Base | Representation |
---|---|
bin | 110010110100… |
… | …110111100000 |
3 | 221001220202000 |
4 | 302310313200 |
5 | 11402324434 |
6 | 1153324000 |
7 | 221151510 |
oct | 62646740 |
9 | 27056660 |
10 | 13323744 |
11 | 7580365 |
12 | 4566600 |
13 | 29b6695 |
14 | 1aab840 |
15 | 1282b99 |
hex | cb4de0 |
13323744 has 96 divisors (see below), whose sum is σ = 44432640. Its totient is φ = 3805056.
The previous prime is 13323721. The next prime is 13323749. The reversal of 13323744 is 44732331.
13323744 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13323749) 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, 4947 + ... + 7149.
It is an arithmetic number, because the mean of its divisors is an integer number (462840).
Almost surely, 213323744 is an apocalyptic number.
13323744 is a gapful number since it is divisible by the number (14) 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 13323744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22216320).
13323744 is an abundant number, since it is smaller than the sum of its proper divisors (31108896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13323744 is a wasteful number, since it uses less digits than its factorization.
13323744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2229 (or 2215 counting only the distinct ones).
The product of its digits is 6048, while the sum is 27.
The square root of 13323744 is about 3650.1704069810. The cubic root of 13323744 is about 237.0693596065.
The spelling of 13323744 in words is "thirteen million, three hundred twenty-three thousand, seven hundred forty-four".
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