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12889368 = 233419891
BaseRepresentation
bin110001001010…
…110100011000
3220020211220000
4301022310120
511244424433
61140133000
7214362222
oct61126430
926224800
1012889368
117303a78
124397160
132893a5b
1419d7412
1511e9113
hexc4ad18

12889368 has 40 divisors (see below), whose sum is σ = 36103980. Its totient is φ = 4296240.

The previous prime is 12889351. The next prime is 12889423. The reversal of 12889368 is 86398821.

12889368 is a `hidden beast` number, since 1 + 288 + 9 + 368 = 666.

It is a super-2 number, since 2×128893682 = 332271614878848, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 9298 + ... + 10593.

Almost surely, 212889368 is an apocalyptic number.

12889368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12889368 is an abundant number, since it is smaller than the sum of its proper divisors (23214612).

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

12889368 is a wasteful number, since it uses less digits than its factorization.

12889368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19909 (or 19896 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12889368 is about 3590.1765973278. The cubic root of 12889368 is about 234.4645603325.

The spelling of 12889368 in words is "twelve million, eight hundred eighty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19891 39782 59673 79564 119346 159128 179019 238692 358038 477384 537057 716076 1074114 1432152 1611171 2148228 3222342 4296456 6444684 12889368