Math question: If a company has 2880 employees and wants to divide them equally into teams, such that each team has the maximum number of members, how many teams can be formed?

To find the number of teams, we need to determine the factors of 2880. Prime factorizing the number, we get 2880 = 2^6 * 3^2* 5. To form the largest teams, we need to divide the number equally among the factors. Therefore, the number of teams that can be formed would be (6+1)(2+1)(1+1) = 7*3*2 = 42 teams. Each team would consist of 2880/42 = 68.57 (approximately 69) members.

Math question: How many different ways can the number 2880 be expressed as the product of two positive integers?

The number 2880 can be written as the product of two positive integers in multiple ways. Let's find all the possible pairs (a, b) such that a * b = 2880. To begin, we can see that 2880 can be factored as 2^6 * 3^2 * 5^1. Therefore, we have the following options for exponents: (6, 0, 0), (3, 2, 0), (2, 1, 1), (1, 2, 1), (0, 4, 1), (0, 0, 2), (0, 2, 2), (0, 1, 4), (0, 3, 0), (0, 0, 0, 1). Using these exponents, we can generate all the possible pairs (a, b) by assigning different powers to the prime factors. For example, when the exponents are (6, 0, 0), the pair (2^6, 1) gives us 64 * 1 = 2880. Similarly, when the exponents are (3, 2, 0), the pair (2^3 * 3^2, 1) results in 216 * 1 = 2880. By combining all possible pairs, we find that there are a total of 64 different ways to express 2880 as the product of two positive integers.

Question: If 2 pipes work together and fill a tank in 24 hours, pipe A can fill it alone in 40 hours, and pipe B can fill it alone in x hours, what is the value of x?

Let's find the rate at which the two pipes fill the tank together. In 24 hours, they fill 1 tank, so their combined rate is 1/24 tanks per hour. Pipe A can fill the tank in 40 hours, so its rate is 1/40 tanks per hour. Let's denote pipe B's rate as 1/x tanks per hour. Together, they have a combined rate of 1/24 tanks per hour. Thus: 1/40 + 1/x = 1/24 Now, let's solve this equation for x. Multiply all terms by the least common denominator of 120x: 3x + 120 = 5x 120 = 2x x = 60 Therefore, pipe B can fill the tank alone in 60 hours.

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

2880 (number)

2880 is an even 4-digits composite number following 2879 and preceding 2881. In scientific notation, it is written as 2.880 × 10^3. The sum of its digits is 18. It has a total of 8 prime factors and 28 positive divisors. There are 768 positive integers (up to 2880) that are relatively prime to 2880.

Interesting facts

2880 has 28 divisors, whose sum is 7620
The reverse of 2880 is 0882
Previous prime number is 9

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	two thousand eight hundred eighty

Notation

Scientific notation	2.880 × 10^3
Engineering notation	2.880 × 10^3

Prime Factorization of 2880

Prime Factorization 2 × 2 × 2 × 2 × 2 × 2 × 9 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	90	Product of the distinct prime numbers

The prime factorization of 2880 is 2 × 2 × 2 × 2 × 2 × 2 × 9 × 5. Since it has a total of 8 prime factors.

Most popular turbo-numbers

8, 10, 24, 80, 563, 317, 5011, 9911, 9515, 12106, 922576, 367266, 416546, 2407210, 98528191, 25498635, 45937617, 100508194, 738852878, 8350262455

Basic calculations (n = 2880)

Multiplication

n×y

n×2	5760
n×3	8640
n×4	11520
n×5	14400

Division

n÷y

n÷2	1440
n÷3	960
n÷3	720
n÷5	576

Exponentiation

n^y

n²	8294400
n³	23887872000
n⁴	68797071360000
n⁵	198135565516800000

Nth Root

^y√n

²√n	53.665631459995
³√n	14.22757321796
⁴√n	7.3256830029694
⁵√n	4.9190189716987

Divisors of 2880

1, 2, 4, 5, 8, 9, 10, 16, 18, 20, 32, 36, 40, 45, 64, 72, 80, 90, 144, 160, 180, 288, 320, 360, 576, 720, 1440, 2880

28 divisors

τ	Total Divisors	28	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2879	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.035714285714286	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	28	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2880 can be divided by 28 positive divisors. The sum of these divisors (counting 2880) is 1, the average is 0.035714285714286.

Base conversion 2880

Base	System	Value
2	Binary	101101000000
3	Ternary	10221200
4	Quaternary	231000
5	Quinary	43010
6	Senary	21200
8	Octal	5500
10	Decimal	2880
12	Duodecimal	1800
16	Hexadecimal	b40
20	Vigesimal	740
36	Base36	280

Cryptographic Hash Functions

md5	c61f571dbd2fb949d3fe5ae1608dd48b
sha1	8742c668ee52f7cbe5181d609ff800f3a37492c5
sha256	bffb5fb92a47fe78c6f42919f17fb950f38d824de5cc5565d9f2c24ed08cae2f
sha512	a1f2730181fd3efd4b72e8e5880b8f78c98e9d94c8bba5bbd2da6ac53d909e62fd0ec2bab127eaf7680368cf38990735b037b83a8c5325dd9ea5f20c32acc899
ripemd-160	f7b67c3c75ecee08f7308c538261da72b15dac8f

2880 as geometric shapes

Circle

Radius = n

Diameter	5760
Circumference	18095.573684677
Area	26057626.105935

Sphere

Radius = n

Volume	100061284246.79
Surface area	104230504.42374
Circumference	18095.573684677

Square

Length = n

Perimeter	11520
Area	8294400
Diagonal	4072.9350596345

Cube

Length = n

Surface area	49766400
Volume	23887872000
Space diagonal	4988.3063257984

Equilateral Triangle

Length = n

Perimeter	8640
Area	3591580.5545748
Altitude	2494.1531628992

Triangular Pyramid

Length = n

Surface area	3591580.5545748
Volume	2815212713.2194
Height	1357.6450198782