Base | Representation |
---|---|
bin | 110010000101… |
… | …111001010000 |
3 | 220201010211002 |
4 | 302011321100 |
5 | 11330200334 |
6 | 1145241132 |
7 | 216420542 |
oct | 62057120 |
9 | 26633732 |
10 | 13131344 |
11 | 7459856 |
12 | 44931a8 |
13 | 2949c35 |
14 | 1a5b692 |
15 | 1245b7e |
hex | c85e50 |
13131344 has 40 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 5907968.
The previous prime is 13131343. The next prime is 13131359. The reversal of 13131344 is 44313131.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13131341) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5207 + ... + 7305.
It is an arithmetic number, because the mean of its divisors is an integer number (703080).
Almost surely, 213131344 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 13131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).
13131344 is an abundant number, since it is smaller than the sum of its proper divisors (14991856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13131344 is a wasteful number, since it uses less digits than its factorization.
13131344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2147 (or 2141 counting only the distinct ones).
The product of its digits is 432, while the sum is 20.
The square root of 13131344 is about 3623.7196359542. The cubic root of 13131344 is about 235.9226980378.
Adding to 13131344 its reverse (44313131), we get a palindrome (57444475).
The spelling of 13131344 in words is "thirteen million, one hundred thirty-one thousand, three hundred forty-four".
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