Is 870 an abundant number and what is its abundance?

Is 870 an abundant number?

Here we will explain and calculate if 870 is an abundant number and its abundance if applicable.

870 is an abundant number if the sum of its proper divisors is greater than 870.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 10 + 15 + 29 + 30 + 58 + 87 + 145 + 174 + 290 + 435 = 1290.

1290 is greater than 870. Therefore, 870 is an abundant number.

The abundance of 870 is the sum of its proper divisors minus 870. Thus, the abundance of 870 is 1290 - 870 = 420

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