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12838368 = 253133733
BaseRepresentation
bin110000111110…
…010111100000
3220011020221010
4300332113200
511241311433
61135100520
7214060434
oct60762740
926136833
1012838368
117279724
124371740
13287678a
1419c29c4
1511d8e63
hexc3e5e0

12838368 has 24 divisors (see below), whose sum is σ = 33700968. Its totient is φ = 4279424.

The previous prime is 12838337. The next prime is 12838373. The reversal of 12838368 is 86383821.

12838368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66771 + ... + 66962.

It is an arithmetic number, because the mean of its divisors is an integer number (1404207).

Almost surely, 212838368 is an apocalyptic number.

It is an amenable number.

12838368 is an abundant number, since it is smaller than the sum of its proper divisors (20862600).

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

12838368 is a wasteful number, since it uses less digits than its factorization.

12838368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133746 (or 133738 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 12838368 is about 3583.0668428038. The cubic root of 12838368 is about 234.1549123980.

The spelling of 12838368 in words is "twelve million, eight hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 133733 267466 401199 534932 802398 1069864 1604796 2139728 3209592 4279456 6419184 12838368