Base | Representation |
---|---|
bin | 11010000110101001100000 |
3 | 110212122210120 |
4 | 122012221200 |
5 | 3222433401 |
6 | 402400240 |
7 | 112110240 |
oct | 32065140 |
9 | 13778716 |
10 | 6842976 |
11 | 3954258 |
12 | 2360080 |
13 | 15578ca |
14 | ca1b20 |
15 | 902836 |
hex | 686a60 |
6842976 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 1837056.
The previous prime is 6842963. The next prime is 6842981. The reversal of 6842976 is 6792486.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11125 + ... + 11723.
It is an arithmetic number, because the mean of its divisors is an integer number (226800).
Almost surely, 26842976 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 6842976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).
6842976 is an abundant number, since it is smaller than the sum of its proper divisors (14929824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6842976 is a wasteful number, since it uses less digits than its factorization.
6842976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 636 (or 628 counting only the distinct ones).
The product of its digits is 145152, while the sum is 42.
The square root of 6842976 is about 2615.9082552720. The cubic root of 6842976 is about 189.8519252572.
The spelling of 6842976 in words is "six million, eight hundred forty-two thousand, nine hundred seventy-six".
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