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12379136 = 210711157
BaseRepresentation
bin101111001110…
…010000000000
3212021220222112
4233032100000
511132113021
61121154452
7210135530
oct57162000
925256875
1012379136
116a956a0
12418ba28
132745743
1419034c0
151147d5b
hexbce400

12379136 has 88 divisors (see below), whose sum is σ = 31048896. Its totient is φ = 4792320.

The previous prime is 12379109. The next prime is 12379139. The reversal of 12379136 is 63197321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12379139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78770 + ... + 78926.

Almost surely, 212379136 is an apocalyptic number.

12379136 is a gapful number since it is divisible by the number (16) 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 12379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524448).

12379136 is an abundant number, since it is smaller than the sum of its proper divisors (18669760).

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

12379136 is a wasteful number, since it uses less digits than its factorization.

12379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 12379136 is about 3518.3996361983. The cubic root of 12379136 is about 231.3290164843.

The spelling of 12379136 in words is "twelve million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 157 176 224 256 308 314 352 448 512 616 628 704 896 1024 1099 1232 1256 1408 1727 1792 2198 2464 2512 2816 3454 3584 4396 4928 5024 5632 6908 7168 8792 9856 10048 11264 12089 13816 17584 19712 20096 24178 27632 35168 39424 40192 48356 55264 70336 78848 80384 96712 110528 140672 160768 193424 221056 281344 386848 442112 562688 773696 884224 1125376 1547392 1768448 3094784 6189568 12379136