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23136984 = 233213191301
BaseRepresentation
bin101100001000…
…0101011011000
31121112110222100
41120100223120
521410340414
62143523400
7400442523
oct130205330
947473870
1023136984
1112073182
1278b9560
134a41230
143103bba
152070609
hex1610ad8

23136984 has 96 divisors (see below), whose sum is σ = 71089200. Its totient is φ = 6739200.

The previous prime is 23136977. The next prime is 23137001. The reversal of 23136984 is 48963132.

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

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

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, 17134 + ... + 18434.

Almost surely, 223136984 is an apocalyptic number.

23136984 is a gapful number since it is divisible by the number (24) 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 23136984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544600).

23136984 is an abundant number, since it is smaller than the sum of its proper divisors (47952216).

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

23136984 is a wasteful number, since it uses less digits than its factorization.

23136984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1338 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23136984 is about 4810.0918910141. The cubic root of 23136984 is about 284.9501667256.

The spelling of 23136984 in words is "twenty-three million, one hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 171 228 234 247 312 342 456 468 494 684 741 936 988 1301 1368 1482 1976 2223 2602 2964 3903 4446 5204 5928 7806 8892 10408 11709 15612 16913 17784 23418 24719 31224 33826 46836 49438 50739 67652 74157 93672 98876 101478 135304 148314 152217 197752 202956 222471 296628 304434 321347 405912 444942 593256 608868 642694 889884 964041 1217736 1285388 1779768 1928082 2570776 2892123 3856164 5784246 7712328 11568492 23136984