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66828 = 2235569
BaseRepresentation
bin10000010100001100
310101200010
4100110030
54114303
61233220
7365556
oct202414
9111603
1066828
1146233
1232810
1324558
141a4d6
1514c03
hex1050c

66828 has 12 divisors (see below), whose sum is σ = 155960. Its totient is φ = 22272.

The previous prime is 66821. The next prime is 66841. The reversal of 66828 is 82866.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66795 and 66804.

It is not an unprimeable number, because it can be changed into a prime (66821) by changing a digit.

66828 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2773 + ... + 2796.

266828 is an apocalyptic number.

It is an amenable number.

66828 is an abundant number, since it is smaller than the sum of its proper divisors (89132).

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 (77980).

66828 is a wasteful number, since it uses less digits than its factorization.

66828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5574 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 66828 is about 258.5111216176. The cubic root of 66828 is about 40.5806956849.

It can be divided in two parts, 668 and 28, that added together give a palindrome (696).

The spelling of 66828 in words is "sixty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 5569 11138 16707 22276 33414 66828