Is 1140 an abundant number and what is its abundance?

Is 1140 an abundant number?

Here we will explain and calculate if 1140 is an abundant number and its abundance if applicable.

1140 is an abundant number if the sum of its proper divisors is greater than 1140.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 19 + 20 + 30 + 38 + 57 + 60 + 76 + 95 + 114 + 190 + 228 + 285 + 380 + 570 = 2220.

2220 is greater than 1140. Therefore, 1140 is an abundant number.

The abundance of 1140 is the sum of its proper divisors minus 1140. Thus, the abundance of 1140 is 2220 - 1140 = 1080

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