Base | Representation |
---|---|
bin | 11110001111011000000 |
3 | 1212100021110 |
4 | 3301323000 |
5 | 223202122 |
6 | 33123320 |
7 | 11264646 |
oct | 3617300 |
9 | 1770243 |
10 | 990912 |
11 | 61753a |
12 | 3b9540 |
13 | 289050 |
14 | 1bb196 |
15 | 14890c |
hex | f1ec0 |
990912 has 56 divisors (see below), whose sum is σ = 2830576. Its totient is φ = 304128.
The previous prime is 990893. The next prime is 990917. The reversal of 990912 is 219099.
990912 = T143 + T144 + ... + T206.
990912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 990912.
It is not an unprimeable number, because it can be changed into a prime (990917) by changing a digit.
990912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2298 + ... + 2694.
It is an arithmetic number, because the mean of its divisors is an integer number (50546).
2990912 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 990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415288).
990912 is an abundant number, since it is smaller than the sum of its proper divisors (1839664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
990912 is a wasteful number, since it uses less digits than its factorization.
990912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 425 (or 415 counting only the distinct ones).
The product of its (nonzero) digits is 1458, while the sum is 30.
The square root of 990912 is about 995.4456288517. The cubic root of 990912 is about 99.6961443191.
The spelling of 990912 in words is "nine hundred ninety thousand, nine hundred twelve".
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