Math question: What is the square root of 8100 divided by the sum of the first 10 prime numbers minus the difference between 1000 and 500?

To find the answer, we first calculate the sum of the first 10 prime numbers (2+3+5+7+11+13+17+19+23+29 = 129). Then, we find the difference between 1000 and 500 (1000 - 500 = 500). Next, we divide the square root of 8100 by the sum of the prime numbers minus the difference (sqrt(8100) / (129 - 500)). This simplifies to: (90/(-371)). Thus, the answer is approximately -0.2429.

Math question: What is the sum of the natural numbers from 1 to 90, excluding multiples of 5, and then multiplied by 9?

To find the sum of the natural numbers from 1 to 90 excluding multiples of 5, we first calculate the sum of all the numbers from 1 to 90, which can be done using the arithmetic series formula: S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. Since a = 1, l = 90, and n = (90-1)/1 + 1 = 90, plug these values into the formula: S1 = (90/2)(1 + 90) = 90(91)/2 = 4095. Now, let's find the sum of the multiples of 5 in the range using the arithmetic series formula: a = 5, l = 90 - (90 mod 5) = 90 - 0 = 90, and d = 5 (common difference). The number of terms is (l - a)/d + 1 = (90-5)/5 + 1 = 18 + 1 = 19. Hence, S2 = (19/2)(5 + 90) = 19(95)/2 = 902. To get the desired sum, we subtract S2 from S1: 4095 - 902 = 3193. Finally, multiplying this result by 9 gives us: 3193 * 9 = 28737. Therefore, the answer is 28737.

Math question: If a box contains 8100 small cubes and each row of cubes forms a square, how many complete rows are there?

To find the number of complete rows, we need to determine the largest perfect square less than or equal to 8100. The largest perfect square less than 8100 is 81^2 = 6561. Since each row is a square, the number of complete rows is √6561 = 81. Therefore, there are 81 complete rows of small cubes in the box containing 8100 cubes. Each row would have 81 cubes, forming a total of 6561 cubes.

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

8100 (number)

8100 is an even 4-digits composite number following 8099 and preceding 8101. In scientific notation, it is written as 8.100 × 10^3. The sum of its digits is 9. It has a total of 6 prime factors and 36 positive divisors. There are 2160 positive integers (up to 8100) that are relatively prime to 8100.

Interesting facts

8100 has 36 divisors, whose sum is 24304
The reverse of 8100 is 0018
Previous prime number is 5

Basic properties

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

Name

Name	eight thousand one hundred

Notation

Scientific notation	8.100 × 10^3
Engineering notation	8.100 × 10^3

Prime Factorization of 8100

Prime Factorization 2 × 2 × 3 × 27 × 5 × 5

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	810	Product of the distinct prime numbers

The prime factorization of 8100 is 2 × 2 × 3 × 27 × 5 × 5. Since it has a total of 6 prime factors.

Most popular turbo-numbers

8, 3, 99, 44, 737, 454, 3462, 4916, 37973, 90343, 138809, 708174, 7310158, 9702562, 52471661, 647854, 627084934, 659254734, 8915761123, 4497409585

Basic calculations (n = 8100)

Multiplication

n×y

n×2	16200
n×3	24300
n×4	32400
n×5	40500

Division

n÷y

n÷2	4050
n÷3	2700
n÷3	2025
n÷5	1620

Exponentiation

n^y

n²	65610000
n³	531441000000
n⁴	4304672100000000
n⁵	3.486784401E+19

Nth Root

^y√n

²√n	90
³√n	20.082988502465
⁴√n	9.4868329805051
⁵√n	6.049186910983

Divisors of 8100

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 27, 30, 50, 54, 60, 75, 81, 100, 108, 135, 150, 162, 270, 300, 324, 405, 540, 675, 810, 1350, 1620, 2025, 2700, 4050, 8100

36 divisors

τ	Total Divisors	36	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-8099	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.027777777777778	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	36	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8100 can be divided by 36 positive divisors. The sum of these divisors (counting 8100) is 1, the average is 0.027777777777778.

Base conversion 8100

Base	System	Value
2	Binary	1111110100100
3	Ternary	102010000
4	Quaternary	1332210
5	Quinary	224400
6	Senary	101300
8	Octal	17644
10	Decimal	8100
12	Duodecimal	4830
16	Hexadecimal	1fa4
20	Vigesimal	1050
36	Base36	690

Cryptographic Hash Functions

md5	9cea886b9f44a3c2df1163730ab64994
sha1	94ea7db71daea81d8b156eff10e4e1621414ebfe
sha256	936f6af81f1f8fd9318cfde987bcf123ec996fcae1c7bd1cb09416eb52eb1ee8
sha512	1fe40988c6e347080de4bd0cd8e4ee6c7fe00ecfa2835cfb26f45eeab4b479e26f413b3b6ef2f021c4a2831b4a5c07d6cf6fbb5e40e3c61a024bda5a7c672431
ripemd-160	5496862e57530a7e85024fd64b961724ce5e07a1

8100 as geometric shapes

Circle

Radius = n

Diameter	16200
Circumference	50893.800988155
Area	206119894.00203

Sphere

Radius = n

Volume	2226094855221.9
Surface area	824479576.00811
Circumference	50893.800988155

Square

Length = n

Perimeter	32400
Area	65610000
Diagonal	11455.129855222

Cube

Length = n

Surface area	393660000
Volume	531441000000
Space diagonal	14029.611541308

Equilateral Triangle

Length = n

Perimeter	24300
Area	28409963.371149
Altitude	7014.805770654

Triangular Pyramid

Length = n

Surface area	28409963.371149
Volume	62630922483.427
Height	3818.3766184074