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113400232 = 23112313779
BaseRepresentation
bin1101100001001…
…01100110101000
321220101022212121
412300211212220
5213012301412
615130321024
72544612631
oct660454650
9256338777
10113400232
1159014300
1231b89174
131a655c3a
14110bc888
159e50107
hex6c259a8

113400232 has 48 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 49869600.

The previous prime is 113400223. The next prime is 113400233. The reversal of 113400232 is 232004311.

It is a happy number.

It is a super-2 number, since 2×1134002322 = 25719225235307648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113400233) 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, 28119 + ... + 31897.

It is an arithmetic number, because the mean of its divisors is an integer number (5027400).

Almost surely, 2113400232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

113400232 is an abundant number, since it is smaller than the sum of its proper divisors (127914968).

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

113400232 is a wasteful number, since it uses less digits than its factorization.

113400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 113400232 is about 10648.9545026730. The cubic root of 113400232 is about 484.0289238913.

Adding to 113400232 its reverse (232004311), we get a palindrome (345404543).

The spelling of 113400232 in words is "one hundred thirteen million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3751 3779 7502 7558 15004 15116 30008 30232 41569 83138 117149 166276 234298 332552 457259 468596 914518 937192 1288639 1829036 2577278 3658072 5154556 10309112 14175029 28350058 56700116 113400232