Is 1080 an abundant number and what is its abundance?

Is 1080 an abundant number?

Here we will explain and calculate if 1080 is an abundant number and its abundance if applicable.

1080 is an abundant number if the sum of its proper divisors is greater than 1080.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 54 + 60 + 72 + 90 + 108 + 120 + 135 + 180 + 216 + 270 + 360 + 540 = 2520.

2520 is greater than 1080. Therefore, 1080 is an abundant number.

The abundance of 1080 is the sum of its proper divisors minus 1080. Thus, the abundance of 1080 is 2520 - 1080 = 1440

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