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113093568 = 2632724007
BaseRepresentation
bin1101011110110…
…10101111000000
321212210202012200
412233122233000
5212422443233
615115553200
72542164600
oct657325700
9255722180
10113093568
1158924965
1231a5b800
131a579493
141103cc00
159dde313
hex6bdabc0

113093568 has 126 divisors (see below), whose sum is σ = 377180856. Its totient is φ = 32304384.

The previous prime is 113093531. The next prime is 113093579. The reversal of 113093568 is 865390311.

It is a happy number.

113093568 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 93 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26221 + ... + 30227.

Almost surely, 2113093568 is an apocalyptic number.

113093568 is a gapful number since it is divisible by the number (18) 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 113093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188590428).

113093568 is an abundant number, since it is smaller than the sum of its proper divisors (264087288).

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

113093568 is a wasteful number, since it uses less digits than its factorization.

113093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 113093568 is about 10634.5459705622. The cubic root of 113093568 is about 483.5922162338.

The spelling of 113093568 in words is "one hundred thirteen million, ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4007 4032 4704 7056 8014 9408 12021 14112 16028 24042 28049 28224 32056 36063 48084 56098 64112 72126 84147 96168 112196 128224 144252 168294 192336 196343 224392 252441 256448 288504 336588 384672 392686 448784 504882 577008 589029 673176 769344 785372 897568 1009764 1154016 1178058 1346352 1570744 1767087 1795136 2019528 2308032 2356116 2692704 3141488 3534174 4039056 4712232 5385408 6282976 7068348 8078112 9424464 12565952 14136696 16156224 18848928 28273392 37697856 56546784 113093568