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10475904 = 27327281
BaseRepresentation
bin100111111101…
…100110000000
3201201020020110
4213331212000
510140212104
61012311320
7155020665
oct47754600
921636213
1010475904
115a0577a
123612540
13222a37a
141569a6c
15dbde89
hex9fd980

10475904 has 32 divisors (see below), whose sum is σ = 27827640. Its totient is φ = 3491840.

The previous prime is 10475867. The next prime is 10475909. The reversal of 10475904 is 40957401.

It is a happy number.

10475904 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10475909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13257 + ... + 14024.

Almost surely, 210475904 is an apocalyptic number.

It is an amenable number.

10475904 is an abundant number, since it is smaller than the sum of its proper divisors (17351736).

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

10475904 is an equidigital number, since it uses as much as digits as its factorization.

10475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27298 (or 27286 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 10475904 is about 3236.6501201088. The cubic root of 10475904 is about 218.8083225169.

The spelling of 10475904 in words is "ten million, four hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 27281 54562 81843 109124 163686 218248 327372 436496 654744 872992 1309488 1745984 2618976 3491968 5237952 10475904