Is 6360 an abundant number and what is its abundance?

Is 6360 an abundant number?

Here we will explain and calculate if 6360 is an abundant number and its abundance if applicable.

6360 is an abundant number if the sum of its proper divisors is greater than 6360.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 30 + 40 + 53 + 60 + 106 + 120 + 159 + 212 + 265 + 318 + 424 + 530 + 636 + 795 + 1060 + 1272 + 1590 + 2120 + 3180 = 13080.

13080 is greater than 6360. Therefore, 6360 is an abundant number.

The abundance of 6360 is the sum of its proper divisors minus 6360. Thus, the abundance of 6360 is 13080 - 6360 = 6720

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