Is 2400 an abundant number and what is its abundance?

Is 2400 an abundant number?

Here we will explain and calculate if 2400 is an abundant number and its abundance if applicable.

2400 is an abundant number if the sum of its proper divisors is greater than 2400.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 75 + 80 + 96 + 100 + 120 + 150 + 160 + 200 + 240 + 300 + 400 + 480 + 600 + 800 + 1200 = 5412.

5412 is greater than 2400. Therefore, 2400 is an abundant number.

The abundance of 2400 is the sum of its proper divisors minus 2400. Thus, the abundance of 2400 is 5412 - 2400 = 3012

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