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113430672 = 24331391889
BaseRepresentation
bin1101100001011…
…01000010010000
321220102212122000
412300231002100
5213014240142
615131114000
72545100445
oct660550220
9256385560
10113430672
1159035163
1231ba2900
131a666a54
14110c99cc
159e5914c
hex6c2d090

113430672 has 80 divisors (see below), whose sum is σ = 328104000. Its totient is φ = 37518336.

The previous prime is 113430619. The next prime is 113430679. The reversal of 113430672 is 276034311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113430679) 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, 59104 + ... + 60992.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2113430672 is an apocalyptic number.

113430672 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 113430672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052000).

113430672 is an abundant number, since it is smaller than the sum of its proper divisors (214673328).

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

113430672 is a wasteful number, since it uses less digits than its factorization.

113430672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 113430672 is about 10650.3836550614. The cubic root of 113430672 is about 484.0722292769.

Adding to 113430672 its reverse (276034311), we get a palindrome (389464983).

The spelling of 113430672 in words is "one hundred thirteen million, four hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 556 834 1112 1251 1668 1889 2224 2502 3336 3753 3778 5004 5667 6672 7506 7556 10008 11334 15012 15112 17001 20016 22668 30024 30224 34002 45336 51003 60048 68004 90672 102006 136008 204012 262571 272016 408024 525142 787713 816048 1050284 1575426 2100568 2363139 3150852 4201136 4726278 6301704 7089417 9452556 12603408 14178834 18905112 28357668 37810224 56715336 113430672