Is 4920 an abundant number and what is its abundance?

Is 4920 an abundant number?

Here we will explain and calculate if 4920 is an abundant number and its abundance if applicable.

4920 is an abundant number if the sum of its proper divisors is greater than 4920.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 30 + 40 + 41 + 60 + 82 + 120 + 123 + 164 + 205 + 246 + 328 + 410 + 492 + 615 + 820 + 984 + 1230 + 1640 + 2460 = 10200.

10200 is greater than 4920. Therefore, 4920 is an abundant number.

The abundance of 4920 is the sum of its proper divisors minus 4920. Thus, the abundance of 4920 is 10200 - 4920 = 5280

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