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12307136 = 261929349
BaseRepresentation
bin101110111100…
…101011000000
3212011021012212
4232330223000
511122312021
61115441252
7206415602
oct56745300
925137185
1012307136
116a46596
124156228
13271ba3a
1418c5172
15113185b
hexbbcac0

12307136 has 56 divisors (see below), whose sum is σ = 26670000. Its totient is φ = 5612544.

The previous prime is 12307109. The next prime is 12307171. The reversal of 12307136 is 63170321.

It is a happy number.

12307136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35090 + ... + 35438.

It is an arithmetic number, because the mean of its divisors is an integer number (476250).

Almost surely, 212307136 is an apocalyptic number.

12307136 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 12307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335000).

12307136 is an abundant number, since it is smaller than the sum of its proper divisors (14362864).

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

12307136 is a wasteful number, since it uses less digits than its factorization.

12307136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 12307136 is about 3508.1527902872. The cubic root of 12307136 is about 230.8796559612.

Adding to 12307136 its reverse (63170321), we get a palindrome (75477457).

The spelling of 12307136 in words is "twelve million, three hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 152 232 304 349 464 551 608 698 928 1102 1216 1396 1856 2204 2792 4408 5584 6631 8816 10121 11168 13262 17632 20242 22336 26524 35264 40484 53048 80968 106096 161936 192299 212192 323872 384598 424384 647744 769196 1538392 3076784 6153568 12307136