Is 6440 an abundant number and what is its abundance?

Is 6440 an abundant number?

Here we will explain and calculate if 6440 is an abundant number and its abundance if applicable.

6440 is an abundant number if the sum of its proper divisors is greater than 6440.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 20 + 23 + 28 + 35 + 40 + 46 + 56 + 70 + 92 + 115 + 140 + 161 + 184 + 230 + 280 + 322 + 460 + 644 + 805 + 920 + 1288 + 1610 + 3220 = 10840.

10840 is greater than 6440. Therefore, 6440 is an abundant number.

The abundance of 6440 is the sum of its proper divisors minus 6440. Thus, the abundance of 6440 is 10840 - 6440 = 4400

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