Is 1968 an abundant number and what is its abundance?

Is 1968 an abundant number?

Here we will explain and calculate if 1968 is an abundant number and its abundance if applicable.

1968 is an abundant number if the sum of its proper divisors is greater than 1968.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 41 + 48 + 82 + 123 + 164 + 246 + 328 + 492 + 656 + 984 = 3240.

3240 is greater than 1968. Therefore, 1968 is an abundant number.

The abundance of 1968 is the sum of its proper divisors minus 1968. Thus, the abundance of 1968 is 3240 - 1968 = 1272

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