Is 1680 an abundant number and what is its abundance?

Is 1680 an abundant number?

Here we will explain and calculate if 1680 is an abundant number and its abundance if applicable.

1680 is an abundant number if the sum of its proper divisors is greater than 1680.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 16 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 48 + 56 + 60 + 70 + 80 + 84 + 105 + 112 + 120 + 140 + 168 + 210 + 240 + 280 + 336 + 420 + 560 + 840 = 4272.

4272 is greater than 1680. Therefore, 1680 is an abundant number.

The abundance of 1680 is the sum of its proper divisors minus 1680. Thus, the abundance of 1680 is 4272 - 1680 = 2592

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