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7006 = 231113
BaseRepresentation
bin1101101011110
3100121111
41231132
5211011
652234
726266
oct15536
910544
107006
11529a
12407a
13325c
1427a6
152121
hex1b5e

7006 has 8 divisors (see below), whose sum is σ = 10944. Its totient is φ = 3360.

The previous prime is 7001. The next prime is 7013. The reversal of 7006 is 6007.

Subtracting from 7006 its reverse (6007), we obtain a palindrome (999).

7006 = T28 + T29 + ... + T39.

7006 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

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

7006 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001) 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, 6 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (1368).

27006 is an apocalyptic number.

7006 is a deficient number, since it is larger than the sum of its proper divisors (3938).

7006 is a wasteful number, since it uses less digits than its factorization.

7006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 7006 is about 83.7018518314. The cubic root of 7006 is about 19.1347757846.

The spelling of 7006 in words is "seven thousand, six".

Divisors: 1 2 31 62 113 226 3503 7006