Is 4640 an abundant number and what is its abundance?

Is 4640 an abundant number?

Here we will explain and calculate if 4640 is an abundant number and its abundance if applicable.

4640 is an abundant number if the sum of its proper divisors is greater than 4640.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 29 + 32 + 40 + 58 + 80 + 116 + 145 + 160 + 232 + 290 + 464 + 580 + 928 + 1160 + 2320 = 6700.

6700 is greater than 4640. Therefore, 4640 is an abundant number.

The abundance of 4640 is the sum of its proper divisors minus 4640. Thus, the abundance of 4640 is 6700 - 4640 = 2060

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