Math question: What is the sum of the first 10 positive multiples of 27?

To find the sum, we can apply the arithmetic progression formula: Sn = (n/2)(2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. In this case, since we're looking for multiples of 27, a = 27 and d = 27. The number of terms, n, is 10. Substituting these values into the formula, we have: Sn = (10/2)(2(27) + (10-1)27) = 5(54 + 9(27)) = 5(54 + 243) = 5(297) = 1485. Therefore, the sum of the first 10 positive multiples of 27 is 1485.

Question: What is the result of adding 4 times the square root of 27 to 3 raised to the power of the cube root of 27 minus the natural logarithm of 27?

To solve this, we start by finding the square root of 27, which is approximately 5.196. Multiplying it by 4 gives us 20.785. Next, we find the cube root of 27, which is approximately 3. Then, we raise 3 to the power of 3, resulting in 27. Taking the natural logarithm of 27 yields approximately 3.296. Finally, subtracting 3.296 from 27 gives us the value of 23.704. Thus, the answer is 20.785 + 23.704 = 44.489.

Math question: What is the sum of the first 10 positive odd numbers starting from the number 27?

To find the sum, we can use the formula for the sum of an arithmetic series. The first term, a, is 27, the common difference, d, is 2, and we need to find the 10th term, which is a + (n - 1) * d, where n is the number of terms. Plugging in the values, the 10th term is 27 + (10 - 1) * 2 = 27 + 9 * 2 = 27 + 18 = 45. Now we can use the formula for the sum of the series, S = (n/2)(a + l), where S is the sum, a is the first term, l is the last term, and n is the number of terms. In this case, the sum is (10/2)(27 + 45) = 5 * 72 = 360. Therefore, the sum of the first 10 positive odd numbers starting from 27 is 360.

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

27 (number)

27 is an odd 2-digits composite number following 26 and preceding 28. In scientific notation, it is written as 2.7 × 10^1. The sum of its digits is 9. It has a total of 3 prime factors and 4 positive divisors. There are 18 positive integers (up to 27) that are relatively prime to 27.

Interesting facts

27 has 4 divisors, whose sum is 40
The reverse of 27 is 72
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 2
Sum of Digits 9
Digital Root 9

Name

Name	twenty-seven

Notation

Scientific notation	2.7 × 10^1
Engineering notation	2.7 × 10^0

Prime Factorization of 27

Prime Factorization 3 × 3 × 3

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	3	Product of the distinct prime numbers

The prime factorization of 27 is 3 × 3 × 3. Since it has a total of 3 prime factors.

Most popular turbo-numbers

2, 9, 51, 7, 357, 722, 6836, 6002, 1808, 17413, 522481, 356287, 4749228, 1597082, 55454419, 69460640, 226930894, 719273149, 1578851126, 545120583

Basic calculations (n = 27)

Multiplication

n×y

n×2	54
n×3	81
n×4	108
n×5	135

Division

n÷y

n÷2	13.5
n÷3	9
n÷3	6.75
n÷5	5.4

Exponentiation

n^y

n²	729
n³	19683
n⁴	531441
n⁵	14348907

Nth Root

^y√n

²√n	5.1961524227066
³√n	3
⁴√n	2.2795070569548
⁵√n	1.9331820449318

Divisors of 27

1, 3, 9, 27

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-26	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 27 can be divided by 4 positive divisors. The sum of these divisors (counting 27) is 1, the average is 0.25.

Base conversion 27

Base	System	Value
2	Binary	11011
3	Ternary	1000
4	Quaternary	123
5	Quinary	102
6	Senary	43
8	Octal	33
10	Decimal	27
12	Duodecimal	23
16	Hexadecimal	1b
20	Vigesimal	17
36	Base36	r

Cryptographic Hash Functions

md5	02e74f10e0327ad868d138f2b4fdd6f0
sha1	bc33ea4e26e5e1af1408321416956113a4658763
sha256	670671cd97404156226e507973f2ab8330d3022ca96e0c93bdbdb320c41adcaf
sha512	14f70566435cea4309176ad6a8aebb69ac8f99e9e211df66227522b5bb37c7a52e1f4de42543e4bb5346dbce23a636c7237a42e67ff4888befcc2167f7c2b451
ripemd-160	2c73160dd729a4dff7b1e87d4cd7123456c91a96

27 as geometric shapes

Circle

Radius = n

Diameter	54
Circumference	169.64600329385
Area	2290.221044467

Sphere

Radius = n

Volume	82447.957600811
Surface area	9160.8841778678
Circumference	169.64600329385

Square

Length = n

Perimeter	108
Area	729
Diagonal	38.183766184074

Cube

Length = n

Surface area	4374
Volume	19683
Space diagonal	46.76537180436

Equilateral Triangle

Length = n

Perimeter	81
Area	315.66625967943
Altitude	23.38268590218

Triangular Pyramid

Length = n

Surface area	315.66625967943
Volume	2319.6637956825
Height	12.727922061358