Search a number
-
+
115363136 = 2671913553
BaseRepresentation
bin1101110000001…
…00110101000000
322001002001110202
412320010311000
5214013110021
615240344332
72600366450
oct670046500
9261061422
10115363136
115a135039
12327750a8
131ab92515
141146dd60
15a1dba0b
hex6e04d40

115363136 has 56 divisors (see below), whose sum is σ = 275417280. Its totient is φ = 46835712.

The previous prime is 115363133. The next prime is 115363153. The reversal of 115363136 is 631363511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 115363099 and 115363108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115363133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736 + ... + 15288.

Almost surely, 2115363136 is an apocalyptic number.

115363136 is a gapful number since it is divisible by the number (16) 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 115363136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137708640).

115363136 is an abundant number, since it is smaller than the sum of its proper divisors (160054144).

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

115363136 is a wasteful number, since it uses less digits than its factorization.

115363136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13591 (or 13581 counting only the distinct ones).

The product of its digits is 4860, while the sum is 29.

The square root of 115363136 is about 10740.7232531148. The cubic root of 115363136 is about 486.8057332814.

The spelling of 115363136 in words is "one hundred fifteen million, three hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 13553 27106 54212 94871 108424 189742 216848 257507 379484 433696 515014 758968 867392 1030028 1517936 1802549 2060056 3035872 3605098 4120112 6071744 7210196 8240224 14420392 16480448 28840784 57681568 115363136