Is 3680 an abundant number and what is its abundance?

Is 3680 an abundant number?

Here we will explain and calculate if 3680 is an abundant number and its abundance if applicable.

3680 is an abundant number if the sum of its proper divisors is greater than 3680.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 23 + 32 + 40 + 46 + 80 + 92 + 115 + 160 + 184 + 230 + 368 + 460 + 736 + 920 + 1840 = 5392.

5392 is greater than 3680. Therefore, 3680 is an abundant number.

The abundance of 3680 is the sum of its proper divisors minus 3680. Thus, the abundance of 3680 is 5392 - 3680 = 1712

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