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12752964 = 223475623
BaseRepresentation
bin110000101001…
…100001000100
3212222220210000
4300221201010
511231043324
61133201300
7213253440
oct60514104
925886700
1012752964
117220544
124330230
132846943
14199d820
1511bd9c9
hexc29844

12752964 has 60 divisors (see below), whose sum is σ = 38108224. Its totient is φ = 3643056.

The previous prime is 12752951. The next prime is 12752969. The reversal of 12752964 is 46925721.

12752964 is a `hidden beast` number, since 127 + 529 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12752969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 544 + ... + 5079.

Almost surely, 212752964 is an apocalyptic number.

12752964 is a gapful number since it is divisible by the number (14) 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 12752964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054112).

12752964 is an abundant number, since it is smaller than the sum of its proper divisors (25355260).

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

12752964 is a wasteful number, since it uses less digits than its factorization.

12752964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 5635 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 12752964 is about 3571.1292331698. The cubic root of 12752964 is about 233.6345379986.

The spelling of 12752964 in words is "twelve million, seven hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 5623 11246 16869 22492 33738 39361 50607 67476 78722 101214 118083 151821 157444 202428 236166 303642 354249 455463 472332 607284 708498 910926 1062747 1416996 1821852 2125494 3188241 4250988 6376482 12752964