Base | Representation |
---|---|
bin | 111101010001001110010 |
3 | 10210000000000 |
4 | 13222021302 |
5 | 1003221131 |
6 | 111010430 |
7 | 23031153 |
oct | 7521162 |
9 | 3700000 |
10 | 2007666 |
11 | 1151431 |
12 | 809a16 |
13 | 553a8b |
14 | 3a392a |
15 | 299ce6 |
hex | 1ea272 |
2007666 has 44 divisors (see below), whose sum is σ = 4782942. Its totient is φ = 629856.
The previous prime is 2007661. The next prime is 2007679. The reversal of 2007666 is 6667002.
It can be written as a sum of positive squares in only one way, i.e., 1476225 + 531441 = 1215^2 + 729^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2007661) 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 21 ways as a sum of consecutive naturals, for example, 118090 + ... + 118106.
22007666 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2007666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391471).
2007666 is an abundant number, since it is smaller than the sum of its proper divisors (2775276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2007666 is an frugal number, since it uses more digits than its factorization.
2007666 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49 (or 22 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 2007666 is about 1416.9213104474. The cubic root of 2007666 is about 126.1528756656.
The spelling of 2007666 in words is "two million, seven thousand, six hundred sixty-six".
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