Base | Representation |
---|---|
bin | 100010100011… |
… | …1011011100000 |
3 | 1021002111201200 |
4 | 1011013123200 |
5 | 14114241433 |
6 | 1444201200 |
7 | 310001142 |
oct | 105073340 |
9 | 37074650 |
10 | 18118368 |
11 | a255664 |
12 | 6099200 |
13 | 39a4b38 |
14 | 2598c92 |
15 | 18cd613 |
hex | 11476e0 |
18118368 has 72 divisors (see below), whose sum is σ = 52540488. Its totient is φ = 5920512.
The previous prime is 18118367. The next prime is 18118469. The reversal of 18118368 is 86381181.
It is a tau number, because it is divible by the number of its divisors (72).
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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18118361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14671 + ... + 15857.
It is an arithmetic number, because the mean of its divisors is an integer number (729729).
Almost surely, 218118368 is an apocalyptic number.
18118368 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 18118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26270244).
18118368 is an abundant number, since it is smaller than the sum of its proper divisors (34422120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18118368 is a wasteful number, since it uses less digits than its factorization.
18118368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1256 (or 1245 counting only the distinct ones).
The product of its digits is 9216, while the sum is 36.
The square root of 18118368 is about 4256.5676313199. The cubic root of 18118368 is about 262.6473512842.
The spelling of 18118368 in words is "eighteen million, one hundred eighteen thousand, three hundred sixty-eight".
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