4040 (number)
4,040 (four thousand forty) is an even fourdigits composite number following 4039 and preceding 4041. In scientific notation, it is written as 4.04 × 10^{3}. The sum of its digits is 8. It has a total of 5 prime factors and 16 positive divisors. There are 1,600 positive integers (up to 4040) that are relatively prime to 4040.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 4
 Sum of Digits 8
 Digital Root 8
Name
Short name  4 thousand 40 

Full name  four thousand forty 
Notation
Scientific notation  4.04 × 10^{3} 

Engineering notation  4.04 × 10^{3} 
Prime Factorization of 4040
Prime Factorization 2^{3} × 5 × 101
Composite numberω(n)  Distinct Factors  3  Total number of distinct prime factors 

Ω(n)  Total Factors  5  Total number of prime factors 
rad(n)  Radical  1010  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 4,040 is 2^{3} × 5 × 101. Since it has a total of 5 prime factors, 4,040 is a composite number.
Divisors of 4040
16 divisors
τ(n)  Total Divisors  16  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  9180  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  5140  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  573.75  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  63.560994328283  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  7.041394335512  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 4,040 can be divided by 16 positive divisors (out of which 12 are even, and 4 are odd). The sum of these divisors (counting 4,040) is 9,180, the average is 573,.75.
Other Arithmetic Functions (n = 4040)
φ(n)  Euler Totient  1600  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  100  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 559  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  16  The number of ways n can be represented as the sum of 2 squares 
There are 1,600 positive integers (less than 4,040) that are coprime with 4,040. And there are approximately 559 prime numbers less than or equal to 4,040.
Divisibility of 4040
m  2  3  4  5  6  7  8  9 

n mod m  0  2  0  0  2  1  0  8 
The number 4,040 is divisible by 2, 4, 5 and 8.
Classification of 4040
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
Base conversion (4040)
Base  System  Value 

2  Binary  111111001000 
3  Ternary  12112122 
4  Quaternary  333020 
5  Quinary  112130 
6  Senary  30412 
8  Octal  7710 
10  Decimal  4040 
12  Duodecimal  2408 
16  Hexadecimal  fc8 
20  Vigesimal  a20 
36  Base36  348 
Basic calculations (n = 4040)
Multiplication
n×yn×2  8080 

n×3  12120 
n×4  16160 
n×5  20200 
Division
n÷yn÷2  2020.000 

n÷3  1346.666 
n÷4  1010.000 
n÷5  808.000 
Exponentiation
n^{y}n^{2}  16321600 

n^{3}  65939264000 
n^{4}  266394626560000 
n^{5}  1076234291302400000 
Nth Root
^{y}√n^{2}√n  63.560994328283 

^{3}√n  15.926748483578 
^{4}√n  7.9725149312048 
^{5}√n  5.2635199459752 
4040 as geometric shapes
Circle
Radius = nDiameter  8080 

Circumference  25384.068641006 
Area  51275818.654831 
Sphere
Radius = nVolume  276205743154.02 

Surface area  205103274.61932 
Circumference  25384.068641006 
Square
Length = nPerimeter  16160 

Area  16321600 
Diagonal  5713.4227919873 
Cube
Length = nSurface area  97929600 

Volume  65939264000 
Space diagonal  6997.4852625783 
Equilateral Triangle
Length = nPerimeter  12120 

Area  7067460.115204 
Altitude  3498.7426312891 
Triangular Pyramid
Length = nSurface area  28269840.460816 

Volume  7771016786.8083 
Height  3298.646186948 
Cryptographic Hash Functions
md5  ca4b33532855080dfa79cf8a925d146d 

sha1  80cc3ab97a5b0977b051895f76c0ef8a13a3c40e 
sha256  b411746bdf09bde7f1fe70ddc8fa57241a0cb79d14d6e9c27e598635ca7dae4d 
sha512  a5b9a75ece502d1ebb2a2f43ebc98f14995e9687abb4d6dc4c654e16d6278b422dee59a5b64f9c427b85ecbe1e8a82f4214cd6004f1d777a29811ffc2b1695c6 
ripemd160  27e0c0a71b8b23784063c18f2cb589f087cc2209 