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5904 = 243241
BaseRepresentation
bin1011100010000
322002200
41130100
5142104
643200
723133
oct13420
98080
105904
114488
123500
1328c2
14221a
151b39
hex1710

5904 has 30 divisors (see below), whose sum is σ = 16926. Its totient is φ = 1920.

The previous prime is 5903. The next prime is 5923. The reversal of 5904 is 4095.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 2304 = 60^2 + 48^2 .

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

5904 is an undulating number in base 9.

It is a plaindrome in base 11.

It is a nialpdrome in base 6.

It is a zygodrome in base 3 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 124 + ... + 164.

25904 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 5904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463).

5904 is an abundant number, since it is smaller than the sum of its proper divisors (11022).

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

5904 is a wasteful number, since it uses less digits than its factorization.

5904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5904 is about 76.8374908492. The cubic root of 5904 is about 18.0737713162.

Subtracting from 5904 its sum of digits (18), we obtain a triangular number (5886 = T108).

Adding to 5904 its product of nonzero digits (180), we get a square (6084 = 782).

Adding to 5904 its reverse (4095), we get a palindrome (9999).

It can be divided in two parts, 5 and 904, that added together give a palindrome (909).

The spelling of 5904 in words is "five thousand, nine hundred four".