Base | Representation |
---|---|
bin | 100110001000… |
… | …011110100000 |
3 | 200210212012100 |
4 | 212020132200 |
5 | 10024334232 |
6 | 554130400 |
7 | 150652263 |
oct | 46103640 |
9 | 20725170 |
10 | 9996192 |
11 | 5708318 |
12 | 3420a00 |
13 | 20bcc0b |
14 | 1482cda |
15 | d26c7c |
hex | 9887a0 |
9996192 has 72 divisors (see below), whose sum is σ = 28943460. Its totient is φ = 3271680.
The previous prime is 9996157. The next prime is 9996209. The reversal of 9996192 is 2916999.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 7817616 + 2178576 = 2796^2 + 1476^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17284 + ... + 17852.
Almost surely, 29996192 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 9996192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471730).
9996192 is an abundant number, since it is smaller than the sum of its proper divisors (18947268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9996192 is a wasteful number, since it uses less digits than its factorization.
9996192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646 (or 635 counting only the distinct ones).
The product of its digits is 78732, while the sum is 45.
The square root of 9996192 is about 3161.6755051713. The cubic root of 9996192 is about 215.4161185735.
The spelling of 9996192 in words is "nine million, nine hundred ninety-six thousand, one hundred ninety-two".
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