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113358168 = 2332721123127
BaseRepresentation
bin1101100000110…
…11010101011000
321220022012011200
412300123111120
5213004430133
615125354200
72544346200
oct660332530
9256265150
10113358168
1158a95740
1231b68960
131a63ca51
14110ab400
159e42913
hex6c1b558

113358168 has 288 divisors, whose sum is σ = 409743360. Its totient is φ = 27941760.

The previous prime is 113358139. The next prime is 113358169. The reversal of 113358168 is 861853311.

113358168 is a `hidden beast` number, since 1 + 13 + 3 + 581 + 68 = 666.

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 (113358169) 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 71 ways as a sum of consecutive naturals, for example, 892521 + ... + 892647.

It is an arithmetic number, because the mean of its divisors is an integer number (1422720).

Almost surely, 2113358168 is an apocalyptic number.

113358168 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 113358168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204871680).

113358168 is an abundant number, since it is smaller than the sum of its proper divisors (296385192).

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

113358168 is a wasteful number, since it uses less digits than its factorization.

113358168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 113358168 is about 10646.9792899207. The cubic root of 113358168 is about 483.9690688974.

It can be divided in two parts, 113358 and 168, that added together give a triangular number (113526 = T476).

The spelling of 113358168 in words is "one hundred thirteen million, three hundred fifty-eight thousand, one hundred sixty-eight".