Is 1400 an abundant number and what is its abundance?

Is 1400 an abundant number?

Here we will explain and calculate if 1400 is an abundant number and its abundance if applicable.

1400 is an abundant number if the sum of its proper divisors is greater than 1400.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 100 + 140 + 175 + 200 + 280 + 350 + 700 = 2320.

2320 is greater than 1400. Therefore, 1400 is an abundant number.

The abundance of 1400 is the sum of its proper divisors minus 1400. Thus, the abundance of 1400 is 2320 - 1400 = 920

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