Base | Representation |
---|---|
bin | 11001100000000000000000 |
3 | 110120121122110 |
4 | 121200000000 |
5 | 3202402142 |
6 | 355135320 |
7 | 110550561 |
oct | 31400000 |
9 | 13517573 |
10 | 6684672 |
11 | 3856325 |
12 | 22a4540 |
13 | 1500837 |
14 | c60168 |
15 | 8c099c |
hex | 660000 |
6684672 has 72 divisors (see below), whose sum is σ = 18874296. Its totient is φ = 2097152.
The previous prime is 6684659. The next prime is 6684673. The reversal of 6684672 is 2764866.
Its product of digits (96768) is a multiple of the sum of its prime factors (54).
It is a nialpdrome in base 16.
It is a zygodrome in base 2 and base 16.
It is a self number, because there is not a number n which added to its sum of digits gives 6684672.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6684673) by changing a digit.
In principle, a polygon with 6684672 sides can be constructed with ruler and compass.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393208 + ... + 393224.
It is an arithmetic number, because the mean of its divisors is an integer number (262143).
Almost surely, 26684672 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 6684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9437148).
6684672 is an abundant number, since it is smaller than the sum of its proper divisors (12189624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6684672 is an frugal number, since it uses more digits than its factorization.
6684672 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 54 (or 22 counting only the distinct ones).
The product of its digits is 96768, while the sum is 39.
The square root of 6684672 is about 2585.4732642207. The cubic root of 6684672 is about 188.3764901403.
The spelling of 6684672 in words is "six million, six hundred eighty-four thousand, six hundred seventy-two".
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