Base | Representation |
---|---|
bin | 101011011100… |
… | …010100001000 |
3 | 210102120122000 |
4 | 223130110020 |
5 | 10403410133 |
6 | 1044031000 |
7 | 165540441 |
oct | 53342410 |
9 | 23376560 |
10 | 11388168 |
11 | 6479110 |
12 | 3992460 |
13 | 248967c |
14 | 17262c8 |
15 | eee413 |
hex | adc508 |
11388168 has 64 divisors (see below), whose sum is σ = 34516800. Its totient is φ = 3450240.
The previous prime is 11388161. The next prime is 11388199. The reversal of 11388168 is 86188311.
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.
It is not an unprimeable number, because it can be changed into a prime (11388161) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21 + ... + 4772.
It is an arithmetic number, because the mean of its divisors is an integer number (539325).
Almost surely, 211388168 is an apocalyptic number.
11388168 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 11388168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258400).
11388168 is an abundant number, since it is smaller than the sum of its proper divisors (23128632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11388168 is a wasteful number, since it uses less digits than its factorization.
11388168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4819 (or 4809 counting only the distinct ones).
The product of its digits is 9216, while the sum is 36.
The square root of 11388168 is about 3374.6359803688. The cubic root of 11388168 is about 224.9838210589.
The spelling of 11388168 in words is "eleven million, three hundred eighty-eight thousand, one hundred sixty-eight".
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