Is 840 an abundant number and what is its abundance?

Is 840 an abundant number?

Here we will explain and calculate if 840 is an abundant number and its abundance if applicable.

840 is an abundant number if the sum of its proper divisors is greater than 840.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 10 + 12 + 14 + 15 + 20 + 21 + 24 + 28 + 30 + 35 + 40 + 42 + 56 + 60 + 70 + 84 + 105 + 120 + 140 + 168 + 210 + 280 + 420 = 2040.

2040 is greater than 840. Therefore, 840 is an abundant number.

The abundance of 840 is the sum of its proper divisors minus 840. Thus, the abundance of 840 is 2040 - 840 = 1200

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