Is 3510 an abundant number and what is its abundance?

Is 3510 an abundant number?

Here we will explain and calculate if 3510 is an abundant number and its abundance if applicable.

3510 is an abundant number if the sum of its proper divisors is greater than 3510.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 13 + 15 + 18 + 26 + 27 + 30 + 39 + 45 + 54 + 65 + 78 + 90 + 117 + 130 + 135 + 195 + 234 + 270 + 351 + 390 + 585 + 702 + 1170 + 1755 = 6570.

6570 is greater than 3510. Therefore, 3510 is an abundant number.

The abundance of 3510 is the sum of its proper divisors minus 3510. Thus, the abundance of 3510 is 6570 - 3510 = 3060

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