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12865464 = 23321723457
BaseRepresentation
bin110001000100…
…111110111000
3220012122002200
4301010332320
511243143324
61135430200
7214232433
oct61047670
926178080
1012865464
117298017
124385360
132885c01
1419cc81a
1511e1ec9
hexc44fb8

12865464 has 96 divisors (see below), whose sum is σ = 38581920. Its totient is φ = 3852288.

The previous prime is 12865439. The next prime is 12865469. The reversal of 12865464 is 46456821.

12865464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12865469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27924 + ... + 28380.

It is an arithmetic number, because the mean of its divisors is an integer number (401895).

Almost surely, 212865464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12865464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290960).

12865464 is an abundant number, since it is smaller than the sum of its proper divisors (25716456).

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

12865464 is a wasteful number, since it uses less digits than its factorization.

12865464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 12865464 is about 3586.8459682568. The cubic root of 12865464 is about 234.3195284188.

The spelling of 12865464 in words is "twelve million, eight hundred sixty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 457 552 612 782 828 914 1173 1224 1371 1564 1656 1828 2346 2742 3128 3519 3656 4113 4692 5484 7038 7769 8226 9384 10511 10968 14076 15538 16452 21022 23307 28152 31076 31533 32904 42044 46614 62152 63066 69921 84088 93228 94599 126132 139842 178687 186456 189198 252264 279684 357374 378396 536061 559368 714748 756792 1072122 1429496 1608183 2144244 3216366 4288488 6432732 12865464