Search a number
BaseRepresentation
bin1011101101011
322020001
41131223
5142440
643431
723323
oct13553
98201
105995
114560
123577
132962
142283
151b9a
hex176b

5995 has 8 divisors (see below), whose sum is σ = 7920. Its totient is φ = 4320.

The previous prime is 5987. The next prime is 6007.

5995 is nontrivially palindromic in base 10.

5995 is a nontrivial binomial coefficient, being equal to C(110, 2).

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

It is not a de Polignac number, because 5995 - 23 = 5987 is a prime.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

5995 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5995 is the 109-th triangular number and also the 55-th hexagonal number.

5995 is the 37-th centered nonagonal number.

5995 is a deficient number, since it is larger than the sum of its proper divisors (1925).

5995 is a wasteful number, since it uses less digits than its factorization.

5995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 2025, while the sum is 28.

The square root of 5995 is about 77.4273853362. The cubic root of 5995 is about 18.1661569684.

It can be divided in two parts, 5 and 995, that added together give a cube (1000 = 103).

The spelling of 5995 in words is "five thousand, nine hundred ninety-five".

Divisors: 1 5 11 55 109 545 1199 5995