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113379904 = 26116
BaseRepresentation
bin1101100001000…
…00101001000000
321220100021222201
412300200221000
5213011124104
615130042544
72544466441
oct660405100
9256307881
10113379904
1159000000
1231b79454
131a649901
14110b52c8
159e490a4
hex6c20a40

113379904 has 49 divisors (see below), whose sum is σ = 247487059. Its totient is φ = 51536320.

The previous prime is 113379901. The next prime is 113379941. The reversal of 113379904 is 409973311.

The square root of 113379904 is 10648.

The cubic root of 113379904 is 484.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113379901) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 10307259 + ... + 10307269.

Almost surely, 2113379904 is an apocalyptic number.

113379904 is the 10648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113379904

113379904 is an abundant number, since it is smaller than the sum of its proper divisors (134107155).

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

113379904 is an frugal number, since it uses more digits than its factorization.

113379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 113379904 in words is "one hundred thirteen million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1936 2662 3872 5324 7744 10648 14641 21296 29282 42592 58564 85184 117128 161051 234256 322102 468512 644204 937024 1288408 1771561 2576816 3543122 5153632 7086244 10307264 14172488 28344976 56689952 113379904