What is the prime factorization of the number 2160, and how many factors does it have?

The prime factorization of 2160 is 2^4 × 3^3 × 5. This can be found by dividing the number successively by prime factors until only primes remain. In this case, dividing 2160 by 2 results in 2 × 1080, then 2 × 2 × 540, then 2 × 2 × 2 × 270, and finally 2 × 2 × 2 × 3 × 90. Dividing 90 by 2 again gives 2 × 2 × 2 × 3 × 3 × 15. We continue dividing by 3, resulting in 2 × 2 × 2 × 3 × 3 × 3 × 5, and no further divisions are possible. Hence, the prime factorization of 2160 is 2^4 × 3^3 × 5. To find the total number of factors, we consider the exponents of the prime factors. In this case, we have exponent 4 for 2, 3 for 3, and 1 for 5. To determine the total number of factors, we add 1 to each exponent and multiply these results. Thus, (4 + 1) × (3 + 1) × (1 + 1) = 5 × 4 × 2 = 40. Therefore, the number 2160 has 40 factors in total.

Math Question: A rectangle has a length of 54 units and a width of 40 units. What is the area of the rectangle?

The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of this rectangle is 2160 square units (54 * 40 = 2160). A rectangle with a length of 54 units and a width of 40 units will cover a total area of 2160 square units.

Math Question: What is the sum of all prime factors of the number 2160?

To find the prime factors of 2160, we can write it in its prime factorization form: 2^4 * 3^3 * 5. Since the sum of prime factors represents the sum of exponents, the sum becomes 4 + 3 + 1 = 8. Hence, the sum of prime factors of 2160 is 8.

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

2160 (number)

2160 is an even 4-digits composite number following 2159 and preceding 2161. In scientific notation, it is written as 2.160 × 10^3. The sum of its digits is 9. It has a total of 8 prime factors and 40 positive divisors. There are 576 positive integers (up to 2160) that are relatively prime to 2160.

Interesting facts

2160 has 40 divisors, whose sum is 7440
The reverse of 2160 is 0612
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	two thousand one hundred sixty

Notation

Scientific notation	2.160 × 10^3
Engineering notation	2.160 × 10^3

Prime Factorization of 2160

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

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	30	Product of the distinct prime numbers

The prime factorization of 2160 is 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5. Since it has a total of 8 prime factors.

Most popular turbo-numbers

10, 1, 24, 35, 959, 105, 8027, 2196, 30796, 78333, 510143, 172844, 5247878, 910804, 38582265, 76820358, 572925422, 178990193, 3635756892, 5863806537

Basic calculations (n = 2160)

Multiplication

n×y

n×2	4320
n×3	6480
n×4	8640
n×5	10800

Division

n÷y

n÷2	1080
n÷3	720
n÷3	540
n÷5	432

Exponentiation

n^y

n²	4665600
n³	10077696000
n⁴	21767823360000
n⁵	47018498457600000

Nth Root

^y√n

²√n	46.475800154489
³√n	12.926608140191
⁴√n	6.817316198805
⁵√n	4.6439843790035

Divisors of 2160

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160

40 divisors

τ	Total Divisors	40	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2159	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.025	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	40	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2160 can be divided by 40 positive divisors. The sum of these divisors (counting 2160) is 1, the average is 0.025.

Base conversion 2160

Base	System	Value
2	Binary	100001110000
3	Ternary	2222000
4	Quaternary	201300
5	Quinary	32120
6	Senary	14000
8	Octal	4160
10	Decimal	2160
12	Duodecimal	1300
16	Hexadecimal	870
20	Vigesimal	580
36	Base36	1o0

Cryptographic Hash Functions

md5	1819932ff5cf474f4f19e7c7024640c2
sha1	e651d1b3c25e90fb16c3c6cc0ffc88b56eaff0f7
sha256	fa66df2f99cec3fe2cb72c2286083c4cbf0897f9697d0a63f142a46138610a86
sha512	65f21038033a8c222a0be18bd72d04aec86e3b4cc579d34645a10275e87df66809e4394652b0579200d6f74d18cff2971db5abad3ce7537a5c40384af160f38b
ripemd-160	0dc94e34ab456fc320d9f4d44475716980205fbf

2160 as geometric shapes

Circle

Radius = n

Diameter	4320
Circumference	13571.680263508
Area	14657414.684589

Sphere

Radius = n

Volume	42213354291.615
Surface area	58629658.738354
Circumference	13571.680263508

Square

Length = n

Perimeter	8640
Area	4665600
Diagonal	3054.7012947259

Cube

Length = n

Surface area	27993600
Volume	10077696000
Space diagonal	3741.2297443488

Equilateral Triangle

Length = n

Perimeter	6480
Area	2020264.0619483
Altitude	1870.6148721744

Triangular Pyramid

Length = n

Surface area	2020264.0619483
Volume	1187667863.3894
Height	1018.2337649086