Base | Representation |
---|---|
bin | 1101111011011… |
… | …00011100100000 |
3 | 22010211220001000 |
4 | 12331230130200 |
5 | 214402224003 |
6 | 15332112000 |
7 | 2616043053 |
oct | 675543440 |
9 | 263756030 |
10 | 116836128 |
11 | 5aa50792 |
12 | 33165600 |
13 | 1b289b06 |
14 | 11734a9a |
15 | a3cd1a3 |
hex | 6f6c720 |
116836128 has 96 divisors (see below), whose sum is σ = 352598400. Its totient is φ = 37594368.
The previous prime is 116836091. The next prime is 116836129. The reversal of 116836128 is 821638611.
It is a tau number, because it is divible by the number of its divisors (96).
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 a junction number, because it is equal to n+sod(n) for n = 116836092 and 116836101.
It is not an unprimeable number, because it can be changed into a prime (116836129) 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, 22725 + ... + 27387.
It is an arithmetic number, because the mean of its divisors is an integer number (3672900).
Almost surely, 2116836128 is an apocalyptic number.
116836128 is a gapful number since it is divisible by the number (18) 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 116836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176299200).
116836128 is an abundant number, since it is smaller than the sum of its proper divisors (235762272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
116836128 is a wasteful number, since it uses less digits than its factorization.
116836128 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4711 (or 4697 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 116836128 is about 10809.0761862427. The cubic root of 116836128 is about 488.8688722138.
It can be divided in two parts, 116836 and 128, that added together give a square (116964 = 3422).
The spelling of 116836128 in words is "one hundred sixteen million, eight hundred thirty-six thousand, one hundred twenty-eight".
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