Base | Representation |
---|---|
bin | 110010110110… |
… | …011110010000 |
3 | 221002020202120 |
4 | 302312132100 |
5 | 11403032240 |
6 | 1153414240 |
7 | 221206623 |
oct | 62663620 |
9 | 27066676 |
10 | 13330320 |
11 | 75852a3 |
12 | 456a380 |
13 | 29b9683 |
14 | 1aaddba |
15 | 1284ad0 |
hex | cb6790 |
13330320 has 80 divisors (see below), whose sum is σ = 41991360. Its totient is φ = 3497472.
The previous prime is 13330307. The next prime is 13330349. The reversal of 13330320 is 2303331.
13330320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 13330320.
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, 15666 + ... + 16494.
It is an arithmetic number, because the mean of its divisors is an integer number (524892).
Almost surely, 213330320 is an apocalyptic number.
13330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995680).
13330320 is an abundant number, since it is smaller than the sum of its proper divisors (28661040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13330320 is a wasteful number, since it uses less digits than its factorization.
13330320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 912 (or 906 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 15.
The square root of 13330320 is about 3651.0710757256. The cubic root of 13330320 is about 237.1083554449.
Adding to 13330320 its reverse (2303331), we get a palindrome (15633651).
The spelling of 13330320 in words is "thirteen million, three hundred thirty thousand, three hundred twenty".
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