Math question: What is the cube root of 216?

The cube root of 216 is the value when multiplied by itself three times gives the original number of 216. Cube root(216) = 6. To find the cube root, we need to determine a value 'x' such that x * x * x = 216. By trying different values, it can be determined that 6 * 6 * 6 = 216. Hence, the cube root of 216 is 6.

Question: What is the least possible integer n such that n^3 - 6n^2 + 12n = 216?

To find the value of n, we start by rewriting the equation as n^3 - 6n^2 + 12n - 216 = 0. By testing different integer values of n, we discover that n = 6 satisfies the equation. Hence, our answer is n = 6. Explanation: Let's substitute n = 6 into the equation to verify our answer. n^3 - 6n^2 + 12n = 6^3 - 6(6^2) + 12(6) = 216 - 6(36) + 72 = 216 - 216 + 72 = 72. Thus, when n = 6, the equation simplifies to 72, confirming our solution. We can also graph the function y = x^3 - 6x^2 + 12x - 216 and observe that it intersects the x-axis at x = 6, further supporting our answer.

Math question: Find the cube root of 216 and express the result in decimal form, rounded to two decimal places.

To find the cube root of 216, we can use the concept of exponentiation. Since 216 is a perfect cube, we know that it can be expressed as 6 raised to the power of 3 (6³). Therefore, the cube root of 216 is 6. Alternatively, we can use calculation methods, such as guess and check or a scientific calculator, to approximate the cube root of 216. By plugging in values, we can see that 6³ equals 216. Hence, the cube root of 216 is 6. In decimal form, rounded to two decimal places, the cube root of 216 is 6.00.

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

216 (number)

216 is an even 3-digits composite number following 215 and preceding 217. In scientific notation, it is written as 2.16 × 10^2. The sum of its digits is 9. It has a total of 5 prime factors and 16 positive divisors. There are 72 positive integers (up to 216) that are relatively prime to 216.

Interesting facts

216 has 16 divisors, whose sum is 600
The reverse of 216 is 612
Previous prime number is 9

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 9
Digital Root 9

Name

Name	two hundred sixteen

Notation

Scientific notation	2.16 × 10^2
Engineering notation	2.16 × 10^0

Prime Factorization of 216

Prime Factorization 2 × 2 × 2 × 9 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	54	Product of the distinct prime numbers

The prime factorization of 216 is 2 × 2 × 2 × 9 × 3. Since it has a total of 5 prime factors.

Most popular turbo-numbers

7, 4, 59, 57, 162, 313, 8479, 8868, 81993, 18190, 101633, 893435, 8583241, 6658161, 76605287, 45976554, 874194608, 147316488, 1445953713, 1653612834

Basic calculations (n = 216)

Multiplication

n×y

n×2	432
n×3	648
n×4	864
n×5	1080

Division

n÷y

n÷2	108
n÷3	72
n÷3	54
n÷5	43.2

Exponentiation

n^y

n²	46656
n³	10077696
n⁴	2176782336
n⁵	470184984576

Nth Root

^y√n

²√n	14.696938456699
³√n	6
⁴√n	3.8336586254776
⁵√n	2.9301560515835

Divisors of 216

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-215	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 216 can be divided by 16 positive divisors. The sum of these divisors (counting 216) is 1, the average is 0.0625.

Base conversion 216

Base	System	Value
2	Binary	11011000
3	Ternary	22000
4	Quaternary	3120
5	Quinary	1331
6	Senary	1000
8	Octal	330
10	Decimal	216
12	Duodecimal	160
16	Hexadecimal	d8
20	Vigesimal	ag
36	Base36	60

Cryptographic Hash Functions

md5	45fbc6d3e05ebd93369ce542e8f2322d
sha1	0bad865a02d82f4970687ffe1b80822b76cc0626
sha256	0f4121d0ef1df4c86854c7ebb47ae1c93de8aec8f944035eeaa6495dd71a0678
sha512	1028363d99ff555a6b72cb48bcf75fbc019fcb98ebd52bcfd07be0a82347f1046192b020630a35798fa1b1a644ff86bf51b3d411eb540afbf427c679e693e736
ripemd-160	0ea4c80340093c276d47dad0d9f6a626849f3259

216 as geometric shapes

Circle

Radius = n

Diameter	432
Circumference	1357.1680263508
Area	146574.14684589

Sphere

Radius = n

Volume	42213354.291615
Surface area	586296.58738354
Circumference	1357.1680263508

Square

Length = n

Perimeter	864
Area	46656
Diagonal	305.47012947259

Cube

Length = n

Surface area	279936
Volume	10077696
Space diagonal	374.12297443488

Equilateral Triangle

Length = n

Perimeter	648
Area	20202.640619483
Altitude	187.06148721744

Triangular Pyramid

Length = n

Surface area	20202.640619483
Volume	1187667.8633894
Height	101.82337649086