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113188432 = 2472592447
BaseRepresentation
bin1101011111100…
…01111001010000
321212222120100011
412233301321100
5212434012212
615122004304
72543041300
oct657617120
9255876304
10113188432
115898a165
1231aa6694
131a5b0706
1411065600
159e0c4a7
hex6bf1e50

113188432 has 60 divisors (see below), whose sum is σ = 259536960. Its totient is φ = 47667648.

The previous prime is 113188423. The next prime is 113188433. The reversal of 113188432 is 234881311.

It is a super-2 number, since 2×1131884322 = 25623242277237248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113188394 and 113188403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113188433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45033 + ... + 47479.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2113188432 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 113188432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129768480).

113188432 is an abundant number, since it is smaller than the sum of its proper divisors (146348528).

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

113188432 is a wasteful number, since it uses less digits than its factorization.

113188432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2515 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 113188432 is about 10639.0052166544. The cubic root of 113188432 is about 483.7273924183.

The spelling of 113188432 in words is "one hundred thirteen million, one hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2447 2891 3304 4894 5782 6608 9788 11564 17129 19576 23128 34258 39152 46256 68516 119903 137032 144373 239806 274064 288746 479612 577492 959224 1010611 1154984 1918448 2021222 2309968 4042444 7074277 8084888 14148554 16169776 28297108 56594216 113188432