Is 5130 an abundant number and what is its abundance?

Is 5130 an abundant number?

Here we will explain and calculate if 5130 is an abundant number and its abundance if applicable.

5130 is an abundant number if the sum of its proper divisors is greater than 5130.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 19 + 27 + 30 + 38 + 45 + 54 + 57 + 90 + 95 + 114 + 135 + 171 + 190 + 270 + 285 + 342 + 513 + 570 + 855 + 1026 + 1710 + 2565 = 9270.

9270 is greater than 5130. Therefore, 5130 is an abundant number.

The abundance of 5130 is the sum of its proper divisors minus 5130. Thus, the abundance of 5130 is 9270 - 5130 = 4140

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