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113465088 = 283211337
BaseRepresentation
bin1101100001101…
…01011100000000
321220111121211200
412300311130000
5213021340323
615131541200
72545303002
oct660653400
9256447750
10113465088
1159059000
1231bba800
131a679609
14110d8372
159e64443
hex6c35700

113465088 has 216 divisors, whose sum is σ = 369563376. Its totient is φ = 33454080.

The previous prime is 113465087. The next prime is 113465111. The reversal of 113465088 is 880564311.

113465088 is a `hidden beast` number, since 113 + 465 + 0 + 88 = 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 (113465087) 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 23 ways as a sum of consecutive naturals, for example, 3066606 + ... + 3066642.

Almost surely, 2113465088 is an apocalyptic number.

113465088 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 113465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184781688).

113465088 is an abundant number, since it is smaller than the sum of its proper divisors (256098288).

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

113465088 is an equidigital number, since it uses as much as digits as its factorization.

113465088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 113465088 is about 10651.9992489673. Note that the first 3 decimals coincide. The cubic root of 113465088 is about 484.1211817777.

The spelling of 113465088 in words is "one hundred thirteen million, four hundred sixty-five thousand, eighty-eight".