Search a number
-
+
115807744 = 2913127137
BaseRepresentation
bin1101110011100…
…01011000000000
322001220122100201
412321301120000
5214121321434
615254054544
72604230623
oct671613000
9261818321
10115807744
115a409088
123294a454
131acb99c0
1411547dba
15a278614
hex6e71600

115807744 has 80 divisors (see below), whose sum is σ = 252983808. Its totient is φ = 52641792.

The previous prime is 115807733. The next prime is 115807763. The reversal of 115807744 is 447708511.

It is a super-2 number, since 2×1158077442 = 26822867140739072, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 845244 + ... + 845380.

Almost surely, 2115807744 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 115807744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126491904).

115807744 is an abundant number, since it is smaller than the sum of its proper divisors (137176064).

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

115807744 is a wasteful number, since it uses less digits than its factorization.

115807744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 115807744 is about 10761.4006523315. The cubic root of 115807744 is about 487.4303125459.

The spelling of 115807744 in words is "one hundred fifteen million, eight hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 137 208 254 256 274 416 508 512 548 832 1016 1096 1651 1664 1781 2032 2192 3302 3328 3562 4064 4384 6604 6656 7124 8128 8768 13208 14248 16256 17399 17536 26416 28496 32512 34798 35072 52832 56992 65024 69596 70144 105664 113984 139192 211328 226187 227968 278384 422656 452374 455936 556768 845312 904748 911872 1113536 1809496 2227072 3618992 4454144 7237984 8908288 14475968 28951936 57903872 115807744