Is 420 an abundant number and what is its abundance?

Is 420 an abundant number?

Here we will explain and calculate if 420 is an abundant number and its abundance if applicable.

420 is an abundant number if the sum of its proper divisors is greater than 420.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 42 + 60 + 70 + 84 + 105 + 140 + 210 = 924.

924 is greater than 420. Therefore, 420 is an abundant number.

The abundance of 420 is the sum of its proper divisors minus 420. Thus, the abundance of 420 is 924 - 420 = 504

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