Is 4320 an abundant number and what is its abundance?

Is 4320 an abundant number?

Here we will explain and calculate if 4320 is an abundant number and its abundance if applicable.

4320 is an abundant number if the sum of its proper divisors is greater than 4320.

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 + 32 + 36 + 40 + 45 + 48 + 54 + 60 + 72 + 80 + 90 + 96 + 108 + 120 + 135 + 144 + 160 + 180 + 216 + 240 + 270 + 288 + 360 + 432 + 480 + 540 + 720 + 864 + 1080 + 1440 + 2160 = 10800.

10800 is greater than 4320. Therefore, 4320 is an abundant number.

The abundance of 4320 is the sum of its proper divisors minus 4320. Thus, the abundance of 4320 is 10800 - 4320 = 6480

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