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113039232 = 273431683
BaseRepresentation
bin1101011110011…
…01011110000000
321212200222200020
412233031132000
5212414223412
615114453440
72541550305
oct657153600
9255628606
10113039232
1158898059
1231a34280
131a55a827
14110270ac
159dcd18c
hex6bcd780

113039232 has 64 divisors (see below), whose sum is σ = 301397760. Its totient is φ = 37537280.

The previous prime is 113039231. The next prime is 113039243. The reversal of 113039232 is 232930311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1130392323 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113039231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165163 + ... + 165845.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2113039232 is an apocalyptic number.

113039232 is a gapful number since it is divisible by the number (12) 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 113039232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150698880).

113039232 is an abundant number, since it is smaller than the sum of its proper divisors (188358528).

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

113039232 is an equidigital number, since it uses as much as digits as its factorization.

113039232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 113039232 is about 10631.9909706508. The cubic root of 113039232 is about 483.5147562555.

Adding to 113039232 its reverse (232930311), we get a palindrome (345969543).

The spelling of 113039232 in words is "one hundred thirteen million, thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 431 683 862 1293 1366 1724 2049 2586 2732 3448 4098 5172 5464 6896 8196 10344 10928 13792 16392 20688 21856 27584 32784 41376 43712 55168 65568 82752 87424 131136 165504 262272 294373 588746 883119 1177492 1766238 2354984 3532476 4709968 7064952 9419936 14129904 18839872 28259808 37679744 56519616 113039232