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66006 = 23219193
BaseRepresentation
bin10000000111010110
310100112200
4100013112
54103011
61225330
7363303
oct200726
9110480
1066006
1145656
1232246
1324075
141a0aa
1514856
hex101d6

66006 has 24 divisors (see below), whose sum is σ = 151320. Its totient is φ = 20736.

The previous prime is 65993. The next prime is 66029. The reversal of 66006 is 60066.

66006 is a `hidden beast` number, since 660 + 0 + 6 = 666.

66006 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 66006.

It is a congruent number.

It is an unprimeable number.

66006 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (6305).

266006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75660).

66006 is an abundant number, since it is smaller than the sum of its proper divisors (85314).

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

66006 is a wasteful number, since it uses less digits than its factorization.

66006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66006 is about 256.9163287921. The cubic root of 66006 is about 40.4136247873.

The spelling of 66006 in words is "sixty-six thousand, six", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 19 38 57 114 171 193 342 386 579 1158 1737 3474 3667 7334 11001 22002 33003 66006