A number n is said to be 'perfect' if the sum of all its divisors excluding n 'itself' is equal to n. An example of perfect number is :

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Updated on:21/07/2023

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Sum of all the divisors of 360 excluding I and itself is
A800
B801
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Question 1 - Select One
We call a number perfect if it is the sum of all its positive divisors , except itself. For example, 28 is a perfect number because $28 = 1 + 2 + 4 = 7 + 14$ . Which of the following number is a perfect number ?
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If $2^{n} - 1$ is a prime, then sum of all the divisors including 1 and itself of $2^{n - 1} (2^{n} - 1)$ is
A $2^{n} {(2^{n} - 1)}^{2}$
B $2^{n + 1} (2^{n} - 1)$
C $2^{n} (2^{n} - 1)$
D $2^{n - 1} (2^{n} - 1)$
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We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because $28 = 1 + 2 + 4 + 7 + 14$ . Which of the following numbers is a perfect number?
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We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because $28 = 1 + 2 + 4 + 7 + 14$ . Which of the following numbers is a perfect number?
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The number of divisiors of 720 which are multiples of perfect square of first prime number is:
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A number is expressed as $2^{m} \times 3^{n}$ and the sum of all its factors is 124, find m and n.
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A number n is said to be 'perfect' if the sum of all its divisors excluding n 'itself' is equal to n. An example of perfect number is :

The correct Answer is:D

Related Playlists

Similar Practice Problems

Sum of all the divisors of 360 excluding I and itself is

We call a number perfect if it is the sum of all its positive divisors , except itself. For example, 28 is a perfect number because $28 = 1 + 2 + 4 = 7 + 14$ . Which of the following number is a perfect number ?

If $2^{n} - 1$ is a prime, then sum of all the divisors including 1 and itself of $2^{n - 1} (2^{n} - 1)$ is

We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because $28 = 1 + 2 + 4 + 7 + 14$ . Which of the following numbers is a perfect number?

We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because $28 = 1 + 2 + 4 + 7 + 14$ . Which of the following numbers is a perfect number?

The number of divisiors of 720 which are multiples of perfect square of first prime number is:

A number is expressed as $2^{m} \times 3^{n}$ and the sum of all its factors is 124, find m and n.

Find the sum of divisors of 544 which are perfect squares.

Similar Questions

ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS

A number n is said to be 'perfect' if the sum of all its divisors excluding n 'itself' is equal to n. An example of perfect number is :

The correct Answer is:D

Related Playlists

Similar Practice Problems

Sum of all the divisors of 360 excluding I and itself is

We call a number perfect if it is the sum of all its positive divisors , except itself. For example, 28 is a perfect number because 28=1+2+4=7+14 . Which of the following number is a perfect number ?

If 2n−1 is a prime, then sum of all the divisors including 1 and itself of 2n−1(2n−1) is

We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because 28=1+2+4+7+14. Which of the following numbers is a perfect number?

We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because 28=1+2+4+7+14. Which of the following numbers is a perfect number?

The number of divisiors of 720 which are multiples of perfect square of first prime number is:

A number is expressed as 2m×3n and the sum of all its factors is 124, find m and n.

Find the sum of divisors of 544 which are perfect squares.

Similar Questions

ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS

We call a number perfect if it is the sum of all its positive divisors , except itself. For example, 28 is a perfect number because $28 = 1 + 2 + 4 = 7 + 14$ . Which of the following number is a perfect number ?

If $2^{n} - 1$ is a prime, then sum of all the divisors including 1 and itself of $2^{n - 1} (2^{n} - 1)$ is

We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because $28 = 1 + 2 + 4 + 7 + 14$ . Which of the following numbers is a perfect number?

We call a number perfect if it is the sum of all its positive divisors, except itself. e.g. 28 is a perfect number because $28 = 1 + 2 + 4 + 7 + 14$ . Which of the following numbers is a perfect number?

A number is expressed as $2^{m} \times 3^{n}$ and the sum of all its factors is 124, find m and n.