Search a number
-
+
113325966 = 237131993
BaseRepresentation
bin1101100000100…
…11011110001110
321220020120000000
412300103132032
5213002412331
615124545130
72544153255
oct660233616
9256216000
10113325966
1158a73526
1231b521a6
131a62b1b0
141109d79c
159e380e6
hex6c1378e

113325966 has 64 divisors (see below), whose sum is σ = 274693440. Its totient is φ = 34852032.

The previous prime is 113325907. The next prime is 113326001. The reversal of 113325966 is 669523311.

It is a self number, because there is not a number n which added to its sum of digits gives 113325966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55866 + ... + 57858.

It is an arithmetic number, because the mean of its divisors is an integer number (4292085).

Almost surely, 2113325966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113325966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137346720).

113325966 is an abundant number, since it is smaller than the sum of its proper divisors (161367474).

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

113325966 is an equidigital number, since it uses as much as digits as its factorization.

113325966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2011 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 113325966 is about 10645.4669225920. The cubic root of 113325966 is about 483.9232370348.

The spelling of 113325966 in words is "one hundred thirteen million, three hundred twenty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 1993 2106 2187 3159 3986 4374 5979 6318 9477 11958 17937 18954 25909 28431 35874 51818 53811 56862 77727 107622 155454 161433 233181 322866 466362 484299 699543 968598 1399086 1452897 2098629 2905794 4197258 4358691 6295887 8717382 12591774 18887661 37775322 56662983 113325966