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12278368 = 2529101131
BaseRepresentation
bin101110110101…
…101001100000
3212002210202101
4232311221200
511120401433
61115100144
7206235664
oct56655140
925083671
1012278368
116a26a13
124141654
13270b90b
1418b88a4
15112807d
hexbb5a60

12278368 has 48 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 5824000.

The previous prime is 12278333. The next prime is 12278377. The reversal of 12278368 is 86387221.

12278368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93663 + ... + 93793.

It is an arithmetic number, because the mean of its divisors is an integer number (530145).

Almost surely, 212278368 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 12278368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

12278368 is an abundant number, since it is smaller than the sum of its proper divisors (13168592).

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

12278368 is a wasteful number, since it uses less digits than its factorization.

12278368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 12278368 is about 3504.0502279505. The cubic root of 12278368 is about 230.6996214439.

The spelling of 12278368 in words is "twelve million, two hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 101 116 131 202 232 262 404 464 524 808 928 1048 1616 2096 2929 3232 3799 4192 5858 7598 11716 13231 15196 23432 26462 30392 46864 52924 60784 93728 105848 121568 211696 383699 423392 767398 1534796 3069592 6139184 12278368