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12896268 = 22371117821
BaseRepresentation
bin110001001100…
…100000001100
3220021012100120
4301030200030
511300140033
61140224540
7214421310
oct61144014
926235316
1012896268
117309180
12439b150
132896c38
1419d9b40
1511eb1b3
hexc4c80c

12896268 has 96 divisors (see below), whose sum is σ = 39771648. Its totient is φ = 3148800.

The previous prime is 12896267. The next prime is 12896293. The reversal of 12896268 is 86269821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12896267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15298 + ... + 16118.

It is an arithmetic number, because the mean of its divisors is an integer number (414288).

Almost surely, 212896268 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 12896268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885824).

12896268 is an abundant number, since it is smaller than the sum of its proper divisors (26875380).

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

12896268 is a wasteful number, since it uses less digits than its factorization.

12896268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 12896268 is about 3591.1374242710. The cubic root of 12896268 is about 234.5063911103.

It can be divided in two parts, 1289 and 6268, that added together give a palindrome (7557).

The spelling of 12896268 in words is "twelve million, eight hundred ninety-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 821 924 1122 1309 1428 1642 2244 2463 2618 3284 3927 4926 5236 5747 7854 9031 9852 11494 13957 15708 17241 18062 22988 27093 27914 34482 36124 41871 54186 55828 63217 68964 83742 97699 108372 126434 153527 167484 189651 195398 252868 293097 307054 379302 390796 460581 586194 614108 758604 921162 1074689 1172388 1842324 2149378 3224067 4298756 6448134 12896268