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12675663 = 3372111367
BaseRepresentation
bin110000010110…
…101001001111
3212211222202000
4300112221033
511221110123
61131403343
7212512200
oct60265117
925758660
1012675663
117178460
1242b3553
13281a6c0
14197d5a7
1511a5b43
hexc16a4f

12675663 has 96 divisors (see below), whose sum is σ = 26046720. Its totient is φ = 5987520.

The previous prime is 12675623. The next prime is 12675667. The reversal of 12675663 is 36657621.

12675663 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12675663 - 214 = 12659279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12675667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189156 + ... + 189222.

It is an arithmetic number, because the mean of its divisors is an integer number (271320).

Almost surely, 212675663 is an apocalyptic number.

12675663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12675663 is an abundant number, since it is smaller than the sum of its proper divisors (13371057).

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

12675663 is a wasteful number, since it uses less digits than its factorization.

12675663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 12675663 is about 3560.2897354008. The cubic root of 12675663 is about 233.1615290865.

The spelling of 12675663 in words is "twelve million, six hundred seventy-five thousand, six hundred sixty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 67 77 91 99 117 143 147 189 201 231 273 297 351 429 441 469 539 603 637 693 737 819 871 1001 1287 1323 1407 1617 1809 1911 2079 2211 2457 2613 3003 3283 3861 4221 4851 5159 5733 6097 6633 7007 7839 9009 9581 9849 12663 14553 15477 17199 18291 19899 21021 23517 27027 28743 29547 36113 42679 46431 54873 63063 67067 86229 88641 108339 128037 139293 164619 189189 201201 258687 325017 384111 469469 603603 975051 1152333 1408407 1810809 4225221 12675663