Search a number
-
+
113423544 = 233313311303
BaseRepresentation
bin1101100001010…
…11010010111000
321220102111212000
412300223102320
5213014023134
615131021000
72545040613
oct660532270
9256374760
10113423544
115902a873
1231b9a760
131a663730
14110c717a
159e56e99
hex6c2b4b8

113423544 has 128 divisors (see below), whose sum is σ = 350515200. Its totient is φ = 33747840.

The previous prime is 113423509. The next prime is 113423593. The reversal of 113423544 is 445324311.

It is a happy number.

113423544 is a `hidden beast` number, since 113 + 4 + 2 + 3 + 544 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86397 + ... + 87699.

It is an arithmetic number, because the mean of its divisors is an integer number (2738400).

Almost surely, 2113423544 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 113423544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175257600).

113423544 is an abundant number, since it is smaller than the sum of its proper divisors (237091656).

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

113423544 is a wasteful number, since it uses less digits than its factorization.

113423544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 113423544 is about 10650.0490139717. The cubic root of 113423544 is about 484.0620893413.

Adding to 113423544 its reverse (445324311), we get a palindrome (558747855).

The spelling of 113423544 in words is "one hundred thirteen million, four hundred twenty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 93 104 108 117 124 156 186 216 234 248 279 312 351 372 403 468 558 702 744 806 837 936 1116 1209 1303 1404 1612 1674 2232 2418 2606 2808 3224 3348 3627 3909 4836 5212 6696 7254 7818 9672 10424 10881 11727 14508 15636 16939 21762 23454 29016 31272 33878 35181 40393 43524 46908 50817 67756 70362 80786 87048 93816 101634 121179 135512 140724 152451 161572 203268 242358 281448 304902 323144 363537 406536 457353 484716 525109 609804 727074 914706 969432 1050218 1090611 1219608 1454148 1575327 1829412 2100436 2181222 2908296 3150654 3658824 4200872 4362444 4725981 6301308 8724888 9451962 12602616 14177943 18903924 28355886 37807848 56711772 113423544