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113456385 = 32571721187
BaseRepresentation
bin1101100001100…
…11010100000001
321220111011220100
412300303110001
5213021101020
615131433013
72545235430
oct660632401
9256434810
10113456385
1159052509
1231bb5769
131a675673
14110d5117
159e61a90
hex6c33501

113456385 has 48 divisors (see below), whose sum is σ = 237983616. Its totient is φ = 48812544.

The previous prime is 113456383. The next prime is 113456459. The reversal of 113456385 is 583654311.

113456385 is a `hidden beast` number, since 1 + 13 + 4 + 5 + 638 + 5 = 666.

It is not a de Polignac number, because 113456385 - 21 = 113456383 is a prime.

It is a super-3 number, since 3×1134563853 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (113456383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5239 + ... + 15948.

It is an arithmetic number, because the mean of its divisors is an integer number (4957992).

Almost surely, 2113456385 is an apocalyptic number.

113456385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113456385 is an abundant number, since it is smaller than the sum of its proper divisors (124527231).

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

113456385 is a wasteful number, since it uses less digits than its factorization.

113456385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21222 (or 21219 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 113456385 is about 10651.5907262718. The cubic root of 113456385 is about 484.1088037724.

The spelling of 113456385 in words is "one hundred thirteen million, four hundred fifty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 21187 63561 105935 148309 190683 317805 360179 444927 741545 953415 1080537 1334781 1800895 2224635 2521253 3241611 5402685 6673905 7563759 12606265 16208055 22691277 37818795 113456385