Is 6480 an abundant number and what is its abundance?

Is 6480 an abundant number?

Here we will explain and calculate if 6480 is an abundant number and its abundance if applicable.

6480 is an abundant number if the sum of its proper divisors is greater than 6480.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 81 + 90 + 108 + 120 + 135 + 144 + 162 + 180 + 216 + 240 + 270 + 324 + 360 + 405 + 432 + 540 + 648 + 720 + 810 + 1080 + 1296 + 1620 + 2160 + 3240 = 16026.

16026 is greater than 6480. Therefore, 6480 is an abundant number.

The abundance of 6480 is the sum of its proper divisors minus 6480. Thus, the abundance of 6480 is 16026 - 6480 = 9546

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