Math question: What is the sum of the prime numbers between 30 and 90?

To find the sum of prime numbers between 30 and 90, we list the primes within this range: 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, and 89. By adding these primes, we get the sum: 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 = 791. Therefore, the sum of prime numbers between 30 and 90 is 791.

Question: If a number is multiplied by 3, increased by 20, and divided by 2, the result is 90. What is the number?

Let's represent the unknown number as x. According to the given equation, we can form the expression (3x + 20)/2 = 90. To solve for x, we multiply both sides of the equation by 2 to eliminate the division, resulting in 3x + 20 = 180. Next, we subtract 20 from both sides to isolate 3x, which gives us 3x = 160. Finally, by dividing both sides by 3, we find x = 160/3 ≈ 53.333 (rounded to three decimal places). Therefore, the unknown number is approximately 53.333.

Math question: What is the sum of all integers from 1 to 90?

To find the sum of all integers from 1 to 90, we can use the formula for the sum of an arithmetic series which is given by Sn = n/2 * (a + l), where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term. Here, a = 1, l = 90, and the number of terms can be obtained using the formula n = (l - a) + 1. Plugging these values, n = (90 - 1) + 1 = 90. Calculating Sn = 90/2 * (1 + 90) = 45 * 91 = 4095. Therefore, the sum of all integers from 1 to 90 is 4095.

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

90 (number)

90 is an even 2-digits composite number following 89 and preceding 91. In scientific notation, it is written as 9.0 × 10^1. The sum of its digits is 9. It has a total of 3 prime factors and 8 positive divisors. There are 24 positive integers (up to 90) that are relatively prime to 90.

Interesting facts

90 has 8 divisors, whose sum is 192
The reverse of 90 is 09
Previous prime number is 15

Basic properties

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

Name

Name	ninety

Notation

Scientific notation	9.0 × 10^1
Engineering notation	9.0 × 10^0

Prime Factorization of 90

Prime Factorization 2 × 15 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	90	Product of the distinct prime numbers

The prime factorization of 90 is 2 × 15 × 3. Since it has a total of 3 prime factors.

Most popular turbo-numbers

4, 2, 61, 29, 166, 348, 1180, 6714, 98826, 39242, 103547, 525815, 6468223, 879322, 27741982, 60133042, 290960759, 586581271, 9030408157, 4214851894

Basic calculations (n = 90)

Multiplication

n×y

n×2	180
n×3	270
n×4	360
n×5	450

Division

n÷y

n÷2	45
n÷3	30
n÷3	22.5
n÷5	18

Exponentiation

n^y

n²	8100
n³	729000
n⁴	65610000
n⁵	5904900000

Nth Root

^y√n

²√n	9.4868329805051
³√n	4.4814047465572
⁴√n	3.080070288241
⁵√n	2.4595094858494

Divisors of 90

1, 2, 3, 6, 15, 30, 45, 90

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-89	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 90 can be divided by 8 positive divisors. The sum of these divisors (counting 90) is 1, the average is 0.125.

Base conversion 90

Base	System	Value
2	Binary	1011010
3	Ternary	10100
4	Quaternary	1122
5	Quinary	330
6	Senary	230
8	Octal	132
10	Decimal	90
12	Duodecimal	76
16	Hexadecimal	5a
20	Vigesimal	4a
36	Base36	2i

Cryptographic Hash Functions

md5	8613985ec49eb8f757ae6439e879bb2a
sha1	2d0c8af807ef45ac17cafb2973d866ba8f38caa9
sha256	69f59c273b6e669ac32a6dd5e1b2cb63333d8b004f9696447aee2d422ce63763
sha512	62b09abf6d9f2846c1785343a14449c125b8955c2445171a8bd76af58c874fdf1552070145ead76e36da2869c740b98a5ee900d87403ece014ca438fbdabaac5
ripemd-160	f56ee3f73b8b5ea19883b5c1018b891914bee291

90 as geometric shapes

Circle

Radius = n

Diameter	180
Circumference	565.48667764616
Area	25446.900494077

Sphere

Radius = n

Volume	3053628.0592893
Surface area	101787.60197631
Circumference	565.48667764616

Square

Length = n

Perimeter	360
Area	8100
Diagonal	127.27922061358

Cube

Length = n

Surface area	48600
Volume	729000
Space diagonal	155.8845726812

Equilateral Triangle

Length = n

Perimeter	270
Area	3507.402885327
Altitude	77.942286340599

Triangular Pyramid

Length = n

Surface area	3507.402885327
Volume	85913.473914166
Height	42.426406871193