Search a number
5988 = 223499
BaseRepresentation
bin1011101100100
322012210
41131210
5142423
643420
723313
oct13544
98183
105988
114554
123570
132958
14227a
151b93
hex1764

5988 has 12 divisors (see below), whose sum is σ = 14000. Its totient is φ = 1992.

The previous prime is 5987. The next prime is 6007. The reversal of 5988 is 8895.

It can be divided in two parts, 598 and 8, that added together give a palindrome (606).

5988 is nontrivially palindromic in base 11.

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

It is a super-2 number, since 2×59882 = 71712288, which contains 22 as substring.

It is a plaindrome in base 14.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 261.

25988 is an apocalyptic number.

It is an amenable number.

5988 is an abundant number, since it is smaller than the sum of its proper divisors (8012).

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 (7000).

5988 is a wasteful number, since it uses less digits than its factorization.

5988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 5988 is about 77.3821684886. The cubic root of 5988 is about 18.1590837060.

The spelling of 5988 in words is "five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 499 998 1497 1996 2994 5988