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31530996 = 22327211593
BaseRepresentation
bin111100001000…
…1111111110100
32012022221101200
41320101333310
531032442441
63043452500
7532003050
oct170217764
965287350
1031530996
1116886782
12a687130
1366bcac3
14428ac60
152b7c7b6
hex1e11ff4

31530996 has 72 divisors (see below), whose sum is σ = 91675584. Its totient is φ = 8951040.

The previous prime is 31530979. The next prime is 31531001. The reversal of 31530996 is 69903513.

31530996 is a `hidden beast` number, since 31 + 530 + 9 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31530996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52876 + ... + 53468.

It is an arithmetic number, because the mean of its divisors is an integer number (1273272).

Almost surely, 231530996 is an apocalyptic number.

31530996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31530996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45837792).

31530996 is an abundant number, since it is smaller than the sum of its proper divisors (60144588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31530996 is a wasteful number, since it uses less digits than its factorization.

31530996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 31530996 is about 5615.2467443559. The cubic root of 31530996 is about 315.9215342218.

The spelling of 31530996 in words is "thirty-one million, five hundred thirty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 593 633 844 1186 1266 1477 1779 1899 2372 2532 2954 3558 3798 4151 4431 5337 5908 7116 7596 8302 8862 10674 12453 13293 16604 17724 21348 24906 26586 37359 49812 53172 74718 125123 149436 250246 375369 500492 750738 875861 1126107 1501476 1751722 2252214 2627583 3503444 4504428 5255166 7882749 10510332 15765498 31530996