Is 1560 an abundant number and what is its abundance?

Is 1560 an abundant number?

Here we will explain and calculate if 1560 is an abundant number and its abundance if applicable.

1560 is an abundant number if the sum of its proper divisors is greater than 1560.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 20 + 24 + 26 + 30 + 39 + 40 + 52 + 60 + 65 + 78 + 104 + 120 + 130 + 156 + 195 + 260 + 312 + 390 + 520 + 780 = 3480.

3480 is greater than 1560. Therefore, 1560 is an abundant number.

The abundance of 1560 is the sum of its proper divisors minus 1560. Thus, the abundance of 1560 is 3480 - 1560 = 1920

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