Is 6960 an abundant number and what is its abundance?

Is 6960 an abundant number?

Here we will explain and calculate if 6960 is an abundant number and its abundance if applicable.

6960 is an abundant number if the sum of its proper divisors is greater than 6960.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 29 + 30 + 40 + 48 + 58 + 60 + 80 + 87 + 116 + 120 + 145 + 174 + 232 + 240 + 290 + 348 + 435 + 464 + 580 + 696 + 870 + 1160 + 1392 + 1740 + 2320 + 3480 = 15360.

15360 is greater than 6960. Therefore, 6960 is an abundant number.

The abundance of 6960 is the sum of its proper divisors minus 6960. Thus, the abundance of 6960 is 15360 - 6960 = 8400

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