Base | Representation |
---|---|
bin | 100011111111… |
… | …1000001000000 |
3 | 1022111201020100 |
4 | 1013333001000 |
5 | 14312322321 |
6 | 1512242400 |
7 | 316252362 |
oct | 107770100 |
9 | 38451210 |
10 | 18870336 |
11 | a719621 |
12 | 63a0400 |
13 | 3ba91a4 |
14 | 2712d32 |
15 | 19cb326 |
hex | 11ff040 |
18870336 has 63 divisors (see below), whose sum is σ = 54388893. Its totient is φ = 6255360.
The previous prime is 18870331. The next prime is 18870343. The reversal of 18870336 is 63307881.
The square root of 18870336 is 4344.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 207936 + 18662400 = 456^2 + 4320^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 18870336.
It is not an unprimeable number, because it can be changed into a prime (18870331) 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 8 ways as a sum of consecutive naturals, for example, 104166 + ... + 104346.
Almost surely, 218870336 is an apocalyptic number.
18870336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
18870336 is the 4344-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 18870336
18870336 is an abundant number, since it is smaller than the sum of its proper divisors (35518557).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18870336 is an equidigital number, since it uses as much as digits as its factorization.
18870336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 380 (or 186 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The cubic root of 18870336 is about 266.2317689031.
Multiplying 18870336 by its sum of digits (36), we get a square (679332096 = 260642).
18870336 divided by its sum of digits (36) gives a square (524176 = 7242).
The spelling of 18870336 in words is "eighteen million, eight hundred seventy thousand, three hundred thirty-six".
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