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23086272 = 2631117643
BaseRepresentation
bin101100000010…
…0010011000000
31121102220102010
41120010103000
521402230042
62142452520
7400141626
oct130042300
947386363
1023086272
1112039070
127894140
134a24121
1430cd516
15206059c
hex16044c0

23086272 has 112 divisors (see below), whose sum is σ = 70664832. Its totient is φ = 6574080.

The previous prime is 23086267. The next prime is 23086303. The reversal of 23086272 is 27268032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35583 + ... + 36225.

It is an arithmetic number, because the mean of its divisors is an integer number (630936).

Almost surely, 223086272 is an apocalyptic number.

23086272 is a gapful number since it is divisible by the number (22) 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 23086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35332416).

23086272 is an abundant number, since it is smaller than the sum of its proper divisors (47578560).

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

23086272 is a wasteful number, since it uses less digits than its factorization.

23086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23086272 is about 4804.8175823854. The cubic root of 23086272 is about 284.7418283749.

The spelling of 23086272 in words is "twenty-three million, eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 643 704 748 816 1056 1088 1122 1286 1496 1632 1929 2112 2244 2572 2992 3264 3858 4488 5144 5984 7073 7716 8976 10288 10931 11968 14146 15432 17952 20576 21219 21862 28292 30864 32793 35904 41152 42438 43724 56584 61728 65586 84876 87448 113168 120241 123456 131172 169752 174896 226336 240482 262344 339504 349792 360723 452672 480964 524688 679008 699584 721446 961928 1049376 1358016 1442892 1923856 2098752 2885784 3847712 5771568 7695424 11543136 23086272