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113999424 = 2637112701
BaseRepresentation
bin1101100101101…
…11111001000000
321221111202210220
412302313321000
5213140440144
615151223040
72552656560
oct662677100
9257452726
10113999424
1159393500
1232217a80
131a8058a6
14111d6da0
15a01c919
hex6cb7e40

113999424 has 168 divisors, whose sum is σ = 379439424. Its totient is φ = 29568000.

The previous prime is 113999419. The next prime is 113999437. The reversal of 113999424 is 424999311.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162274 + ... + 162974.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2113999424 is an apocalyptic number.

113999424 is a gapful number since it is divisible by the number (14) 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 113999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

113999424 is an abundant number, since it is smaller than the sum of its proper divisors (265440000).

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

113999424 is a wasteful number, since it uses less digits than its factorization.

113999424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 724 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 113999424 is about 10677.0512783259. The cubic root of 113999424 is about 484.8799419413.

The spelling of 113999424 in words is "one hundred thirteen million, nine hundred ninety-nine thousand, four hundred twenty-four".