Base | Representation |
---|---|
bin | 11000100100110100000000 |
3 | 110010022002111 |
4 | 120210310000 |
5 | 3122122430 |
6 | 350025104 |
7 | 105521020 |
oct | 30446400 |
9 | 13108074 |
10 | 6442240 |
11 | 3700172 |
12 | 21a8194 |
13 | 144739c |
14 | bd9a80 |
15 | 873c2a |
hex | 624d00 |
6442240 has 72 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 2205696.
The previous prime is 6442237. The next prime is 6442259. The reversal of 6442240 is 422446.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8601 + ... + 9319.
It is an arithmetic number, because the mean of its divisors is an integer number (245280).
Almost surely, 26442240 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 6442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).
6442240 is an abundant number, since it is smaller than the sum of its proper divisors (11217920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6442240 is an equidigital number, since it uses as much as digits as its factorization.
6442240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 747 (or 733 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 6442240 is about 2538.1568115465. The cubic root of 6442240 is about 186.0711178308.
Adding to 6442240 its reverse (422446), we get a palindrome (6864686).
The spelling of 6442240 in words is "six million, four hundred forty-two thousand, two hundred forty".
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