Base | Representation |
---|---|
bin | 110001100001111… |
… | …111111010000000 |
3 | 2010220122222100012 |
4 | 301201333322000 |
5 | 3200213333341 |
6 | 214243044052 |
7 | 26410231100 |
oct | 6141777200 |
9 | 2126588305 |
10 | 830996096 |
11 | 397091737 |
12 | 1b2370628 |
13 | 103216388 |
14 | 7c517200 |
15 | 4ce4b0eb |
hex | 3187fe80 |
830996096 has 96 divisors (see below), whose sum is σ = 1967457600. Its totient is φ = 348440064.
The previous prime is 830996093. The next prime is 830996119. The reversal of 830996096 is 690699038.
830996096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (830996093) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293375 + ... + 296193.
It is an arithmetic number, because the mean of its divisors is an integer number (20494350).
Almost surely, 2830996096 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 830996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983728800).
830996096 is an abundant number, since it is smaller than the sum of its proper divisors (1136461504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
830996096 is a wasteful number, since it uses less digits than its factorization.
830996096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2894 (or 2875 counting only the distinct ones).
The product of its (nonzero) digits is 629856, while the sum is 50.
The square root of 830996096 is about 28827.0028965899. The cubic root of 830996096 is about 940.1554352892.
The spelling of 830996096 in words is "eight hundred thirty million, nine hundred ninety-six thousand, ninety-six".
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