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12431136 = 253129491
BaseRepresentation
bin101111011010…
…111100100000
3212101120022110
4233122330200
511140244021
61122235320
7210443244
oct57327440
925346273
1012431136
117020773
1241b5b40
132763303
141918424
151158476
hexbdaf20

12431136 has 24 divisors (see below), whose sum is σ = 32631984. Its totient is φ = 4143680.

The previous prime is 12431117. The next prime is 12431143. The reversal of 12431136 is 63113421.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 64650 + ... + 64841.

It is an arithmetic number, because the mean of its divisors is an integer number (1359666).

Almost surely, 212431136 is an apocalyptic number.

12431136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12431136 is an abundant number, since it is smaller than the sum of its proper divisors (20200848).

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

12431136 is a wasteful number, since it uses less digits than its factorization.

12431136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129504 (or 129496 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 12431136 is about 3525.7816154720. The cubic root of 12431136 is about 231.6524721447.

Adding to 12431136 its reverse (63113421), we get a palindrome (75544557).

The spelling of 12431136 in words is "twelve million, four hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 129491 258982 388473 517964 776946 1035928 1553892 2071856 3107784 4143712 6215568 12431136