Base | Representation |
---|---|
bin | 100011110100… |
… | …011110010000 |
3 | 122200001121121 |
4 | 203310132100 |
5 | 4400434333 |
6 | 533132024 |
7 | 142546000 |
oct | 43643620 |
9 | 18601547 |
10 | 9389968 |
11 | 5333905 |
12 | 318a014 |
13 | 1c39cc3 |
14 | 1366000 |
15 | c5732d |
hex | 8f4790 |
9389968 has 80 divisors (see below), whose sum is σ = 22320000. Its totient is φ = 3819648.
The previous prime is 9389951. The next prime is 9389977. The reversal of 9389968 is 8699839.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159123 + ... + 159181.
It is an arithmetic number, because the mean of its divisors is an integer number (279000).
Almost surely, 29389968 is an apocalyptic number.
9389968 is a gapful number since it is divisible by the number (98) 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 9389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160000).
9389968 is an abundant number, since it is smaller than the sum of its proper divisors (12930032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9389968 is a wasteful number, since it uses less digits than its factorization.
9389968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117 (or 97 counting only the distinct ones).
The product of its digits is 839808, while the sum is 52.
The square root of 9389968 is about 3064.3054678018. The cubic root of 9389968 is about 210.9703244355.
The spelling of 9389968 in words is "nine million, three hundred eighty-nine thousand, nine hundred sixty-eight".
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