Is 5220 an abundant number and what is its abundance?

Is 5220 an abundant number?

Here we will explain and calculate if 5220 is an abundant number and its abundance if applicable.

5220 is an abundant number if the sum of its proper divisors is greater than 5220.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 29 + 30 + 36 + 45 + 58 + 60 + 87 + 90 + 116 + 145 + 174 + 180 + 261 + 290 + 348 + 435 + 522 + 580 + 870 + 1044 + 1305 + 1740 + 2610 = 11160.

11160 is greater than 5220. Therefore, 5220 is an abundant number.

The abundance of 5220 is the sum of its proper divisors minus 5220. Thus, the abundance of 5220 is 11160 - 5220 = 5940

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