Base | Representation |
---|---|
bin | 100010010101… |
… | …1000010111010 |
3 | 1020212121020200 |
4 | 1010223002322 |
5 | 14102031411 |
6 | 1441503030 |
7 | 306005163 |
oct | 104530272 |
9 | 36777220 |
10 | 18002106 |
11 | a186281 |
12 | 6041a76 |
13 | 3963c45 |
14 | 256876a |
15 | 18a8e56 |
hex | 112b0ba |
18002106 has 12 divisors (see below), whose sum is σ = 39004602. Its totient is φ = 6000696.
The previous prime is 18002059. The next prime is 18002111. The reversal of 18002106 is 60120081.
It can be written as a sum of positive squares in only one way, i.e., 9828225 + 8173881 = 3135^2 + 2859^2 .
It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1000117 = 18002106 / (1 + 8 + 0 + 0 + 2 + 1 + 0 + 6).
18002106 is a modest number, since divided by 2106 gives 18 as remainder.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 500041 + ... + 500076.
Almost surely, 218002106 is an apocalyptic number.
18002106 is an abundant number, since it is smaller than the sum of its proper divisors (21002496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18002106 is a wasteful number, since it uses less digits than its factorization.
18002106 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1000125 (or 1000122 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 18002106 is about 4242.8888743402. Note that the first 4 decimals coincide. The cubic root of 18002106 is about 262.0843599137.
Adding to 18002106 its reverse (60120081), we get a palindrome (78122187).
The spelling of 18002106 in words is "eighteen million, two thousand, one hundred six".
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