Is 2520 an abundant number and what is its abundance?

Is 2520 an abundant number?

Here we will explain and calculate if 2520 is an abundant number and its abundance if applicable.

2520 is an abundant number if the sum of its proper divisors is greater than 2520.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 24 + 28 + 30 + 35 + 36 + 40 + 42 + 45 + 56 + 60 + 63 + 70 + 72 + 84 + 90 + 105 + 120 + 126 + 140 + 168 + 180 + 210 + 252 + 280 + 315 + 360 + 420 + 504 + 630 + 840 + 1260 = 6840.

6840 is greater than 2520. Therefore, 2520 is an abundant number.

The abundance of 2520 is the sum of its proper divisors minus 2520. Thus, the abundance of 2520 is 6840 - 2520 = 4320

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