Is 5820 an abundant number and what is its abundance?

Is 5820 an abundant number?

Here we will explain and calculate if 5820 is an abundant number and its abundance if applicable.

5820 is an abundant number if the sum of its proper divisors is greater than 5820.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 + 60 + 97 + 194 + 291 + 388 + 485 + 582 + 970 + 1164 + 1455 + 1940 + 2910 = 10644.

10644 is greater than 5820. Therefore, 5820 is an abundant number.

The abundance of 5820 is the sum of its proper divisors minus 5820. Thus, the abundance of 5820 is 10644 - 5820 = 4824

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