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5768 = 237103
BaseRepresentation
bin1011010001000
321220122
41122020
5141033
642412
722550
oct13210
97818
105768
114374
123408
132819
142160
151a98
hex1688

5768 has 16 divisors (see below), whose sum is σ = 12480. Its totient is φ = 2448.

The previous prime is 5749. The next prime is 5779. The reversal of 5768 is 8675.

It can be divided in two parts, 57 and 68, that added together give a cube (125 = 53).

It is a tribonacci number.

It is an Ulam number.

Its product of digits (1680) is a multiple of the sum of its prime divisors (112).

It is a plaindrome in base 16.

It is an unprimeable number.

5768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

25768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240).

5768 is an abundant number, since it is smaller than the sum of its proper divisors (6712).

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

5768 is a wasteful number, since it uses less digits than its factorization.

5768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 5768 is about 75.9473501842. The cubic root of 5768 is about 17.9339140448.

The spelling of 5768 in words is "five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5768