Is 360 an abundant number and what is its abundance?

Is 360 an abundant number?

Here we will explain and calculate if 360 is an abundant number and its abundance if applicable.

360 is an abundant number if the sum of its proper divisors is greater than 360.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 30 + 36 + 40 + 45 + 60 + 72 + 90 + 120 + 180 = 810.

810 is greater than 360. Therefore, 360 is an abundant number.

The abundance of 360 is the sum of its proper divisors minus 360. Thus, the abundance of 360 is 810 - 360 = 450

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