Is 1530 an abundant number and what is its abundance?

Is 1530 an abundant number?

Here we will explain and calculate if 1530 is an abundant number and its abundance if applicable.

1530 is an abundant number if the sum of its proper divisors is greater than 1530.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 17 + 18 + 30 + 34 + 45 + 51 + 85 + 90 + 102 + 153 + 170 + 255 + 306 + 510 + 765 = 2682.

2682 is greater than 1530. Therefore, 1530 is an abundant number.

The abundance of 1530 is the sum of its proper divisors minus 1530. Thus, the abundance of 1530 is 2682 - 1530 = 1152

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