Math question: what is the square root of 360 divided by 6, then multiplied by 4, and finally added to 90?

To find the square root of 360, we divide it by 6, yielding √60. Multiplying this by 4 gives 4√60. Adding 90 to this gives 90 + 4√60, which is the final answer.

Question: What is the integer value of x if 360 is divided by (2x + 1) and then multiplied by (x + 5) resulting in a perfect square?

Let's solve this equation step by step. Firstly, let's assume the perfect square is expressed as n^2, where n is a positive integer. We have (360 / (2x + 1)) * (x + 5) = n^2. Rearranging, we get (360 * (x + 5)) / (2x + 1) = n^2. Simplifying further, (180x + 900) / (2x + 1) = n^2. For an integer solution, the numerator (180x + 900) must be a multiple of the denominator (2x + 1). Since both numerator and denominator are divisible by 180, we can simplify: (x + 5) / (2x + 1) = (180 / 1). Solving this equation, we find x = 89. Thus, x = 89 is the integer value that satisfies the condition, resulting in the perfect square (360 / (2*89 + 1)) * (89 + 5) = 324. Hence, the answer is x = 89.

Math question: What is the product of 360 and the square root of the sum of its digits?

To solve this, we need to find the sum of the digits in 360, which is 3 + 6 + 0 = 9. The square root of 9 is 3. Finally, multiplying 360 by 3 gives us 1080. Therefore, the answer is 1080.

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

360 (number)

360 is an even 3-digits composite number following 359 and preceding 361. In scientific notation, it is written as 3.60 × 10^2. The sum of its digits is 9. It has a total of 6 prime factors and 24 positive divisors. There are 96 positive integers (up to 360) that are relatively prime to 360.

Interesting facts

360 has 24 divisors, whose sum is 1170
The reverse of 360 is 063
Previous prime number is 3

Basic properties

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

Name

Name	three hundred sixty

Notation

Scientific notation	3.60 × 10^2
Engineering notation	3.60 × 10^0

Prime Factorization of 360

Prime Factorization 2 × 2 × 2 × 3 × 3 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	30	Product of the distinct prime numbers

The prime factorization of 360 is 2 × 2 × 2 × 3 × 3 × 5. Since it has a total of 6 prime factors.

Most popular turbo-numbers

9, 7, 32, 99, 77, 473, 6879, 2080, 76715, 97172, 126080, 68334, 9354328, 8538792, 9159232, 36776409, 477530710, 849755615, 4050002181, 5617322265

Basic calculations (n = 360)

Multiplication

n×y

n×2	720
n×3	1080
n×4	1440
n×5	1800

Division

n÷y

n÷2	180
n÷3	120
n÷3	90
n÷5	72

Exponentiation

n^y

n²	129600
n³	46656000
n⁴	16796160000
n⁵	6046617600000

Nth Root

^y√n

²√n	18.97366596101
³√n	7.1137866089801
⁴√n	4.3558771746929
⁵√n	3.2453422231992

Divisors of 360

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-359	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	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	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 360 can be divided by 24 positive divisors. The sum of these divisors (counting 360) is 1, the average is 0.041666666666667.

Base conversion 360

Base	System	Value
2	Binary	101101000
3	Ternary	111100
4	Quaternary	11220
5	Quinary	2420
6	Senary	1400
8	Octal	550
10	Decimal	360
12	Duodecimal	260
16	Hexadecimal	168
20	Vigesimal	i0
36	Base36	a0

Cryptographic Hash Functions

md5	e7b24b112a44fdd9ee93bdf998c6ca0e
sha1	a1773d62a609dd09e98ea1aebeddbd949b78bf83
sha256	838f461c2fa673cec73e6eecdafa88b127802d6cb0a61c53175197a122cb645a
sha512	4ab93edabdd30c8209b13cefa76b66d3e9ed0f12d7aee88c289098ff08c2919f355d4e3a154f4dff5343a30b01a97ba5fa2d5f2d083c3e5878d301037aa2c6fc
ripemd-160	d594eaea2133dab7a5f40b862c642415c843ebbc

360 as geometric shapes

Circle

Radius = n

Diameter	720
Circumference	2261.9467105847
Area	407150.40790524

Sphere

Radius = n

Volume	195432195.79451
Surface area	1628601.6316209
Circumference	2261.9467105847

Square

Length = n

Perimeter	1440
Area	129600
Diagonal	509.11688245431

Cube

Length = n

Surface area	777600
Volume	46656000
Space diagonal	623.5382907248

Equilateral Triangle

Length = n

Perimeter	1080
Area	56118.446165232
Altitude	311.7691453624

Triangular Pyramid

Length = n

Surface area	56118.446165232
Volume	5498462.3305066
Height	169.70562748477