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27006 = 237643
BaseRepresentation
bin110100101111110
31101001020
412211332
51331011
6325010
7141510
oct64576
941036
1027006
1119321
1213766
13c3a5
149bb0
158006
hex697e

27006 has 16 divisors (see below), whose sum is σ = 61824. Its totient is φ = 7704.

The previous prime is 26993. The next prime is 27011. The reversal of 27006 is 60072.

Adding to 27006 its reverse (60072), we get a palindrome (87078).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

27006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

227006 is an apocalyptic number.

27006 is an abundant number, since it is smaller than the sum of its proper divisors (34818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30912).

27006 is a wasteful number, since it uses less digits than its factorization.

27006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 27006 is about 164.3350236559. The cubic root of 27006 is about 30.0022220576.

The spelling of 27006 in words is "twenty-seven thousand, six".

Divisors: 1 2 3 6 7 14 21 42 643 1286 1929 3858 4501 9002 13503 27006