Base | Representation |
---|---|
bin | 1101100100101… |
… | …01110101100000 |
3 | 21221020200110200 |
4 | 12302111311200 |
5 | 213122004221 |
6 | 15144225200 |
7 | 2551536111 |
oct | 662256540 |
9 | 257220420 |
10 | 113859936 |
11 | 592a8723 |
12 | 3216b200 |
13 | 1a787258 |
14 | 1119c208 |
15 | 9ee1426 |
hex | 6c95d60 |
113859936 has 72 divisors (see below), whose sum is σ = 337886640. Its totient is φ = 36301056.
The previous prime is 113859929. The next prime is 113859937. The reversal of 113859936 is 639958311.
It is a tau number, because it is divible by the number of its divisors (72).
It is a junction number, because it is equal to n+sod(n) for n = 113859891 and 113859900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113859937) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1971 + ... + 15218.
It is an arithmetic number, because the mean of its divisors is an integer number (4692870).
Almost surely, 2113859936 is an apocalyptic number.
113859936 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 113859936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168943320).
113859936 is an abundant number, since it is smaller than the sum of its proper divisors (224026704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113859936 is a wasteful number, since it uses less digits than its factorization.
113859936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17228 (or 17217 counting only the distinct ones).
The product of its digits is 174960, while the sum is 45.
The square root of 113859936 is about 10670.5171383584. The cubic root of 113859936 is about 484.6820972639.
It can be divided in two parts, 11385 and 9936, that added together give a triangular number (21321 = T206).
The spelling of 113859936 in words is "one hundred thirteen million, eight hundred fifty-nine thousand, nine hundred thirty-six".
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