Base | Representation |
---|---|
bin | 11010110001111100100000 |
3 | 111012200001212 |
4 | 122301330200 |
5 | 3244122240 |
6 | 410245252 |
7 | 113446256 |
oct | 32617440 |
9 | 14180055 |
10 | 7020320 |
11 | 3a6551a |
12 | 2426828 |
13 | 15ba548 |
14 | d0a5d6 |
15 | 93a165 |
hex | 6b1f20 |
7020320 has 96 divisors (see below), whose sum is σ = 18370800. Its totient is φ = 2523136.
The previous prime is 7020319. The next prime is 7020323. The reversal of 7020320 is 230207.
7020320 = T28 + T29 + ... + T347.
It can be written as a sum of positive squares in 8 ways, for example, as 2972176 + 4048144 = 1724^2 + 2012^2 .
It is a junction number, because it is equal to n+sod(n) for n = 7020295 and 7020304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (7020323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78836 + ... + 78924.
Almost surely, 27020320 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 7020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9185400).
7020320 is an abundant number, since it is smaller than the sum of its proper divisors (11350480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7020320 is a wasteful number, since it uses less digits than its factorization.
7020320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 14.
The square root of 7020320 is about 2649.5886473187. The cubic root of 7020320 is about 191.4780383253.
Adding to 7020320 its reverse (230207), we get a palindrome (7250527).
The spelling of 7020320 in words is "seven million, twenty thousand, three hundred twenty".
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