Base | Representation |
---|---|
bin | 11010000011100110100000 |
3 | 110212000200100 |
4 | 122003212200 |
5 | 3222033441 |
6 | 402222400 |
7 | 112025661 |
oct | 32034640 |
9 | 13760610 |
10 | 6830496 |
11 | 3945942 |
12 | 2354a00 |
13 | 155201a |
14 | c9b368 |
15 | 8edcb6 |
hex | 6839a0 |
6830496 has 72 divisors (see below), whose sum is σ = 19980324. Its totient is φ = 2211840.
The previous prime is 6830479. The next prime is 6830497. The reversal of 6830496 is 6940386.
It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 1354896 = 2340^2 + 1164^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 6830496.
It is not an unprimeable number, because it can be changed into a prime (6830497) 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, 10336 + ... + 10976.
Almost surely, 26830496 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 6830496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990162).
6830496 is an abundant number, since it is smaller than the sum of its proper divisors (13149828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6830496 is a wasteful number, since it uses less digits than its factorization.
6830496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 694 (or 683 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 6830496 is about 2613.5217619144. The cubic root of 6830496 is about 189.7364397398.
The spelling of 6830496 in words is "six million, eight hundred thirty thousand, four hundred ninety-six".
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