Search a number
-
+
113741892 = 223211349823
BaseRepresentation
bin1101100011110…
…01000001000100
321221000200112200
412301321001010
5213104220032
615141514500
72550535005
oct661710104
9257020480
10113741892
1159227a70
1232112a30
131a7455c4
141116b1ac
159ebb47c
hex6c79044

113741892 has 72 divisors (see below), whose sum is σ = 314932800. Its totient is φ = 34326720.

The previous prime is 113741891. The next prime is 113741899. The reversal of 113741892 is 298147311.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113741891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137793 + ... + 138615.

Almost surely, 2113741892 is an apocalyptic number.

113741892 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 113741892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157466400).

113741892 is an abundant number, since it is smaller than the sum of its proper divisors (201190908).

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

113741892 is a wasteful number, since it uses less digits than its factorization.

113741892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1188 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 113741892 is about 10664.9843881742. The cubic root of 113741892 is about 484.5145417011.

The spelling of 113741892 in words is "one hundred thirteen million, seven hundred forty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 349 396 698 823 1047 1396 1646 2094 2469 3141 3292 3839 4188 4938 6282 7407 7678 9053 9876 11517 12564 14814 15356 18106 23034 27159 29628 34551 36212 46068 54318 69102 81477 108636 138204 162954 287227 325908 574454 861681 1148908 1723362 2585043 3159497 3446724 5170086 6318994 9478491 10340172 12637988 18956982 28435473 37913964 56870946 113741892