Search a number
-
+
6864066 = 2321134667
BaseRepresentation
bin11010001011110011000010
3110220201201200
4122023303002
53224122231
6403042030
7112225566
oct32136302
913821650
106864066
113969090
122370316
1315643a1
14ca96a6
15908be6
hex68bcc2

6864066 has 24 divisors (see below), whose sum is σ = 16224624. Its totient is φ = 2079960.

The previous prime is 6864059. The next prime is 6864079. The reversal of 6864066 is 6604686.

6864066 is a `hidden beast` number, since 6 + 8 + 640 + 6 + 6 = 666.

It is a super-4 number, since 4×68640664 (a number of 28 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 6864066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17136 + ... + 17531.

It is an arithmetic number, because the mean of its divisors is an integer number (676026).

Almost surely, 26864066 is an apocalyptic number.

6864066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6864066 is an abundant number, since it is smaller than the sum of its proper divisors (9360558).

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

6864066 is a wasteful number, since it uses less digits than its factorization.

6864066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34686 (or 34683 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6864066 is about 2619.9362587666. The cubic root of 6864066 is about 190.0467659582.

The spelling of 6864066 in words is "six million, eight hundred sixty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 34667 69334 104001 208002 312003 381337 624006 762674 1144011 2288022 3432033 6864066