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12307904 = 26783331
BaseRepresentation
bin101110111100…
…110111000000
3212011022021022
4232330313000
511122323104
61115445012
7206421050
oct56746700
925138238
1012307904
116a47124
124156768
13271c1ab
1418c5560
151131bbe
hexbbcdc0

12307904 has 56 divisors (see below), whose sum is σ = 28334208. Its totient is φ = 5195520.

The previous prime is 12307903. The next prime is 12307927. The reversal of 12307904 is 40970321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37019 + ... + 37349.

It is an arithmetic number, because the mean of its divisors is an integer number (505968).

Almost surely, 212307904 is an apocalyptic number.

12307904 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 12307904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167104).

12307904 is an abundant number, since it is smaller than the sum of its proper divisors (16026304).

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

12307904 is an equidigital number, since it uses as much as digits as its factorization.

12307904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 12307904 is about 3508.2622478942. The cubic root of 12307904 is about 230.8844583752.

The spelling of 12307904 in words is "twelve million, three hundred seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 331 332 448 581 662 664 1162 1324 1328 2317 2324 2648 2656 4634 4648 5296 5312 9268 9296 10592 18536 18592 21184 27473 37072 37184 54946 74144 109892 148288 192311 219784 384622 439568 769244 879136 1538488 1758272 3076976 6153952 12307904