Is 1350 an abundant number and what is its abundance?

Is 1350 an abundant number?

Here we will explain and calculate if 1350 is an abundant number and its abundance if applicable.

1350 is an abundant number if the sum of its proper divisors is greater than 1350.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 25 + 27 + 30 + 45 + 50 + 54 + 75 + 90 + 135 + 150 + 225 + 270 + 450 + 675 = 2370.

2370 is greater than 1350. Therefore, 1350 is an abundant number.

The abundance of 1350 is the sum of its proper divisors minus 1350. Thus, the abundance of 1350 is 2370 - 1350 = 1020

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