Is 5940 an abundant number and what is its abundance?

Is 5940 an abundant number?

Here we will explain and calculate if 5940 is an abundant number and its abundance if applicable.

5940 is an abundant number if the sum of its proper divisors is greater than 5940.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 11 + 12 + 15 + 18 + 20 + 22 + 27 + 30 + 33 + 36 + 44 + 45 + 54 + 55 + 60 + 66 + 90 + 99 + 108 + 110 + 132 + 135 + 165 + 180 + 198 + 220 + 270 + 297 + 330 + 396 + 495 + 540 + 594 + 660 + 990 + 1188 + 1485 + 1980 + 2970 = 14220.

14220 is greater than 5940. Therefore, 5940 is an abundant number.

The abundance of 5940 is the sum of its proper divisors minus 5940. Thus, the abundance of 5940 is 14220 - 5940 = 8280

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