Is 1600 an abundant number and what is its abundance?

Is 1600 an abundant number?

Here we will explain and calculate if 1600 is an abundant number and its abundance if applicable.

1600 is an abundant number if the sum of its proper divisors is greater than 1600.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 160 + 200 + 320 + 400 + 800 = 2337.

2337 is greater than 1600. Therefore, 1600 is an abundant number.

The abundance of 1600 is the sum of its proper divisors minus 1600. Thus, the abundance of 1600 is 2337 - 1600 = 737

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