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12685944 = 2331723159
BaseRepresentation
bin110000011001…
…001001111000
3212212111211210
4300121021320
511221422234
61131523120
7212554155
oct60311170
925774753
1012685944
117185157
1242b94a0
13282229b
14198322c
1511a8be9
hexc19278

12685944 has 96 divisors (see below), whose sum is σ = 35366400. Its totient is φ = 3786240.

The previous prime is 12685943. The next prime is 12685991. The reversal of 12685944 is 44958621.

It is a super-2 number, since 2×126859442 = 321866350342272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12685943) 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, 214987 + ... + 215045.

It is an arithmetic number, because the mean of its divisors is an integer number (368400).

Almost surely, 212685944 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 12685944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683200).

12685944 is an abundant number, since it is smaller than the sum of its proper divisors (22680456).

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

12685944 is a wasteful number, since it uses less digits than its factorization.

12685944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 12685944 is about 3561.7332859157. The cubic root of 12685944 is about 233.2245497448.

It can be divided in two parts, 12 and 685944, that multiplied together give a palindrome (8231328).

The spelling of 12685944 in words is "twelve million, six hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 59 62 68 93 102 118 124 136 177 186 204 236 248 289 354 372 408 472 527 578 708 744 867 1003 1054 1156 1416 1581 1734 1829 2006 2108 2312 3009 3162 3468 3658 4012 4216 5487 6018 6324 6936 7316 8024 8959 10974 12036 12648 14632 17051 17918 21948 24072 26877 31093 34102 35836 43896 51153 53754 62186 68204 71672 93279 102306 107508 124372 136408 186558 204612 215016 248744 373116 409224 528581 746232 1057162 1585743 2114324 3171486 4228648 6342972 12685944