Search a number
-
+
115726104 = 23331341213
BaseRepresentation
bin1101110010111…
…01011100011000
322001202111101000
412321131130120
5214111213404
615252225000
72603440614
oct671353430
9261674330
10115726104
115a36280a
123290b160
131ac8b7b0
1411526344
15a25e339
hex6e5d718

115726104 has 64 divisors (see below), whose sum is σ = 346197600. Its totient is φ = 35607168.

The previous prime is 115726099. The next prime is 115726109. The reversal of 115726104 is 401627511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115726099) and next prime (115726109).

It is a super-2 number, since 2×1157261042 = 26785062294037632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115726109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17799 + ... + 23414.

Almost surely, 2115726104 is an apocalyptic number.

It is an amenable number.

115726104 is an abundant number, since it is smaller than the sum of its proper divisors (230471496).

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

115726104 is a wasteful number, since it uses less digits than its factorization.

115726104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41241 (or 41231 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 115726104 is about 10757.6067970530. The cubic root of 115726104 is about 487.3157457531.

It can be divided in two parts, 1157 and 26104, that added together give a triangular number (27261 = T233).

The spelling of 115726104 in words is "one hundred fifteen million, seven hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 41213 82426 123639 164852 247278 329704 370917 494556 535769 741834 989112 1071538 1112751 1483668 1607307 2143076 2225502 2967336 3214614 4286152 4451004 4821921 6429228 8902008 9643842 12858456 14465763 19287684 28931526 38575368 57863052 115726104