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116844192 = 2532405709
BaseRepresentation
bin1101111011011…
…10011010100000
322010212022002200
412331232122200
5214403003232
615332213200
72616105423
oct675563240
9263768080
10116844192
115aa56853
123316a200
131b29069a
14117379ba
15a3d077c
hex6f6e6a0

116844192 has 36 divisors (see below), whose sum is σ = 332276490. Its totient is φ = 38947968.

The previous prime is 116844157. The next prime is 116844193. The reversal of 116844192 is 291448611.

It can be written as a sum of positive squares in only one way, i.e., 113294736 + 3549456 = 10644^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116844193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202567 + ... + 203142.

Almost surely, 2116844192 is an apocalyptic number.

116844192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116844192 is an abundant number, since it is smaller than the sum of its proper divisors (215432298).

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

116844192 is a wasteful number, since it uses less digits than its factorization.

116844192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405725 (or 405714 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 116844192 is about 10809.4491996586. The cubic root of 116844192 is about 488.8801191570.

It can be divided in two parts, 11684 and 4192, that added together give a square (15876 = 1262).

The spelling of 116844192 in words is "one hundred sixteen million, eight hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 405709 811418 1217127 1622836 2434254 3245672 3651381 4868508 6491344 7302762 9737016 12982688 14605524 19474032 29211048 38948064 58422096 116844192