Base | Representation |
---|---|
bin | 111101001110000110000 |
3 | 10202220210200 |
4 | 13221300300 |
5 | 1003143224 |
6 | 110555200 |
7 | 23023404 |
oct | 7516060 |
9 | 3686720 |
10 | 2006064 |
11 | 1150205 |
12 | 808b00 |
13 | 553128 |
14 | 3a3104 |
15 | 2995c9 |
hex | 1e9c30 |
2006064 has 30 divisors (see below), whose sum is σ = 5614596. Its totient is φ = 668640.
The previous prime is 2006033. The next prime is 2006071. The reversal of 2006064 is 4606002.
Added to its reverse (4606002) it gives a triangular number (6612066 = T3636).
2006064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6822 + ... + 7109.
22006064 is an apocalyptic number.
2006064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
2006064 is an abundant number, since it is smaller than the sum of its proper divisors (3608532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006064 is a wasteful number, since it uses less digits than its factorization.
2006064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13945 (or 13936 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2006064 is about 1416.3558874803. The cubic root of 2006064 is about 126.1193125323.
Adding to 2006064 its reverse (4606002), we get a triangular number (6612066 = T3636).
The spelling of 2006064 in words is "two million, six thousand, sixty-four", and thus it is an eban number.
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