Is 4140 an abundant number and what is its abundance?

Is 4140 an abundant number?

Here we will explain and calculate if 4140 is an abundant number and its abundance if applicable.

4140 is an abundant number if the sum of its proper divisors is greater than 4140.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 23 + 30 + 36 + 45 + 46 + 60 + 69 + 90 + 92 + 115 + 138 + 180 + 207 + 230 + 276 + 345 + 414 + 460 + 690 + 828 + 1035 + 1380 + 2070 = 8964.

8964 is greater than 4140. Therefore, 4140 is an abundant number.

The abundance of 4140 is the sum of its proper divisors minus 4140. Thus, the abundance of 4140 is 8964 - 4140 = 4824

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