Base | Representation |
---|---|
bin | 100100001000… |
… | …1000001000000 |
3 | 1022122110101000 |
4 | 1020101001000 |
5 | 14322202224 |
6 | 1514012000 |
7 | 320010336 |
oct | 110210100 |
9 | 38573330 |
10 | 18944064 |
11 | a769a57 |
12 | 6417000 |
13 | 3c03909 |
14 | 2731b56 |
15 | 19e30c9 |
hex | 1211040 |
18944064 has 112 divisors (see below), whose sum is σ = 58724800. Its totient is φ = 5971968.
The previous prime is 18944063. The next prime is 18944117. The reversal of 18944064 is 46044981.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (18944063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32544 + ... + 33120.
Almost surely, 218944064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29362400).
18944064 is an abundant number, since it is smaller than the sum of its proper divisors (39780736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18944064 is a wasteful number, since it uses less digits than its factorization.
18944064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 617 (or 601 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 18944064 is about 4352.4779149354. The cubic root of 18944064 is about 266.5780483315.
It can be divided in two parts, 189 and 44064, that added together give a triangular number (44253 = T297).
The spelling of 18944064 in words is "eighteen million, nine hundred forty-four thousand, sixty-four".
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