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5688 = 233279
BaseRepresentation
bin1011000111000
321210200
41120320
5140223
642200
722404
oct13070
97720
105688
114301
123360
132787
142104
151a43
hex1638

5688 has 24 divisors (see below), whose sum is σ = 15600. Its totient is φ = 1872.

The previous prime is 5683. The next prime is 5689. The reversal of 5688 is 8865.

It can be divided in two parts, 568 and 8, that added together give a square (576 = 242).

It is a tau number, because it is divible by the number of its divisors (24).

5688 is a modest number, since divided by 88 gives 56 as remainder.

It is a plaindrome in base 10.

It is a nialpdrome in base 6 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (650).

25688 is an apocalyptic number.

5688 is the 48-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800).

5688 is an abundant number, since it is smaller than the sum of its proper divisors (9912).

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

5688 is a wasteful number, since it uses less digits than its factorization.

5688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5688 is about 75.4188305399. The cubic root of 5688 is about 17.8506155191.

The spelling of 5688 in words is "five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688