Base | Representation |
---|---|
bin | 110010110100… |
… | …101101110000 |
3 | 221001212212220 |
4 | 302310231300 |
5 | 11402314440 |
6 | 1153321040 |
7 | 221146626 |
oct | 62645560 |
9 | 27055786 |
10 | 13323120 |
11 | 757a948 |
12 | 4566180 |
13 | 29b6305 |
14 | 1aab516 |
15 | 12828d0 |
hex | cb4b70 |
13323120 has 80 divisors (see below), whose sum is σ = 42294912. Its totient is φ = 3467520.
The previous prime is 13323119. The next prime is 13323127. The reversal of 13323120 is 2132331.
13323120 is digitally balanced in base 2, because in such base 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 13323120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13323127) 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, 9675 + ... + 10965.
Almost surely, 213323120 is an apocalyptic number.
13323120 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 13323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147456).
13323120 is an abundant number, since it is smaller than the sum of its proper divisors (28971792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13323120 is a wasteful number, since it uses less digits than its factorization.
13323120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 13323120 is about 3650.0849305187. The cubic root of 13323120 is about 237.0656586050.
Adding to 13323120 its reverse (2132331), we get a palindrome (15455451).
The spelling of 13323120 in words is "thirteen million, three hundred twenty-three thousand, one hundred twenty".
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