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2006 = 21759
BaseRepresentation
bin11111010110
32202022
4133112
531011
613142
75564
oct3726
92668
102006
111564
1211b2
13bb4
14a34
158db
hex7d6

2006 has 8 divisors (see below), whose sum is σ = 3240. Its totient is φ = 928.

The previous prime is 2003. The next prime is 2011. The reversal of 2006 is 6002.

2006 is nontrivially palindromic in base 3.

It is a sphenic number, since it is the product of 3 distinct primes.

2006 is a modest number, since divided by 6 gives 2 as remainder.

It is a Curzon number.

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1984 and 2002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 63.

It is an arithmetic number, because the mean of its divisors is an integer number (405).

22006 is an apocalyptic number.

2006 is a deficient number, since it is larger than the sum of its proper divisors (1234).

2006 is a wasteful number, since it uses less digits than its factorization.

2006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2006 is about 44.7883913531. The cubic root of 2006 is about 12.6117971312.

The spelling of 2006 in words is "two thousand, six", and is thus an eban number.

Divisors: 1 2 17 34 59 118 1003 2006