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12391904 = 25731129
BaseRepresentation
bin101111010001…
…010111100000
3212022120111102
4233101113200
511133020104
61121333532
7210221000
oct57212740
925276442
1012391904
116aa4248
1241972a8
13274b4b5
141908000
15114ba1e
hexbd15e0

12391904 has 48 divisors (see below), whose sum is σ = 28476000. Its totient is φ = 5306112.

The previous prime is 12391867. The next prime is 12391913. The reversal of 12391904 is 40919321.

It is a happy number.

12391904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 10412 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (593250).

Almost surely, 212391904 is an apocalyptic number.

12391904 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 12391904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238000).

12391904 is an abundant number, since it is smaller than the sum of its proper divisors (16084096).

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

12391904 is an equidigital number, since it uses as much as digits as its factorization.

12391904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1138 counting only the distinct ones).

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

The square root of 12391904 is about 3520.2136298810. The cubic root of 12391904 is about 231.4085210636.

The spelling of 12391904 in words is "twelve million, three hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1129 1372 1568 2258 2744 4516 5488 7903 9032 10976 15806 18064 31612 36128 55321 63224 110642 126448 221284 252896 387247 442568 774494 885136 1548988 1770272 3097976 6195952 12391904