Search a number
-
+
115379136 = 26321711783
BaseRepresentation
bin1101110000010…
…00101111000000
322001002212102100
412320020233000
5214014113021
615240550400
72600464215
oct670105700
9261085370
10115379136
115a146064
1232782400
131ab998a2
1411475b0c
15a1e1626
hex6e08bc0

115379136 has 84 divisors (see below), whose sum is σ = 350196912. Its totient is φ = 36194304.

The previous prime is 115379113. The next prime is 115379141. The reversal of 115379136 is 631973511.

115379136 is a `hidden beast` number, since 1 + 1 + 537 + 91 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115379136.

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, 3901 + ... + 15683.

Almost surely, 2115379136 is an apocalyptic number.

115379136 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 115379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175098456).

115379136 is an abundant number, since it is smaller than the sum of its proper divisors (234817776).

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

115379136 is a wasteful number, since it uses less digits than its factorization.

115379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11818 (or 11805 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 115379136 is about 10741.4680560899. The cubic root of 115379136 is about 486.8282376733.

The spelling of 115379136 in words is "one hundred fifteen million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 11783 23566 35349 47132 70698 94264 106047 141396 188528 200311 212094 282792 377056 400622 424188 565584 600933 754112 801244 848376 1131168 1201866 1602488 1696752 1802799 2262336 2403732 3204976 3393504 3605598 4807464 6409952 6787008 7211196 9614928 12819904 14422392 19229856 28844784 38459712 57689568 115379136