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113465472 = 2731931531
BaseRepresentation
bin1101100001101…
…01100010000000
321220111122100220
412300311202000
5213021343342
615131543040
72545304061
oct660654200
9256448326
10113465472
115905931a
1231bbaa80
131a679843
14110d8568
159e645ec
hex6c35880

113465472 has 64 divisors (see below), whose sum is σ = 303152160. Its totient is φ = 37601280.

The previous prime is 113465467. The next prime is 113465501. The reversal of 113465472 is 274564311.

It is a tau number, because it is divible by the number of its divisors (64).

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, 73347 + ... + 74877.

Almost surely, 2113465472 is an apocalyptic number.

113465472 is a gapful number since it is divisible by the number (12) 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 113465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151576080).

113465472 is an abundant number, since it is smaller than the sum of its proper divisors (189686688).

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

113465472 is a wasteful number, since it uses less digits than its factorization.

113465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1729 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 113465472 is about 10652.0172737374. The cubic root of 113465472 is about 484.1217279144.

The spelling of 113465472 in words is "one hundred thirteen million, four hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 579 772 1158 1531 1544 2316 3062 3088 4593 4632 6124 6176 9186 9264 12248 12352 18372 18528 24496 24704 36744 37056 48992 73488 74112 97984 146976 195968 293952 295483 587904 590966 886449 1181932 1772898 2363864 3545796 4727728 7091592 9455456 14183184 18910912 28366368 37821824 56732736 113465472