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113200704 = 2632593331
BaseRepresentation
bin1101011111101…
…00111001000000
321220000012011200
412233310321000
5212434410304
615122141200
72543122131
oct657647100
9256005150
10113200704
1158998401
1231ab1800
131a5b6186
1411069c88
159e10e39
hex6bf4e40

113200704 has 84 divisors (see below), whose sum is σ = 330067920. Its totient is φ = 37082880.

The previous prime is 113200697. The next prime is 113200709. The reversal of 113200704 is 407002311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113200709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32319 + ... + 35649.

It is an arithmetic number, because the mean of its divisors is an integer number (3929380).

Almost surely, 2113200704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165033960).

113200704 is an abundant number, since it is smaller than the sum of its proper divisors (216867216).

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

113200704 is a wasteful number, since it uses less digits than its factorization.

113200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 113200704 is about 10639.5819466744. The cubic root of 113200704 is about 483.7448738515.

The spelling of 113200704 in words is "one hundred thirteen million, two hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3331 3776 4248 5664 6662 8496 9993 11328 13324 16992 19986 26648 29979 33984 39972 53296 59958 79944 106592 119916 159888 196529 213184 239832 319776 393058 479664 589587 639552 786116 959328 1179174 1572232 1768761 1918656 2358348 3144464 3537522 4716696 6288928 7075044 9433392 12577856 14150088 18866784 28300176 37733568 56600352 113200704