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12139904 = 27717797
BaseRepresentation
bin101110010011…
…110110000000
3211211202211002
4232103312000
511101434104
61112111132
7205121210
oct56236600
924752732
1012139904
116941987
1240954a8
13269089a
141880240
1510ec01e
hexb93d80

12139904 has 64 divisors (see below), whose sum is σ = 29302560. Its totient is φ = 4890624.

The previous prime is 12139891. The next prime is 12139913. The reversal of 12139904 is 40993121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14834 + ... + 15630.

Almost surely, 212139904 is an apocalyptic number.

12139904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651280).

12139904 is an abundant number, since it is smaller than the sum of its proper divisors (17162656).

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

12139904 is an equidigital number, since it uses as much as digits as its factorization.

12139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 12139904 is about 3484.2365017318. The cubic root of 12139904 is about 229.8291358585.

The spelling of 12139904 in words is "twelve million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 797 896 952 1088 1594 1904 2176 3188 3808 5579 6376 7616 11158 12752 13549 15232 22316 25504 27098 44632 51008 54196 89264 94843 102016 108392 178528 189686 216784 357056 379372 433568 714112 758744 867136 1517488 1734272 3034976 6069952 12139904