Search a number
-
+
113936922 = 23311832311
BaseRepresentation
bin1101100101010…
…00101000011010
321221101121002000
412302220220122
5213131440142
615150021430
72552306421
oct662505032
9257347060
10113936922
1159350550
12321a7876
131a7b32c8
14111bc2b8
15a00914c
hex6ca8a1a

113936922 has 64 divisors (see below), whose sum is σ = 279659520. Its totient is φ = 34095600.

The previous prime is 113936897. The next prime is 113936929. The reversal of 113936922 is 229639311.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113936929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48147 + ... + 50457.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2113936922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113936922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139829760).

113936922 is an abundant number, since it is smaller than the sum of its proper divisors (165722598).

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

113936922 is a wasteful number, since it uses less digits than its factorization.

113936922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2410 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 113936922 is about 10674.1239453175. The cubic root of 113936922 is about 484.7913113579.

The spelling of 113936922 in words is "one hundred thirteen million, nine hundred thirty-six thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 166 198 249 297 498 594 747 913 1494 1826 2241 2311 2739 4482 4622 5478 6933 8217 13866 16434 20799 24651 25421 41598 49302 50842 62397 76263 124794 152526 191813 228789 383626 457578 575439 686367 1150878 1372734 1726317 2109943 3452634 4219886 5178951 6329829 10357902 12659658 18989487 37978974 56968461 113936922