Is 1620 an abundant number and what is its abundance?

Is 1620 an abundant number?

Here we will explain and calculate if 1620 is an abundant number and its abundance if applicable.

1620 is an abundant number if the sum of its proper divisors is greater than 1620.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 81 + 90 + 108 + 135 + 162 + 180 + 270 + 324 + 405 + 540 + 810 = 3462.

3462 is greater than 1620. Therefore, 1620 is an abundant number.

The abundance of 1620 is the sum of its proper divisors minus 1620. Thus, the abundance of 1620 is 3462 - 1620 = 1842

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