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5684580 = 2234511229
BaseRepresentation
bin10101101011110101100100
3101200210210000
4111223311210
52423401310
6321501300
766214056
oct25536544
911623700
105684580
113232a00
121aa1830
131240575
14a7d8d6
157744c0
hex56bd64

5684580 has 180 divisors, whose sum is σ = 20277180. Its totient is φ = 1330560.

The previous prime is 5684561. The next prime is 5684593. The reversal of 5684580 is 854865.

It is a happy number.

5684580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 3175524 = 1584^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196006 + ... + 196034.

It is an arithmetic number, because the mean of its divisors is an integer number (112651).

Almost surely, 25684580 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 5684580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10138590).

5684580 is an abundant number, since it is smaller than the sum of its proper divisors (14592600).

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

5684580 is a wasteful number, since it uses less digits than its factorization.

5684580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5684580 is about 2384.2357266009. The cubic root of 5684580 is about 178.4703714682.

The spelling of 5684580 in words is "five million, six hundred eighty-four thousand, five hundred eighty".