Is 1260 an abundant number and what is its abundance?

Is 1260 an abundant number?

Here we will explain and calculate if 1260 is an abundant number and its abundance if applicable.

1260 is an abundant number if the sum of its proper divisors is greater than 1260.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 9 + 10 + 12 + 14 + 15 + 18 + 20 + 21 + 28 + 30 + 35 + 36 + 42 + 45 + 60 + 63 + 70 + 84 + 90 + 105 + 126 + 140 + 180 + 210 + 252 + 315 + 420 + 630 = 3108.

3108 is greater than 1260. Therefore, 1260 is an abundant number.

The abundance of 1260 is the sum of its proper divisors minus 1260. Thus, the abundance of 1260 is 3108 - 1260 = 1848

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