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113040072 = 23321792353
BaseRepresentation
bin1101011110011…
…01101011001000
321212201000211100
412233031223020
5212414240242
615114501400
72541552615
oct657155310
9255630740
10113040072
1158898752
1231a34860
131a55b022
141102750c
159dcd54c
hex6bcdac8

113040072 has 48 divisors (see below), whose sum is σ = 324162540. Its totient is φ = 35463168.

The previous prime is 113040071. The next prime is 113040079. The reversal of 113040072 is 270040311.

It can be written as a sum of positive squares in 2 ways, for example, as 107868996 + 5171076 = 10386^2 + 2274^2 .

It is a super-3 number, since 3×1130400723 (a number of 25 digits) contains 333 as substring.

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 (113040071) 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, 44953 + ... + 47400.

Almost surely, 2113040072 is an apocalyptic number.

113040072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113040072 is an abundant number, since it is smaller than the sum of its proper divisors (211122468).

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

113040072 is a wasteful number, since it uses less digits than its factorization.

113040072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92382 (or 92375 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 113040072 is about 10632.0304739970. The cubic root of 113040072 is about 483.5159539264.

Adding to 113040072 its reverse (270040311), we get a palindrome (383080383).

The spelling of 113040072 in words is "one hundred thirteen million, forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 92353 184706 277059 369412 554118 738824 831177 1108236 1570001 1662354 2216472 3140002 3324708 4710003 6280004 6649416 9420006 12560008 14130009 18840012 28260018 37680024 56520036 113040072