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5982 = 23997
BaseRepresentation
bin1011101011110
322012120
41131132
5142412
643410
723304
oct13536
98176
105982
114549
123566
132952
142274
151b8c
hex175e

5982 has 8 divisors (see below), whose sum is σ = 11976. Its totient is φ = 1992.

The previous prime is 5981. The next prime is 5987. The reversal of 5982 is 2895.

It is a sphenic number, since it is the product of 3 distinct primes.

5982 is an admirable number.

It is a plaindrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5982.

It is not an unprimeable number, because it can be changed into a prime (5981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (1497).

25982 is an apocalyptic number.

5982 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (5988).

5982 is a wasteful number, since it uses less digits than its factorization.

5982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its digits is 720, while the sum is 24.

The square root of 5982 is about 77.3433901507. The cubic root of 5982 is about 18.1530165208.

Adding to 5982 its sum of digits (24), we get a palindrome (6006).

It can be divided in two parts, 59 and 82, that added together give a palindrome (141).

The spelling of 5982 in words is "five thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 997 1994 2991 5982