Is 6840 an abundant number and what is its abundance?

Is 6840 an abundant number?

Here we will explain and calculate if 6840 is an abundant number and its abundance if applicable.

6840 is an abundant number if the sum of its proper divisors is greater than 6840.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 19 + 20 + 24 + 30 + 36 + 38 + 40 + 45 + 57 + 60 + 72 + 76 + 90 + 95 + 114 + 120 + 152 + 171 + 180 + 190 + 228 + 285 + 342 + 360 + 380 + 456 + 570 + 684 + 760 + 855 + 1140 + 1368 + 1710 + 2280 + 3420 = 16560.

16560 is greater than 6840. Therefore, 6840 is an abundant number.

The abundance of 6840 is the sum of its proper divisors minus 6840. Thus, the abundance of 6840 is 16560 - 6840 = 9720

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