Base | Representation |
---|---|
bin | 11001111110100111000000 |
3 | 110210222122000 |
4 | 121332213000 |
5 | 3220410143 |
6 | 401544000 |
7 | 111612240 |
oct | 31764700 |
9 | 13728560 |
10 | 6810048 |
11 | 3931543 |
12 | 2345000 |
13 | 154591b |
14 | c93b20 |
15 | 8e7bd3 |
hex | 67e9c0 |
6810048 has 112 divisors (see below), whose sum is σ = 22920960. Its totient is φ = 1942272.
The previous prime is 6810043. The next prime is 6810053. The reversal of 6810048 is 8400186.
6810048 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (6810043) and next prime (6810053).
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6810043) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11815 + ... + 12377.
Almost surely, 26810048 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 6810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460480).
6810048 is an abundant number, since it is smaller than the sum of its proper divisors (16110912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6810048 is a wasteful number, since it uses less digits than its factorization.
6810048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 591 (or 575 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 6810048 is about 2609.6068669438. The cubic root of 6810048 is about 189.5469167209.
The spelling of 6810048 in words is "six million, eight hundred ten thousand, forty-eight".
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