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31872090 = 2351079929
BaseRepresentation
bin111100110010…
…1010001011010
32012222021021210
41321211101122
531124401330
63055043550
7534623355
oct171452132
965867253
1031872090
1116a99a78
12a8105b6
1367ac133
14433929c
152be88b0
hex1e6545a

31872090 has 32 divisors (see below), whose sum is σ = 77215680. Its totient is φ = 8418944.

The previous prime is 31872079. The next prime is 31872107. The reversal of 31872090 is 9027813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1755 + ... + 8174.

It is an arithmetic number, because the mean of its divisors is an integer number (2412990).

Almost surely, 231872090 is an apocalyptic number.

31872090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31872090 is an abundant number, since it is smaller than the sum of its proper divisors (45343590).

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

31872090 is a wasteful number, since it uses less digits than its factorization.

31872090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 31872090 is about 5645.5371755042. The cubic root of 31872090 is about 317.0566362134.

The spelling of 31872090 in words is "thirty-one million, eight hundred seventy-two thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 107 214 321 535 642 1070 1605 3210 9929 19858 29787 49645 59574 99290 148935 297870 1062403 2124806 3187209 5312015 6374418 10624030 15936045 31872090