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66636 = 2233617
BaseRepresentation
bin10000010001001100
310101102000
4100101030
54113021
61232300
7365163
oct202114
9111360
1066636
1146079
1232690
132443b
141a3da
1514b26
hex1044c

66636 has 24 divisors (see below), whose sum is σ = 173040. Its totient is φ = 22176.

The previous prime is 66629. The next prime is 66643. The reversal of 66636 is 63666.

It is an interprime number because it is at equal distance from previous prime (66629) and next prime (66643).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66636.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (7210).

266636 is an apocalyptic number.

It is an amenable number.

66636 is an abundant number, since it is smaller than the sum of its proper divisors (106404).

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 (86520).

66636 is a wasteful number, since it uses less digits than its factorization.

66636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 66636 is about 258.1394971716. The cubic root of 66636 is about 40.5417949882.

The spelling of 66636 in words is "sixty-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 617 1234 1851 2468 3702 5553 7404 11106 16659 22212 33318 66636