Base | Representation |
---|---|
bin | 110010010110… |
… | …101100100000 |
3 | 220211122012211 |
4 | 302112230200 |
5 | 11334401120 |
6 | 1150531504 |
7 | 220125301 |
oct | 62265440 |
9 | 26748184 |
10 | 13200160 |
11 | 74a6526 |
12 | 4506b94 |
13 | 297235c |
14 | 1a787a8 |
15 | 125b25a |
hex | c96b20 |
13200160 has 96 divisors (see below), whose sum is σ = 34618752. Its totient is φ = 4730880.
The previous prime is 13200119. The next prime is 13200169. The reversal of 13200160 is 6100231.
It is a self number, because there is not a number n which added to its sum of digits gives 13200160.
It is not an unprimeable number, because it can be changed into a prime (13200169) 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, 62455 + ... + 62665.
It is an arithmetic number, because the mean of its divisors is an integer number (360612).
Almost surely, 213200160 is an apocalyptic number.
13200160 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 13200160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309376).
13200160 is an abundant number, since it is smaller than the sum of its proper divisors (21418592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13200160 is a wasteful number, since it uses less digits than its factorization.
13200160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 266 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 13200160 is about 3633.2024441256. The cubic root of 13200160 is about 236.3341049711.
Adding to 13200160 its reverse (6100231), we get a palindrome (19300391).
The spelling of 13200160 in words is "thirteen million, two hundred thousand, one hundred sixty".
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