Question: What is the sum of all positive integers less than or equal to 990 that are divisible by 5?

To find the sum of integers divisible by 5, we first calculate the number of terms: 990 divided by 5 equals 198 terms. Next, we find the average of these terms by adding the first and the last term together and dividing by 2: (5 + 990) / 2 = 497.5. Now, using the sum formula S = (n/2) * (first term + last term), we calculate the sum: S = (198/2) * (5 + 990) = 99 * 995 = 98,505. Therefore, the sum of all positive integers less than or equal to 990 that are divisible by 5 is 98,505.

Math question: What is the sum of all even numbers from 2 to 990, multiplied by 3, divided by the square root of the product of the first 10 prime numbers?

To find the sum of even numbers from 2 to 990, we 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. Here, a = 2, l = 990, and n = (l - a)/2 + 1. So, n = (990 - 2)/2 + 1 = 495. Now, the sum of all even numbers from 2 to 990 is Sn = (495/2)(2 + 990) = 991,010. To find the first 10 prime numbers, we have 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. The product of these first 10 primes is P = 2 × 3 × 5 × 7 × 11 × 13 × 17 × 19 × 23 × 29 = 646,969. Now, we calculate the square root of P: √646,969 = 803.571. Finally, we multiply the sum of even numbers from 2 to 990 (991,010) by 3 and divide it by the square root of the product of the first 10 prime numbers (803.571) to get 991,010 * 3 / 803.571 ≈ 3,689.79.

Math question: What is the sum of the first 20 multiples of 990?

To find the sum of the first 20 multiples of 990, we first need to calculate the 20th multiple. Since each multiple is obtained by multiplying 990 by consecutive whole numbers, the 20th multiple will be 990 x 20 = 19800. Now, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn represents the sum, n is the number of terms, a is the first term, and l is the last term. In this case, a equals 990, l equals 19800, and n equals 20. Plugging these values into the formula, we have Sn = (20/2)(990 + 19800) = 10 x 20790 = 207900. Therefore, the sum of the first 20 multiples of 990 is 207,900.

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

990 (number)

990 is an even 3-digits composite number following 989 and preceding 991. In scientific notation, it is written as 9.90 × 10^2. The sum of its digits is 18. It has a total of 4 prime factors and 16 positive divisors. There are 240 positive integers (up to 990) that are relatively prime to 990.

Interesting facts

990 has 16 divisors, whose sum is 2304
The reverse of 990 is 099
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 18
Digital Root 9

Name

Name	nine hundred ninety

Notation

Scientific notation	9.90 × 10^2
Engineering notation	9.90 × 10^0

Prime Factorization of 990

Prime Factorization 2 × 15 × 3 × 11

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	990	Product of the distinct prime numbers

The prime factorization of 990 is 2 × 15 × 3 × 11. Since it has a total of 4 prime factors.

Most popular turbo-numbers

10, 10, 83, 7, 575, 566, 8952, 6969, 33488, 14892, 640705, 9076, 2940629, 8505114, 82486409, 34960034, 930796415, 823506304, 154658581, 3537864294

Basic calculations (n = 990)

Multiplication

n×y

n×2	1980
n×3	2970
n×4	3960
n×5	4950

Division

n÷y

n÷2	495
n÷3	330
n÷3	247.5
n÷5	198

Exponentiation

n^y

n²	980100
n³	970299000
n⁴	960596010000
n⁵	950990049900000

Nth Root

^y√n

²√n	31.464265445105
³√n	9.966554934126
⁴√n	5.6093016896138
⁵√n	3.9730775211109

Divisors of 990

1, 2, 3, 6, 11, 15, 22, 30, 33, 45, 66, 90, 165, 330, 495, 990

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-989	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 990 can be divided by 16 positive divisors. The sum of these divisors (counting 990) is 1, the average is 0.0625.

Base conversion 990

Base	System	Value
2	Binary	1111011110
3	Ternary	1100200
4	Quaternary	33132
5	Quinary	12430
6	Senary	4330
8	Octal	1736
10	Decimal	990
12	Duodecimal	6a6
16	Hexadecimal	3de
20	Vigesimal	29a
36	Base36	ri

Cryptographic Hash Functions

md5	4fac9ba115140ac4f1c22da82aa0bc7f
sha1	639d67af2a68eab848d5a1febd5f8d565abb85ba
sha256	fe50b64954720ccb97ff36a6bd105b6c6018565eea17352a8e1c095204ff4e62
sha512	c4095bca57b47a919e9a8f8843edcff894511ae3013f9b6e0089d3af227e759a21e4ff07ac0c91dbf3146aff1bd69d5f5f76357aca086dbaa13506e1d80ef555
ripemd-160	831f1e8bf67818382c9c472a5772df8fe44d84ce

990 as geometric shapes

Circle

Radius = n

Diameter	1980
Circumference	6220.3534541078
Area	3079074.9597834

Sphere

Radius = n

Volume	4064378946.914
Surface area	12316299.839133
Circumference	6220.3534541078

Square

Length = n

Perimeter	3960
Area	980100
Diagonal	1400.0714267494

Cube

Length = n

Surface area	5880600
Volume	970299000
Space diagonal	1714.7302994932

Equilateral Triangle

Length = n

Perimeter	2970
Area	424395.74912456
Altitude	857.36514974659

Triangular Pyramid

Length = n

Surface area	424395.74912456
Volume	114350833.77975
Height	466.69047558312