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104153292 = 223223125789
BaseRepresentation
bin1100011010101…
…00000011001100
321020222112110100
412031110003030
5203130401132
614200211100
72403200625
oct615240314
9236875410
10104153292
1153878a01
122aa69a90
1318769089
14db92a4c
15922537c
hex63540cc

104153292 has 36 divisors (see below), whose sum is σ = 274725360. Its totient is φ = 33208032.

The previous prime is 104153279. The next prime is 104153299. The reversal of 104153292 is 292351401.

104153292 is a `hidden beast` number, since 1 + 0 + 41 + 532 + 92 = 666.

104153292 is digitally balanced in base 9, because in such base 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 (36).

104153292 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (104153299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62067 + ... + 63722.

It is an arithmetic number, because the mean of its divisors is an integer number (7631260).

Almost surely, 2104153292 is an apocalyptic number.

104153292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104153292 is an abundant number, since it is smaller than the sum of its proper divisors (170572068).

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

104153292 is a wasteful number, since it uses less digits than its factorization.

104153292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125822 (or 125817 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104153292 is about 10205.5520183869. The cubic root of 104153292 is about 470.4978759094.

The spelling of 104153292 in words is "one hundred four million, one hundred fifty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 125789 251578 377367 503156 754734 1132101 1509468 2264202 2893147 4528404 5786294 8679441 11572588 17358882 26038323 34717764 52076646 104153292