Is 5670 an abundant number and what is its abundance?

Is 5670 an abundant number?

Here we will explain and calculate if 5670 is an abundant number and its abundance if applicable.

5670 is an abundant number if the sum of its proper divisors is greater than 5670.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 5 + 6 + 7 + 9 + 10 + 14 + 15 + 18 + 21 + 27 + 30 + 35 + 42 + 45 + 54 + 63 + 70 + 81 + 90 + 105 + 126 + 135 + 162 + 189 + 210 + 270 + 315 + 378 + 405 + 567 + 630 + 810 + 945 + 1134 + 1890 + 2835 = 11754.

11754 is greater than 5670. Therefore, 5670 is an abundant number.

The abundance of 5670 is the sum of its proper divisors minus 5670. Thus, the abundance of 5670 is 11754 - 5670 = 6084

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