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5993 = 13461
BaseRepresentation
bin1011101101001
322012222
41131221
5142433
643425
723321
oct13551
98188
105993
114559
123575
132960
142281
151b98
hex1769

5993 has 4 divisors (see below), whose sum is σ = 6468. Its totient is φ = 5520.

The previous prime is 5987. The next prime is 6007. The reversal of 5993 is 3995.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1369 + 4624 = 37^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 5993 - 28 = 5737 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5993.

It is not an unprimeable number, because it can be changed into a prime (5903) 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, 218 + ... + 243.

It is an arithmetic number, because the mean of its divisors is an integer number (1617).

25993 is an apocalyptic number.

It is an amenable number.

5993 is a deficient number, since it is larger than the sum of its proper divisors (475).

5993 is a wasteful number, since it uses less digits than its factorization.

5993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its digits is 1215, while the sum is 26.

The square root of 5993 is about 77.4144689318. The cubic root of 5993 is about 18.1641365983.

The spelling of 5993 in words is "five thousand, nine hundred ninety-three".

Divisors: 1 13 461 5993