Is 1540 an abundant number and what is its abundance?

Is 1540 an abundant number?

Here we will explain and calculate if 1540 is an abundant number and its abundance if applicable.

1540 is an abundant number if the sum of its proper divisors is greater than 1540.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 5 + 7 + 10 + 11 + 14 + 20 + 22 + 28 + 35 + 44 + 55 + 70 + 77 + 110 + 140 + 154 + 220 + 308 + 385 + 770 = 2492.

2492 is greater than 1540. Therefore, 1540 is an abundant number.

The abundance of 1540 is the sum of its proper divisors minus 1540. Thus, the abundance of 1540 is 2492 - 1540 = 952

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