Is 1020 an abundant number and what is its abundance?

Is 1020 an abundant number?

Here we will explain and calculate if 1020 is an abundant number and its abundance if applicable.

1020 is an abundant number if the sum of its proper divisors is greater than 1020.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 17 + 20 + 30 + 34 + 51 + 60 + 68 + 85 + 102 + 170 + 204 + 255 + 340 + 510 = 2004.

2004 is greater than 1020. Therefore, 1020 is an abundant number.

The abundance of 1020 is the sum of its proper divisors minus 1020. Thus, the abundance of 1020 is 2004 - 1020 = 984

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