Question: A number is multiplied by 5, then divided by 4, and the result is subtracted from 900 to give a final value of 2000. What is the original number?

Let's assume the original number is x. According to the given conditions: (900 - (5x/4)) = 2000 Simplifying the equation: 900 - (5x/4) = 2000 Multiplying both sides of the equation by 4 to eliminate the fraction: 3600 - 5x = 8000 Subtracting 3600 from both sides to isolate -5x: -5x = 4400 Dividing both sides of the equation by -5 to find x: x = 4400 / -5 Thus, the original number is -880. Explanation: To find the original number, we set up an equation based on the conditions mentioned. We use algebraic operations to simplify the equation and isolate the variable x. By substituting the values, we determine that the original number is -880.

Question: If a student at a school receives a grade of 85% on a math test, and the maximum possible score is 100%, what is the percentage difference between the student's grade and the maximum score?

To determine the percentage difference, subtract the student's grade of 85% from the maximum score of 100%, resulting in 100% - 85% = 15%. This means that the student's grade is 15% lower than the maximum possible score.

Question: What is the sum of all positive even integers between 1000 and 2000 inclusive?

To find the sum, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. For even integers, the first term is 1000, the last term is 2000, and the common difference is 2. The number of terms can be calculated using the formula n = ((l - a) / d) + 1, where d is the common difference. Substituting the values, we get n = ((2000 - 1000) / 2) + 1 = 501. Now, we can plug the values into the sum formula: Sn = (501/2)(1000 + 2000) = 501 * 1500 = 751,500. Therefore, the sum of all positive even integers between 1000 and 2000 inclusive is 751,500.

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

2000 (number)

2000 is an even 4-digits composite number following 1999 and preceding 2001. In scientific notation, it is written as 2.000 × 10^3. The sum of its digits is 2. It has a total of 7 prime factors and 20 positive divisors. There are 800 positive integers (up to 2000) that are relatively prime to 2000.

Interesting facts

2000 has 20 divisors, whose sum is 4836
The reverse of 2000 is 0002
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 2
Digital Root 2

Name

Name	two thousand

Notation

Scientific notation	2.000 × 10^3
Engineering notation	2.000 × 10^3

Prime Factorization of 2000

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

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	7	Total number of prime factors
rad	Radical	10	Product of the distinct prime numbers

The prime factorization of 2000 is 2 × 2 × 2 × 2 × 5 × 5 × 5. Since it has a total of 7 prime factors.

Most popular turbo-numbers

9, 1, 17, 3, 174, 993, 6094, 7395, 54949, 12242, 758851, 680394, 2884946, 5509505, 6156165, 41737779, 928882656, 504930889, 5754518446, 4098932415

Basic calculations (n = 2000)

Multiplication

n×y

n×2	4000
n×3	6000
n×4	8000
n×5	10000

Division

n÷y

n÷2	1000
n÷3	666.66666666667
n÷3	500
n÷5	400

Exponentiation

n^y

n²	4000000
n³	8000000000
n⁴	16000000000000
n⁵	32000000000000000

Nth Root

^y√n

²√n	44.721359549996
³√n	12.599210498949
⁴√n	6.6874030497642
⁵√n	4.5730505192733

Divisors of 2000

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000

20 divisors

τ	Total Divisors	20	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1999	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.05	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	20	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2000 can be divided by 20 positive divisors. The sum of these divisors (counting 2000) is 1, the average is 0.05.

Base conversion 2000

Base	System	Value
2	Binary	11111010000
3	Ternary	2202002
4	Quaternary	133100
5	Quinary	31000
6	Senary	13132
8	Octal	3720
10	Decimal	2000
12	Duodecimal	11a8
16	Hexadecimal	7d0
20	Vigesimal	500
36	Base36	1jk

Cryptographic Hash Functions

md5	08f90c1a417155361a5c4b8d297e0d78
sha1	a4ac914c09d7c097fe1f4f96b897e625b6922069
sha256	81a83544cf93c245178cbc1620030f1123f435af867c79d87135983c52ab39d9
sha512	57acf66b146e4f606413e8707ffae882a5ea0228de3455c8efffd439f6ef1a2a04eec109d2879bf64c1d7e05cdd808a14db5c5b0f6a4ccf758d0c998058b53cd
ripemd-160	dccbf3f86f8f749f1c5f88abcfddbd3138723f92

2000 as geometric shapes

Circle

Radius = n

Diameter	4000
Circumference	12566.370614359
Area	12566370.614359

Sphere

Radius = n

Volume	33510321638.291
Surface area	50265482.457437
Circumference	12566.370614359

Square

Length = n

Perimeter	8000
Area	4000000
Diagonal	2828.4271247462

Cube

Length = n

Surface area	24000000
Volume	8000000000
Space diagonal	3464.1016151378

Equilateral Triangle

Length = n

Perimeter	6000
Area	1732050.8075689
Altitude	1732.0508075689

Triangular Pyramid

Length = n

Surface area	1732050.8075689
Volume	942809041.58206
Height	942.80904158206