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6009 = 32003
BaseRepresentation
bin1011101111001
322020120
41131321
5143014
643453
723343
oct13571
98216
106009
114573
123589
132973
142293
151ba9
hex1779

6009 has 4 divisors (see below), whose sum is σ = 8016. Its totient is φ = 4004.

The previous prime is 6007. The next prime is 6011. The reversal of 6009 is 9006.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (6007) and next prime (6011).

It is a cyclic number.

It is not a de Polignac number, because 6009 - 21 = 6007 is a prime.

It is a super-2 number, since 2×60092 = 72216162, which contains 22 as substring.

It is a D-number.

6009 is a strobogrammatic number because it is the same when read upside-down.

6009 is a modest number, since divided by 9 gives 6 as remainder.

6009 is a lucky number.

It is a plaindrome in base 12 and base 16.

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 3 ways as a sum of consecutive naturals, for example, 999 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (2004).

26009 is an apocalyptic number.

It is an amenable number.

6009 is a deficient number, since it is larger than the sum of its proper divisors (2007).

6009 is a wasteful number, since it uses less digits than its factorization.

6009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 6009 is about 77.5177399051. The cubic root of 6009 is about 18.1802869923.

The spelling of 6009 in words is "six thousand, nine".

Divisors: 1 3 2003 6009