Base | Representation |
---|---|
bin | 100110001000… |
… | …100000110000 |
3 | 200210212101200 |
4 | 212020200300 |
5 | 10024340321 |
6 | 554131200 |
7 | 150652560 |
oct | 46104060 |
9 | 20725350 |
10 | 9996336 |
11 | 5708439 |
12 | 3420b00 |
13 | 20bccbc |
14 | 1482da0 |
15 | d26d26 |
hex | 988830 |
9996336 has 120 divisors (see below), whose sum is σ = 32807424. Its totient is φ = 2782080.
The previous prime is 9996313. The next prime is 9996359. The reversal of 9996336 is 6336999.
9996336 is a `hidden beast` number, since 9 + 9 + 9 + 633 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (9996313) and next prime (9996359).
It is a nude number because it is divisible by every one of its digits.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 9996291 and 9996300.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 47271 + ... + 47481.
Almost surely, 29996336 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 9996336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16403712).
9996336 is an abundant number, since it is smaller than the sum of its proper divisors (22811088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9996336 is a wasteful number, since it uses less digits than its factorization.
9996336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 270 counting only the distinct ones).
The product of its digits is 236196, while the sum is 45.
The square root of 9996336 is about 3161.6982778248. The cubic root of 9996336 is about 215.4171529598.
It can be divided in two parts, 99963 and 36, that added together give a palindrome (99999).
The spelling of 9996336 in words is "nine million, nine hundred ninety-six thousand, three hundred thirty-six".
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