| Base | Representation |
|---|---|
| bin | 110100101101… |
| … | …010110110100 |
| 3 | 221222222201200 |
| 4 | 310231112310 |
| 5 | 12014123033 |
| 6 | 1212052500 |
| 7 | 225305403 |
| oct | 64552664 |
| 9 | 27888650 |
| 10 | 13817268 |
| 11 | 7888133 |
| 12 | 4764130 |
| 13 | 2b2a1ca |
| 14 | 1b9963a |
| 15 | 132e013 |
| hex | d2d5b4 |
13817268 has 18 divisors (see below), whose sum is σ = 34927074. Its totient is φ = 4605744.
The previous prime is 13817267. The next prime is 13817291. The reversal of 13817268 is 86271831.
It can be written as a sum of positive squares in only one way, i.e., 12027024 + 1790244 = 3468^2 + 1338^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 383813 = 13817268 / (1 + 3 + 8 + 1 + 7 + 2 + 6 + 8).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13817261) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191871 + ... + 191942.
It is an arithmetic number, because the mean of its divisors is an integer number (1940393).
Almost surely, 213817268 is an apocalyptic number.
13817268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
13817268 is an abundant number, since it is smaller than the sum of its proper divisors (21109806).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13817268 is a wasteful number, since it uses less digits than its factorization.
13817268 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 383823 (or 383818 counting only the distinct ones).
The product of its digits is 16128, while the sum is 36.
The square root of 13817268 is about 3717.1585922583. The cubic root of 13817268 is about 239.9610353410.
It can be divided in two parts, 1381 and 7268, that added together give a square (8649 = 932).
The spelling of 13817268 in words is "thirteen million, eight hundred seventeen thousand, two hundred sixty-eight".
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