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115318404 = 2234418681
BaseRepresentation
bin1101101111110…
…01111010000100
322000222210010000
412313321322010
5214010142104
615235401300
72600122155
oct667717204
9260883100
10115318404
115a104473
1232753230
131ab78056
141145b92c
15a1cd639
hex6df9e84

115318404 has 60 divisors (see below), whose sum is σ = 308853468. Its totient is φ = 37497600.

The previous prime is 115318349. The next prime is 115318409. The reversal of 115318404 is 404813511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45562500 + 69755904 = 6750^2 + 8352^2 .

It is a super-2 number, since 2×1153184042 = 26596668602214432, which contains 22 as substring.

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 (115318409) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8944 + ... + 17624.

Almost surely, 2115318404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115318404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154426734).

115318404 is an abundant number, since it is smaller than the sum of its proper divisors (193535064).

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

115318404 is a wasteful number, since it uses less digits than its factorization.

115318404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115318404 is about 10738.6406961030. The cubic root of 115318404 is about 486.7428055850.

The spelling of 115318404 in words is "one hundred fifteen million, three hundred eighteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 8681 13284 17362 26043 34724 52086 78129 104172 156258 234387 312516 355921 468774 703161 711842 937548 1067763 1406322 1423684 2135526 2812644 3203289 4271052 6406578 9609867 12813156 19219734 28829601 38439468 57659202 115318404