Base | Representation |
---|---|
bin | 100101101100… |
… | …111010100000 |
3 | 200121010100000 |
4 | 211230322200 |
5 | 10012231141 |
6 | 551500000 |
7 | 150002163 |
oct | 45547240 |
9 | 20533300 |
10 | 9883296 |
11 | 5640515 |
12 | 3387600 |
13 | 2080707 |
14 | 1453ada |
15 | d035b6 |
hex | 96cea0 |
9883296 has 144 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3110400.
The previous prime is 9883283. The next prime is 9883303. The reversal of 9883296 is 6923889.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
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 23 ways as a sum of consecutive naturals, for example, 241036 + ... + 241076.
It is an arithmetic number, because the mean of its divisors is an integer number (214032).
Almost surely, 29883296 is an apocalyptic number.
9883296 is a gapful number since it is divisible by the number (96) 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 9883296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).
9883296 is an abundant number, since it is smaller than the sum of its proper divisors (20937312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9883296 is a wasteful number, since it uses less digits than its factorization.
9883296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 97 (or 77 counting only the distinct ones).
The product of its digits is 186624, while the sum is 45.
The square root of 9883296 is about 3143.7709840254. The cubic root of 9883296 is about 214.6020835429.
The spelling of 9883296 in words is "nine million, eight hundred eighty-three thousand, two hundred ninety-six".
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