| Base | Representation |
|---|---|
| bin | 110011101001… |
| … | …011101100000 |
| 3 | 221110212020200 |
| 4 | 303221131200 |
| 5 | 11431223133 |
| 6 | 1202105200 |
| 7 | 223036536 |
| oct | 63513540 |
| 9 | 27425220 |
| 10 | 13539168 |
| 11 | 77081a5 |
| 12 | 464b200 |
| 13 | 2a60756 |
| 14 | 1b26156 |
| 15 | 12c6913 |
| hex | ce9760 |
13539168 has 72 divisors (see below), whose sum is σ = 39272688. Its totient is φ = 4422912.
The previous prime is 13539161. The next prime is 13539179. The reversal of 13539168 is 86193531.
It is a happy number.
13539168 is digitally balanced in base 2 and base 4, because in such bases 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 (72).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 (13539161) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14821 + ... + 15707.
It is an arithmetic number, because the mean of its divisors is an integer number (545454).
Almost surely, 213539168 is an apocalyptic number.
13539168 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 13539168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636344).
13539168 is an abundant number, since it is smaller than the sum of its proper divisors (25733520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13539168 is a wasteful number, since it uses less digits than its factorization.
13539168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 956 (or 945 counting only the distinct ones).
The product of its digits is 19440, while the sum is 36.
The square root of 13539168 is about 3679.5608433616. The cubic root of 13539168 is about 238.3402144274.
The spelling of 13539168 in words is "thirteen million, five hundred thirty-nine thousand, one hundred sixty-eight".
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