Base | Representation |
---|---|
bin | 110001101010… |
… | …011101011000 |
3 | 220111102200000 |
4 | 301222131120 |
5 | 11313101333 |
6 | 1143013000 |
7 | 215442114 |
oct | 61523530 |
9 | 26442600 |
10 | 13018968 |
11 | 7392386 |
12 | 443a160 |
13 | 290aa41 |
14 | 1a2c744 |
15 | 1222713 |
hex | c6a758 |
13018968 has 96 divisors (see below), whose sum is σ = 37761360. Its totient is φ = 4199040.
The previous prime is 13018927. The next prime is 13018969. The reversal of 13018968 is 86981031.
13018968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13018969) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71838 + ... + 72018.
Almost surely, 213018968 is an apocalyptic number.
13018968 is a gapful number since it is divisible by the number (18) 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 13018968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18880680).
13018968 is an abundant number, since it is smaller than the sum of its proper divisors (24742392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13018968 is a wasteful number, since it uses less digits than its factorization.
13018968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 239 (or 223 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The square root of 13018968 is about 3608.1807050091. The cubic root of 13018968 is about 235.2477724702.
Adding to 13018968 its reverse (86981031), we get a palindrome (99999999).
The spelling of 13018968 in words is "thirteen million, eighteen thousand, nine hundred sixty-eight".
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