What is the sum of the divisors of 4064?

When finding the divisors of 4064, we first note that it is an even number. So, we know that 2 is a divisor. Factoring 4064, we get 2^6 * 127. Now, using the divisor sum formula, the sum of divisors of 4064 is obtained by multiplying the sum of powers of each prime factor plus 1. The sum of powers of 2 is (2^7 - 1) / (2 - 1) = 127. Since the number 127 is prime, the sum of powers of 127 is (127^1 - 1) / (127 - 1) = 128. Multiply these, and the sum of divisors is 127 * 128 = 16,256.

Math question: Find the sum of all the positive factors of the number 4064.

To find the sum of all positive factors of a number, we start by prime factorizing it: 4064 = 2^6 * 7^2. Next, we use the formula for the sum of factors: Sum of factors = (2^0 + 2^1 + 2^2 + ... + 2^6) * (7^0 + 7^1 + 7^2) Using the formula for sum of a geometric series, we calculate the sum for each factor base separately: 2^0 + 2^1 + 2^2 + ... + 2^6 = (2^7 - 1) / (2 - 1) = 127 7^0 + 7^1 + 7^2 = (7^3 - 1) / (7 - 1) = 57 Multiplying these sums together: 127 * 57 = 7229. Therefore, the sum of all positive factors of 4064 is 7229.

Math question: What is the sum of the digits of the number 4064?

To find the sum of the digits of 4064, we add each digit individually. In 4064, the digits are 4, 0, 6, and 4. Summing them up, we have 4 + 0 + 6 + 4 = 14. Therefore, the sum of the digits of 4064 is 14.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

4064 (number)

4064 is an even 4-digits composite number following 4063 and preceding 4065. In scientific notation, it is written as 4.064 × 10^3. The sum of its digits is 14. It has a total of 6 prime factors and 12 positive divisors. There are 2016 positive integers (up to 4064) that are relatively prime to 4064.

Interesting facts

4064 has 12 divisors, whose sum is 8064
The reverse of 4064 is 4604
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 14
Digital Root 5

Name

Name	four thousand sixty-four

Notation

Scientific notation	4.064 × 10^3
Engineering notation	4.064 × 10^3

Prime Factorization of 4064

Prime Factorization 2 × 2 × 2 × 2 × 2 × 127

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	254	Product of the distinct prime numbers

The prime factorization of 4064 is 2 × 2 × 2 × 2 × 2 × 127. Since it has a total of 6 prime factors.

Most popular turbo-numbers

8, 2, 87, 80, 244, 936, 4317, 1925, 30533, 29204, 560613, 391040, 5981249, 2474758, 91501319, 32207769, 219880676, 143990249, 2273895515, 8442759804

Basic calculations (n = 4064)

Multiplication

n×y

n×2	8128
n×3	12192
n×4	16256
n×5	20320

Division

n÷y

n÷2	2032
n÷3	1354.6666666667
n÷3	1016
n÷5	812.8

Exponentiation

n^y

n²	16516096
n³	67121414144
n⁴	272781427081216
n⁵	1108583719658061824

Nth Root

^y√n

²√n	63.749509802037
³√n	15.958224352972
⁴√n	7.9843290138895
⁵√n	5.2697588255412

Divisors of 4064

1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-4063	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4064 can be divided by 12 positive divisors. The sum of these divisors (counting 4064) is 1, the average is 0.083333333333333.

Base conversion 4064

Base	System	Value
2	Binary	111111100000
3	Ternary	12120112
4	Quaternary	333200
5	Quinary	112224
6	Senary	30452
8	Octal	7740
10	Decimal	4064
12	Duodecimal	2428
16	Hexadecimal	fe0
20	Vigesimal	a34
36	Base36	34w

Cryptographic Hash Functions

md5	8430b32b5bac908e765df8813d4405c5
sha1	dabccf22e080c34c0d197aef7a70603f18847219
sha256	045784691835debe9fb834873a41b59b7c5a3764f899852d8f92cbce3035522b
sha512	634c9f091b7e4996012e1ffe939d816f3a062e974e9ecd1ccd31787e1b236bff965f5a90b547486ed1376aae042bbed5fc437621dfc1c244a2cacd3d2ebd24ff
ripemd-160	c5c188811809757ae0766b6c96e5e625adda613a

4064 as geometric shapes

Circle

Radius = n

Diameter	8128
Circumference	25534.865088378
Area	51886845.859584

Sphere

Radius = n

Volume	281157522097.8
Surface area	207547383.43834
Circumference	25534.865088378

Square

Length = n

Perimeter	16256
Area	16516096
Diagonal	5747.3639174843

Cube

Length = n

Surface area	99096576
Volume	67121414144
Space diagonal	7039.0544819599

Equilateral Triangle

Length = n

Perimeter	12192
Area	7151679.3536713
Altitude	3519.52724098

Triangular Pyramid

Length = n

Surface area	7151679.3536713
Volume	7910334517.3422
Height	1915.7879724948