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113189472 = 25321135729
BaseRepresentation
bin1101011111100…
…10001001100000
321212222121202200
412233302021200
5212434030342
615122013200
72543044314
oct657621140
9255877680
10113189472
115898aa20
1231aa7200
131a5b1026
1411065b44
159e0c94c
hex6bf2260

113189472 has 72 divisors (see below), whose sum is σ = 351154440. Its totient is φ = 34298880.

The previous prime is 113189471. The next prime is 113189477. The reversal of 113189472 is 274981311.

It is a happy number.

113189472 is a `hidden beast` number, since 1 + 1 + 3 + 189 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113189471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14697 + ... + 21032.

It is an arithmetic number, because the mean of its divisors is an integer number (4877145).

Almost surely, 2113189472 is an apocalyptic number.

113189472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113189472 is an abundant number, since it is smaller than the sum of its proper divisors (237964968).

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

113189472 is a wasteful number, since it uses less digits than its factorization.

113189472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35756 (or 35745 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 113189472 is about 10639.0540932923. The cubic root of 113189472 is about 483.7288739447.

The spelling of 113189472 in words is "one hundred thirteen million, one hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 35729 71458 107187 142916 214374 285832 321561 393019 428748 571664 643122 786038 857496 1143328 1179057 1286244 1572076 1714992 2358114 2572488 3144152 3429984 3537171 4716228 5144976 6288304 7074342 9432456 10289952 12576608 14148684 18864912 28297368 37729824 56594736 113189472