Base | Representation |
---|---|
bin | 100010110001… |
… | …101000000000 |
3 | 122011011000120 |
4 | 202301220000 |
5 | 4313204120 |
6 | 523220240 |
7 | 140325504 |
oct | 42615000 |
9 | 18134016 |
10 | 9116160 |
11 | 5167119 |
12 | 3077680 |
13 | 1b724a1 |
14 | 12d4304 |
15 | c01140 |
hex | 8b1a00 |
9116160 has 80 divisors (see below), whose sum is σ = 29167776. Its totient is φ = 2428928.
The previous prime is 9116147. The next prime is 9116161. The reversal of 9116160 is 616119.
9116160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 9116160.
It is not an unprimeable number, because it can be changed into a prime (9116161) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7087 + ... + 8273.
Almost surely, 29116160 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 9116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888).
9116160 is an abundant number, since it is smaller than the sum of its proper divisors (20051616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9116160 is a wasteful number, since it uses less digits than its factorization.
9116160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1213 (or 1197 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 24.
The square root of 9116160 is about 3019.2979316391. The cubic root of 9116160 is about 208.8994579096.
The spelling of 9116160 in words is "nine million, one hundred sixteen thousand, one hundred sixty".
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