Question: Find the area of a square field, if the length of each side is 180 meters. (200 characters)

To find the area of a square, we need to square the length of its side. So, the area of the field is 180 meters multiplied by 180 meters, which equals 32,400 square meters. (271 characters)

Question: The sum of a number and its square is equal to 180. Find the number.

Let the number be x. Based on the given information, we can write the equation x + x^2 = 180. Rearranging this equation, we have x^2 + x - 180 = 0. Using quadratic formula, x = (-1 ± √(1 + 4*180))/2. Since x can't be negative, we take the positive value only. Solving, we get x ≈ 12.35.

Question: A triangle has two sides measuring 50 units each. If the included angle between these sides is 120 degrees, what is the length of the third side? (180 characters)

To find the length of the third side, we use the Law of Cosines. Let c represent the length of the third side. Applying the formula c² = a² + b² - 2ab*cos(C), where a and b are the known sides (50 units) and C is the included angle (120 degrees), we get c² = 50² + 50² - 2(50)(50)*cos(120°). Evaluating this equation, c² = 5000 + 5000 - 5000*(-0.5). Simplifying, c² = 10000 + 2500 = 12500. Taking the square root of both sides, we obtain c = √12500 ≈ 111.8 units. Thus, the length of the third side is approximately 111.8 units. (492 characters)

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

180 (number)

180 is an even 3-digits composite number following 179 and preceding 181. In scientific notation, it is written as 1.80 × 10^2. The sum of its digits is 9. It has a total of 5 prime factors and 18 positive divisors. There are 48 positive integers (up to 180) that are relatively prime to 180.

Interesting facts

180 has 18 divisors, whose sum is 546
The reverse of 180 is 081
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	one hundred eighty

Notation

Scientific notation	1.80 × 10^2
Engineering notation	1.80 × 10^0

Prime Factorization of 180

Prime Factorization 2 × 2 × 5 × 3 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	30	Product of the distinct prime numbers

The prime factorization of 180 is 2 × 2 × 5 × 3 × 3. Since it has a total of 5 prime factors.

Most popular turbo-numbers

5, 8, 24, 19, 977, 607, 5028, 3063, 20299, 72980, 958411, 509554, 7587055, 8654836, 89967033, 78262849, 699986819, 870219799, 8246340359, 4674664354

Basic calculations (n = 180)

Multiplication

n×y

n×2	360
n×3	540
n×4	720
n×5	900

Division

n÷y

n÷2	90
n÷3	60
n÷3	45
n÷5	36

Exponentiation

n^y

n²	32400
n³	5832000
n⁴	1049760000
n⁵	188956800000

Nth Root

^y√n

²√n	13.416407864999
³√n	5.6462161732862
⁴√n	3.6628415014847
⁵√n	2.8252345004948

Divisors of 180

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

18 divisors

τ	Total Divisors	18	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-179	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.055555555555556	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	18	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 180 can be divided by 18 positive divisors. The sum of these divisors (counting 180) is 1, the average is 0.055555555555556.

Base conversion 180

Base	System	Value
2	Binary	10110100
3	Ternary	20200
4	Quaternary	2310
5	Quinary	1210
6	Senary	500
8	Octal	264
10	Decimal	180
12	Duodecimal	130
16	Hexadecimal	b4
20	Vigesimal	90
36	Base36	50

Cryptographic Hash Functions

md5	045117b0e0a11a242b9765e79cbf113f
sha1	ec7f1f65067126f3b2bd1037de8a18d0db2ec84b
sha256	7b69759630f869f2723875f873935fed29d2d12b10ef763c1c33b8e0004cb405
sha512	1f748a9c15bdf0a5e3be241ac0b8ef75e4c0c339e9550c9f8fa342778c620ac88de6edd42b61398e72bea045b27649ef7992ae5ed0e0b162cd9f1aa71686a222
ripemd-160	5807c242c48bcc03ccaa56e4b269c865087de3ba

180 as geometric shapes

Circle

Radius = n

Diameter	360
Circumference	1130.9733552923
Area	101787.60197631

Sphere

Radius = n

Volume	24429024.474314
Surface area	407150.40790524
Circumference	1130.9733552923

Square

Length = n

Perimeter	720
Area	32400
Diagonal	254.55844122716

Cube

Length = n

Surface area	194400
Volume	5832000
Space diagonal	311.7691453624

Equilateral Triangle

Length = n

Perimeter	540
Area	14029.611541308
Altitude	155.8845726812

Triangular Pyramid

Length = n

Surface area	14029.611541308
Volume	687307.79131332
Height	84.852813742386