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113022432 = 2533257509
BaseRepresentation
bin1101011110010…
…01010111100000
321212200010122000
412233021113200
5212413204212
615114244000
72541450315
oct657112740
9255603560
10113022432
1158886476
1231a26600
131a552ca3
1411020d0c
159dc81dc
hex6bc95e0

113022432 has 96 divisors (see below), whose sum is σ = 331581600. Its totient is φ = 37453824.

The previous prime is 113022419. The next prime is 113022433. The reversal of 113022432 is 234220311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022433) 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, 221794 + ... + 222302.

It is an arithmetic number, because the mean of its divisors is an integer number (3453975).

Almost surely, 2113022432 is an apocalyptic number.

113022432 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 113022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165790800).

113022432 is an abundant number, since it is smaller than the sum of its proper divisors (218559168).

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

113022432 is a wasteful number, since it uses less digits than its factorization.

113022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113022432 is about 10631.2008729024. The cubic root of 113022432 is about 483.4908015918.

Adding to 113022432 its reverse (234220311), we get a palindrome (347242743).

It can be divided in two parts, 1130224 and 32, that added together give a triangular number (1130256 = T1503).

The spelling of 113022432 in words is "one hundred thirteen million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 257 288 432 509 514 771 864 1018 1028 1527 1542 2036 2056 2313 3054 3084 4072 4112 4581 4626 6108 6168 6939 8144 8224 9162 9252 12216 12336 13743 13878 16288 18324 18504 24432 24672 27486 27756 36648 37008 48864 54972 55512 73296 74016 109944 111024 130813 146592 219888 222048 261626 392439 439776 523252 784878 1046504 1177317 1569756 2093008 2354634 3139512 3531951 4186016 4709268 6279024 7063902 9418536 12558048 14127804 18837072 28255608 37674144 56511216 113022432