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5724 = 223353
BaseRepresentation
bin1011001011100
321212000
41121130
5140344
642300
722455
oct13134
97760
105724
114334
123390
1327b4
14212c
151a69
hex165c

5724 has 24 divisors (see below), whose sum is σ = 15120. Its totient is φ = 1872.

The previous prime is 5717. The next prime is 5737. The reversal of 5724 is 4275.

It is a happy number.

5724 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 5697 and 5706.

It is a congruent number.

It is an unprimeable number.

5724 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

25724 is an apocalyptic number.

5724 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

5724 is an abundant number, since it is smaller than the sum of its proper divisors (9396).

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

5724 is a wasteful number, since it uses less digits than its factorization.

5724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 5724 is about 75.6571212775. The cubic root of 5724 is about 17.8881958732. Note that the first 3 decimals are identical.

Adding to 5724 its reverse (4275), we get a palindrome (9999).

It can be divided in two parts, 572 and 4, that added together give a square (576 = 242).

The spelling of 5724 in words is "five thousand, seven hundred twenty-four".