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113924004 = 22317797069
BaseRepresentation
bin1101100101001…
…01011110100100
321221100221100120
412302211132210
5213131032004
615145441540
72552223645
oct662453644
9257327316
10113924004
1159341877
12321a02b0
131a7aa46c
14111b76cc
15a0053d9
hex6ca57a4

113924004 has 48 divisors (see below), whose sum is σ = 285062400. Its totient is φ = 35283456.

The previous prime is 113923993. The next prime is 113924009. The reversal of 113924004 is 400429311.

It is not an unprimeable number, because it can be changed into a prime (113924009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12582 + ... + 19650.

It is an arithmetic number, because the mean of its divisors is an integer number (5938800).

Almost surely, 2113924004 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 113924004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142531200).

113924004 is an abundant number, since it is smaller than the sum of its proper divisors (171138396).

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

113924004 is a wasteful number, since it uses less digits than its factorization.

113924004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 113924004 is about 10673.5188199581. The cubic root of 113924004 is about 484.7729890243.

The spelling of 113924004 in words is "one hundred thirteen million, nine hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 7069 8058 14138 16116 21207 28276 42414 84828 120173 240346 360519 480692 558451 721038 1116902 1442076 1675353 2233804 3350706 6701412 9493667 18987334 28481001 37974668 56962002 113924004