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113266296 = 2333111319193
BaseRepresentation
bin1101100000001…
…00111001111000
321220010112011000
412300010321320
5212444010141
615123405000
72543514303
oct660047170
9256115130
10113266296
1158a32710
1231b23760
131a609ca0
1411085b3a
159e255b6
hex6c04e78

113266296 has 256 divisors, whose sum is σ = 391104000. Its totient is φ = 29859840.

The previous prime is 113266273. The next prime is 113266303. The reversal of 113266296 is 692662311.

It is a happy number.

113266296 is a `hidden beast` number, since 1 + 1 + 3 + 26 + 629 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113266296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586776 + ... + 586968.

It is an arithmetic number, because the mean of its divisors is an integer number (1527750).

Almost surely, 2113266296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113266296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195552000).

113266296 is an abundant number, since it is smaller than the sum of its proper divisors (277837704).

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

113266296 is a wasteful number, since it uses less digits than its factorization.

113266296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 113266296 is about 10642.6639522255. The cubic root of 113266296 is about 483.8382880742.

113266296 divided by its sum of digits (36) gives a triangular number (3146286 = T2508).

The spelling of 113266296 in words is "one hundred thirteen million, two hundred sixty-six thousand, two hundred ninety-six".