Search a number
-
+
6685686 = 233723769
BaseRepresentation
bin11001100000001111110110
3110120200001000
4121200033312
53202420221
6355144130
7110553540
oct31401766
913520030
106685686
113857067
1222a5046
131501137
14c60690
158c0e26
hex6603f6

6685686 has 64 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1824768.

The previous prime is 6685673. The next prime is 6685687. The reversal of 6685686 is 6865866.

6685686 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (414720) is a multiple of the sum of its prime factors (810).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6685687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8310 + ... + 9078.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 26685686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6685686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

6685686 is an abundant number, since it is smaller than the sum of its proper divisors (11055114).

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

6685686 is a wasteful number, since it uses less digits than its factorization.

6685686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 6685686 is about 2585.6693524115. The cubic root of 6685686 is about 188.3860146217.

The spelling of 6685686 in words is "six million, six hundred eighty-five thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 769 966 1242 1449 1538 2307 2898 4347 4614 5383 6921 8694 10766 13842 16149 17687 20763 32298 35374 41526 48447 53061 96894 106122 123809 145341 159183 247618 290682 318366 371427 477549 742854 955098 1114281 2228562 3342843 6685686