Is 1960 an abundant number and what is its abundance?

Is 1960 an abundant number?

Here we will explain and calculate if 1960 is an abundant number and its abundance if applicable.

1960 is an abundant number if the sum of its proper divisors is greater than 1960.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 28 + 35 + 40 + 49 + 56 + 70 + 98 + 140 + 196 + 245 + 280 + 392 + 490 + 980 = 3170.

3170 is greater than 1960. Therefore, 1960 is an abundant number.

The abundance of 1960 is the sum of its proper divisors minus 1960. Thus, the abundance of 1960 is 3170 - 1960 = 1210

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