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113789268 = 22324177093
BaseRepresentation
bin1101100100001…
…00100101010100
321221010002112100
412302010211110
5213112224033
615142522100
72551123065
oct662044524
9257102470
10113789268
115925a61a
1232136330
131a761038
141118056c
159eca513
hex6c84954

113789268 has 36 divisors (see below), whose sum is σ = 294653268. Its totient is φ = 37004160.

The previous prime is 113789231. The next prime is 113789287. The reversal of 113789268 is 862987311.

113789268 is a `hidden beast` number, since 11 + 378 + 9 + 268 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 100040004 = 3708^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37071 + ... + 40022.

It is an arithmetic number, because the mean of its divisors is an integer number (8184813).

Almost surely, 2113789268 is an apocalyptic number.

113789268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113789268 is an abundant number, since it is smaller than the sum of its proper divisors (180864000).

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

113789268 is a wasteful number, since it uses less digits than its factorization.

113789268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77144 (or 77139 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 113789268 is about 10667.2052572358. The cubic root of 113789268 is about 484.5818026849.

The spelling of 113789268 in words is "one hundred thirteen million, seven hundred eighty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 77093 154186 231279 308372 462558 693837 925116 1387674 2775348 3160813 6321626 9482439 12643252 18964878 28447317 37929756 56894634 113789268