Math question: What is the sum of the even numbers from 1 to 4540?

To find the sum, we can use the formula for arithmetic series: Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term. Since 4540 is even, the last term would also be even. We can find n by dividing the last term (4540) by the common difference (2) and then adding 1 to account for the first term. n = (4540/2) + 1 = 2271. Now, we can plug the values into the formula: Sn = (2271/2)(2 + 4540) = 2271(4542) = 10,334,982. Therefore, the sum of the even numbers from 1 to 4540 is 10,334,982.

Question: The number 4540 can be expressed in scientific notation as a × 10^n. If a is a positive integer, find the value of n.

To express 4540 in scientific notation, we move the decimal point to the right until there is only one non-zero digit to the left. 4540 = 4.54 × 10^3 Therefore, the value of n in the scientific notation for 4540 is 3. Scientific notation allows us to represent large numbers conveniently by using powers of 10.

What is the sum of the digits of the square root of 4540 rounded to the nearest whole number?

To find the square root of 4540, we start by estimating it as √4500 = 67.08. Looking closely, we can see that the ones digit of the square root must be either 8 or 2. Squaring each possibility, (80)^2 = 6400 and (82)^2 = 6724. Since 4540 falls between these two squares, we can conclude that the ones digit of the square root is 8. To verify the tens digit, we compare 4540 with the square of 68 which is 4624, and since it's greater, the tens digit is indeed 7. Thus, the units digit of the square root of 4540 is 8, and the sum of its digits rounded to the nearest whole number is 7 + 8 = 15.

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

4540 (number)

4540 is an even 4-digits composite number following 4539 and preceding 4541. In scientific notation, it is written as 4.540 × 10^3. The sum of its digits is 13. It has a total of 4 prime factors and 12 positive divisors. There are 1808 positive integers (up to 4540) that are relatively prime to 4540.

Interesting facts

4540 has 12 divisors, whose sum is 9576
The reverse of 4540 is 0454
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	four thousand five hundred forty

Notation

Scientific notation	4.540 × 10^3
Engineering notation	4.540 × 10^3

Prime Factorization of 4540

Prime Factorization 2 × 2 × 5 × 227

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	2270	Product of the distinct prime numbers

The prime factorization of 4540 is 2 × 2 × 5 × 227. Since it has a total of 4 prime factors.

Most popular turbo-numbers

8, 8, 87, 36, 937, 522, 3723, 863, 39642, 63115, 34316, 14410, 3482204, 780860, 16404510, 30306597, 829975699, 261353525, 8753252207, 2088087651

Basic calculations (n = 4540)

Multiplication

n×y

n×2	9080
n×3	13620
n×4	18160
n×5	22700

Division

n÷y

n÷2	2270
n÷3	1513.3333333333
n÷3	1135
n÷5	908

Exponentiation

n^y

n²	20611600
n³	93576664000
n⁴	424838054560000
n⁵	1928764767702400000

Nth Root

^y√n

²√n	67.379522111692
³√n	16.558409456174
⁴√n	8.2085030371982
⁵√n	5.3877963356118

Divisors of 4540

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-4539	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4540 can be divided by 12 positive divisors. The sum of these divisors (counting 4540) is 1, the average is 0.083333333333333.

Base conversion 4540

Base	System	Value
2	Binary	1000110111100
3	Ternary	20020011
4	Quaternary	1012330
5	Quinary	121130
6	Senary	33004
8	Octal	10674
10	Decimal	4540
12	Duodecimal	2764
16	Hexadecimal	11bc
20	Vigesimal	b70
36	Base36	3i4

Cryptographic Hash Functions

md5	0f65caf0a7d00afd2b87c028e88fe931
sha1	21cb91fe07368a0f6619722b30f4f11916fa53b5
sha256	9baa6a7a3b12b993181f9df978ea5de0c4086c05cb4788c0944dd6373ba89c29
sha512	fe5977afc90233df0b3d9083df195776fe05d1d4f8a2b75bfd7cec9697b5b0f82cc394700d5e9e98100dad11e82aa2cc53f6f30d7f60280570eed597621674e5
ripemd-160	5c96d44b20ea19225aef62323faf99c9c5e4d3b9

4540 as geometric shapes

Circle

Radius = n

Diameter	9080
Circumference	28525.661294595
Area	64753251.138731

Sphere

Radius = n

Volume	391973013559.79
Surface area	259013004.55493
Circumference	28525.661294595

Square

Length = n

Perimeter	18160
Area	20611600
Diagonal	6420.5295731739

Cube

Length = n

Surface area	123669600
Volume	93576664000
Space diagonal	7863.5106663627

Equilateral Triangle

Length = n

Perimeter	13620
Area	8925084.6063217
Altitude	3931.7553331814

Triangular Pyramid

Length = n

Surface area	8925084.6063217
Volume	11028115612.536
Height	2140.1765243913