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20931264 = 263312113
BaseRepresentation
bin100111111011…
…0001011000000
31110101102022000
41033312023000
520324300024
62024344000
7342625044
oct117661300
943342260
1020931264
11108a6a72
127015000
13444b283
142acc024
151c86cc9
hex13f62c0

20931264 has 56 divisors (see below), whose sum is σ = 61539120. Its totient is φ = 6976512.

The previous prime is 20931263. The next prime is 20931289. The reversal of 20931264 is 46213902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20931263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4329 + ... + 7784.

Almost surely, 220931264 is an apocalyptic number.

20931264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20931264 is an abundant number, since it is smaller than the sum of its proper divisors (40607856).

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

20931264 is a wasteful number, since it uses less digits than its factorization.

20931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12134 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20931264 is about 4575.0698355326. The cubic root of 20931264 is about 275.5910768561.

The spelling of 20931264 in words is "twenty million, nine hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 12113 24226 36339 48452 72678 96904 109017 145356 193808 218034 290712 327051 387616 436068 581424 654102 775232 872136 1162848 1308204 1744272 2325696 2616408 3488544 5232816 6977088 10465632 20931264