Search a number
-
+
5886 = 233109
BaseRepresentation
bin1011011111110
322002000
41123332
5142021
643130
723106
oct13376
98060
105886
114471
1234a6
1328aa
142206
151b26
hex16fe

5886 has 16 divisors (see below), whose sum is σ = 13200. Its totient is φ = 1944.

The previous prime is 5881. The next prime is 5897. The reversal of 5886 is 6885.

5886 is a nontrivial binomial coefficient, being equal to C(109, 2).

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

Its product of digits (1920) is a multiple of the sum of its prime factors (120).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5881) by changing a digit.

5886 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (825).

25886 is an apocalyptic number.

5886 is the 108-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6600).

5886 is an abundant number, since it is smaller than the sum of its proper divisors (7314).

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

5886 is a wasteful number, since it uses less digits than its factorization.

5886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5886 is about 76.7202711153. The cubic root of 5886 is about 18.0553849644.

Subtracting 5886 from its reverse (6885), we obtain a palindrome (999).

It can be divided in two parts, 58 and 86, that added together give a square (144 = 122).

The spelling of 5886 in words is "five thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 981 1962 2943 5886