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113319360 = 26325721173
BaseRepresentation
bin1101100000100…
…01110111000000
321220020012221100
412300101313000
5213002204420
615124454400
72544125100
oct660216700
9256205840
10113319360
1158a69570
1231b4a400
131a62819b
141109b200
159e36190
hex6c11dc0

113319360 has 504 divisors, whose sum is σ = 501402096. Its totient is φ = 23224320.

The previous prime is 113319347. The next prime is 113319373. The reversal of 113319360 is 63913311.

113319360 = T360 + T361 + ... + T898.

It is an interprime number because it is at equal distance from previous prime (113319347) and next prime (113319373).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1552284 + ... + 1552356.

Almost surely, 2113319360 is an apocalyptic number.

113319360 is a gapful number since it is divisible by the number (10) 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 113319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250701048).

113319360 is an abundant number, since it is smaller than the sum of its proper divisors (388082736).

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

113319360 is a wasteful number, since it uses less digits than its factorization.

113319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 113319360 is about 10645.1566451603. The cubic root of 113319360 is about 483.9138338970.

The spelling of 113319360 in words is "one hundred thirteen million, three hundred nineteen thousand, three hundred sixty".