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BaseRepresentation
bin11111010111
32202100
4133113
531012
613143
75565
oct3727
92670
102007
111565
1211b3
13bb5
14a35
158dc
hex7d7

2007 has 6 divisors (see below), whose sum is σ = 2912. Its totient is φ = 1332.

The previous prime is 2003. The next prime is 2011. The reversal of 2007 is 7002.

Adding to 2007 its reverse (7002), we get a palindrome (9009).

2007 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (2003) and next prime (2011).

It is not a de Polignac number, because 2007 - 22 = 2003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 223 = 2007 / (2 + 0 + 0 + 7).

It is a Duffinian number.

2007 is an undulating number in base 16.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2007.

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 5 ways as a sum of consecutive naturals, for example, 103 + ... + 120.

22007 is an apocalyptic number.

2007 is a deficient number, since it is larger than the sum of its proper divisors (905).

2007 is a wasteful number, since it uses less digits than its factorization.

2007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 2007 is about 44.7995535692. The cubic root of 2007 is about 12.6138924622.

The spelling of 2007 in words is "two thousand, seven", and thus it is an iban number.

Divisors: 1 3 9 223 669 2007