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12868008 = 2333743337
BaseRepresentation
bin110001000101…
…100110101000
3220012202120220
4301011212220
511243234013
61135450040
7214243026
oct61054650
926182526
1012868008
117299a1a
124386920
13288710a
1419cd716
1511e2b23
hexc459a8

12868008 has 64 divisors (see below), whose sum is σ = 33908160. Its totient is φ = 4064256.

The previous prime is 12868003. The next prime is 12868013. The reversal of 12868008 is 80086821.

It is an interprime number because it is at equal distance from previous prime (12868003) and next prime (12868013).

It is a self number, because there is not a number n which added to its sum of digits gives 12868008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38016 + ... + 38352.

It is an arithmetic number, because the mean of its divisors is an integer number (529815).

Almost surely, 212868008 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 12868008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954080).

12868008 is an abundant number, since it is smaller than the sum of its proper divisors (21040152).

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

12868008 is a wasteful number, since it uses less digits than its factorization.

12868008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 12868008 is about 3587.2005798394. The cubic root of 12868008 is about 234.3349720797.

The spelling of 12868008 in words is "twelve million, eight hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 172 222 258 296 337 344 444 516 674 888 1011 1032 1348 1591 2022 2696 3182 4044 4773 6364 8088 9546 12469 12728 14491 19092 24938 28982 37407 38184 43473 49876 57964 74814 86946 99752 115928 149628 173892 299256 347784 536167 1072334 1608501 2144668 3217002 4289336 6434004 12868008