Is 5160 an abundant number and what is its abundance?

Is 5160 an abundant number?

Here we will explain and calculate if 5160 is an abundant number and its abundance if applicable.

5160 is an abundant number if the sum of its proper divisors is greater than 5160.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 30 + 40 + 43 + 60 + 86 + 120 + 129 + 172 + 215 + 258 + 344 + 430 + 516 + 645 + 860 + 1032 + 1290 + 1720 + 2580 = 10680.

10680 is greater than 5160. Therefore, 5160 is an abundant number.

The abundance of 5160 is the sum of its proper divisors minus 5160. Thus, the abundance of 5160 is 10680 - 5160 = 5520

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