Is 5180 an abundant number and what is its abundance?

Is 5180 an abundant number?

Here we will explain and calculate if 5180 is an abundant number and its abundance if applicable.

5180 is an abundant number if the sum of its proper divisors is greater than 5180.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 10 + 14 + 20 + 28 + 35 + 37 + 70 + 74 + 140 + 148 + 185 + 259 + 370 + 518 + 740 + 1036 + 1295 + 2590 = 7588.

7588 is greater than 5180. Therefore, 5180 is an abundant number.

The abundance of 5180 is the sum of its proper divisors minus 5180. Thus, the abundance of 5180 is 7588 - 5180 = 2408

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