Base | Representation |
---|---|
bin | 11001010101011000000 |
3 | 1120011202002 |
4 | 3022223000 |
5 | 203031034 |
6 | 25443132 |
7 | 10025150 |
oct | 3125300 |
9 | 1504662 |
10 | 830144 |
11 | 517777 |
12 | 3404a8 |
13 | 230b13 |
14 | 178760 |
15 | 115e7e |
hex | caac0 |
830144 has 56 divisors (see below), whose sum is σ = 2011680. Its totient is φ = 331776.
The previous prime is 830143. The next prime is 830153. The reversal of 830144 is 441038.
It is a tau number, because it is divible by the number of its divisors (56).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 830144.
It is not an unprimeable number, because it can be changed into a prime (830143) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7562 + ... + 7670.
2830144 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 830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005840).
830144 is an abundant number, since it is smaller than the sum of its proper divisors (1181536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
830144 is a wasteful number, since it uses less digits than its factorization.
830144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 145 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 830144 is about 911.1223847541. The cubic root of 830144 is about 93.9833983054.
The spelling of 830144 in words is "eight hundred thirty thousand, one hundred forty-four".
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