Base | Representation |
---|---|
bin | 11110111100100000000000 |
3 | 120021010202012 |
4 | 132330200000 |
5 | 4034042003 |
6 | 445512052 |
7 | 125644343 |
oct | 36744000 |
9 | 16233665 |
10 | 8112128 |
11 | 4640842 |
12 | 2872628 |
13 | 18b049b |
14 | 111245a |
15 | aa38d8 |
hex | 7bc800 |
8112128 has 48 divisors (see below), whose sum is σ = 17248140. Its totient is φ = 3801088.
The previous prime is 8112119. The next prime is 8112133. The reversal of 8112128 is 8212118.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 1024 = 2848^2 + 32^2 .
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a plaindrome in base 14.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34700 + ... + 34932.
Almost surely, 28112128 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 8112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624070).
8112128 is an abundant number, since it is smaller than the sum of its proper divisors (9136012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8112128 is a wasteful number, since it uses less digits than its factorization.
8112128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 272 (or 252 counting only the distinct ones).
The product of its digits is 256, while the sum is 23.
The square root of 8112128 is about 2848.1797696072. The cubic root of 8112128 is about 200.9300681616.
The spelling of 8112128 in words is "eight million, one hundred twelve thousand, one hundred twenty-eight".
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