Search a number
BaseRepresentation
bin1011101110011
322020100
41131303
5143003
643443
723334
oct13563
98210
106003
114568
123583
13296a
14228b
151ba3
hex1773

6003 has 12 divisors (see below), whose sum is σ = 9360. Its totient is φ = 3696.

The previous prime is 5987. The next prime is 6007. The reversal of 6003 is 3006.

Adding to 6003 its reverse (3006), we get a palindrome (9009).

It is not a de Polignac number, because 6003 - 24 = 5987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 7, base 11 and base 14.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (6007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

6003 is a deficient number, since it is larger than the sum of its proper divisors (3357).

6003 is a wasteful number, since it uses less digits than its factorization.

6003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 6003 is about 77.4790294209. The cubic root of 6003 is about 18.1742339580.

The spelling of 6003 in words is "six thousand, three".

Divisors: 1 3 9 23 29 69 87 207 261 667 2001 6003