Search a number
-
+
113140032 = 2631722039
BaseRepresentation
bin1101011111001…
…10000101000000
321212220002221120
412233212011000
5212430440112
615120552240
72542450215
oct657460500
9255802846
10113140032
1158956865
1231a82680
131a594685
1411051b0c
159dece8c
hex6be6140

113140032 has 84 divisors (see below), whose sum is σ = 318150240. Its totient is φ = 35477504.

The previous prime is 113140031. The next prime is 113140037. The reversal of 113140032 is 230041311.

It is a super-2 number, since 2×1131400322 = 25601333681922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113139993 and 113140020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113140031) 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, 54469 + ... + 56507.

Almost surely, 2113140032 is an apocalyptic number.

113140032 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 113140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159075120).

113140032 is an abundant number, since it is smaller than the sum of its proper divisors (205010208).

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

113140032 is a wasteful number, since it uses less digits than its factorization.

113140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113140032 is about 10636.7303246815. The cubic root of 113140032 is about 483.6584344183.

Adding to 113140032 its reverse (230041311), we get a palindrome (343181343).

The spelling of 113140032 in words is "one hundred thirteen million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 289 408 544 578 816 867 1088 1156 1632 1734 2039 2312 3264 3468 4078 4624 6117 6936 8156 9248 12234 13872 16312 18496 24468 27744 32624 34663 48936 55488 65248 69326 97872 103989 130496 138652 195744 207978 277304 391488 415956 554608 589271 831912 1109216 1178542 1663824 1767813 2218432 2357084 3327648 3535626 4714168 6655296 7071252 9428336 14142504 18856672 28285008 37713344 56570016 113140032