Search a number
-
+
113323752 = 23331953521
BaseRepresentation
bin1101100000100…
…10111011101000
321220020102222000
412300102323220
5213002330002
615124531000
72544143643
oct660227350
9256212860
10113323752
1158a718a3
1231b50a60
131a62a199
141109ca5a
159e3761c
hex6c12ee8

113323752 has 128 divisors (see below), whose sum is σ = 338256000. Its totient is φ = 35043840.

The previous prime is 113323729. The next prime is 113323753. The reversal of 113323752 is 257323311.

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 (113323753) by changing a digit.

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, 217252 + ... + 217772.

It is an arithmetic number, because the mean of its divisors is an integer number (2642625).

Almost surely, 2113323752 is an apocalyptic number.

113323752 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 113323752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169128000).

113323752 is an abundant number, since it is smaller than the sum of its proper divisors (224932248).

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

113323752 is a wasteful number, since it uses less digits than its factorization.

113323752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 113323752 is about 10645.3629341606. The cubic root of 113323752 is about 483.9200856152.

The spelling of 113323752 in words is "one hundred thirteen million, three hundred twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 106 108 114 152 159 171 212 216 228 318 342 424 456 477 513 521 636 684 954 1007 1026 1042 1272 1368 1431 1563 1908 2014 2052 2084 2862 3021 3126 3816 4028 4104 4168 4689 5724 6042 6252 8056 9063 9378 9899 11448 12084 12504 14067 18126 18756 19798 24168 27189 27613 28134 29697 36252 37512 39596 54378 55226 56268 59394 72504 79192 82839 89091 108756 110452 112536 118788 165678 178182 217512 220904 237576 248517 267273 331356 356364 497034 524647 534546 662712 712728 745551 994068 1049294 1069092 1491102 1573941 1988136 2098588 2138184 2982204 3147882 4197176 4721823 5964408 6295764 9443646 12591528 14165469 18887292 28330938 37774584 56661876 113323752