| Base | Representation |
|---|---|
| bin | 101111001011… |
| … | …110100010000 |
| 3 | 212021102022100 |
| 4 | 233023310100 |
| 5 | 11131303133 |
| 6 | 1121040400 |
| 7 | 210064500 |
| oct | 57136420 |
| 9 | 25242270 |
| 10 | 12369168 |
| 11 | 6a89159 |
| 12 | 4186100 |
| 13 | 2741046 |
| 14 | 18dda00 |
| 15 | 1144e13 |
| hex | bcbd10 |
12369168 has 90 divisors (see below), whose sum is σ = 40291134. Its totient is φ = 3532032.
The previous prime is 12369163. The next prime is 12369169. The reversal of 12369168 is 86196321.
12369168 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 7225344 + 5143824 = 2688^2 + 2268^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
12369168 is strictly pandigital in base 8.
It is not an unprimeable number, because it can be changed into a prime (12369163) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6180 + ... + 7932.
Almost surely, 212369168 is an apocalyptic number.
12369168 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 12369168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145567).
12369168 is an abundant number, since it is smaller than the sum of its proper divisors (27921966).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12369168 is a wasteful number, since it uses less digits than its factorization.
12369168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1781 (or 1765 counting only the distinct ones).
The product of its digits is 15552, while the sum is 36.
The square root of 12369168 is about 3516.9827977970. The cubic root of 12369168 is about 231.2669091118.
It can be divided in two parts, 1236 and 9168, that added together give a square (10404 = 1022).
The spelling of 12369168 in words is "twelve million, three hundred sixty-nine thousand, one hundred sixty-eight".
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