Is 6120 an abundant number and what is its abundance?

Is 6120 an abundant number?

Here we will explain and calculate if 6120 is an abundant number and its abundance if applicable.

6120 is an abundant number if the sum of its proper divisors is greater than 6120.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 17 + 18 + 20 + 24 + 30 + 34 + 36 + 40 + 45 + 51 + 60 + 68 + 72 + 85 + 90 + 102 + 120 + 136 + 153 + 170 + 180 + 204 + 255 + 306 + 340 + 360 + 408 + 510 + 612 + 680 + 765 + 1020 + 1224 + 1530 + 2040 + 3060 = 14940.

14940 is greater than 6120. Therefore, 6120 is an abundant number.

The abundance of 6120 is the sum of its proper divisors minus 6120. Thus, the abundance of 6120 is 14940 - 6120 = 8820

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