Question: If a new smartphone model costs $190 and the tax rate is 7%, what is the total cost of the smartphone?

To find the total cost, multiply the cost of the smartphone by the tax rate and add the tax amount to the initial cost. Therefore, the tax amount is 7% of $190, which equals $13.30. Adding this to the initial cost of $190 gives us a total cost of $203.30. Thus, the total cost of the smartphone, including sales tax, is $203.30.

Math question: What is the sum of the first 10 positive even numbers greater than 180?

To find the sum, we start with the first even number greater than 180, which is 182. Then we can form an arithmetic sequence with a common difference of 2, as the subsequent even numbers are 184, 186, and so on. The sum of an arithmetic sequence can be found using the 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. Substituting the values into the formula, we have Sn = (10/2)(2(182) + (10-1)(2)). Simplifying, Sn = 5(364 + 18), Sn = 5(382), and finally, Sn = 1910. Therefore, the sum of the first 10 positive even numbers greater than 180 is 1910.

Math Question: What is the solution to the equation (x^2 + 9x) / (x - 10) = 190?

To solve the given equation, we begin by multiplying both sides by (x - 10) to eliminate the denominator. This gives us x^2 + 9x = 190(x - 10). Expanding the right-hand side, we have x^2 + 9x = 190x - 1900. Rearranging the terms, we get x^2 - 181x + 1900 = 0. By factoring or using the quadratic formula, we find the solutions to be x = 170 and x = 11. However, after substituting x = 170 into the original equation, it yields an undefined value, so the only valid solution is x = 11. Therefore, the value of x that satisfies the equation is 11.

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

190 (number)

190 is an even 3-digits composite number following 189 and preceding 191. In scientific notation, it is written as 1.90 × 10^2. The sum of its digits is 10. It has a total of 3 prime factors and 8 positive divisors. There are 72 positive integers (up to 190) that are relatively prime to 190.

Interesting facts

190 has 8 divisors, whose sum is 360
The reverse of 190 is 091
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 10
Digital Root 1

Name

Name	one hundred ninety

Notation

Scientific notation	1.90 × 10^2
Engineering notation	1.90 × 10^0

Prime Factorization of 190

Prime Factorization 2 × 5 × 19

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	190	Product of the distinct prime numbers

The prime factorization of 190 is 2 × 5 × 19. Since it has a total of 3 prime factors.

Most popular turbo-numbers

4, 7, 40, 44, 514, 226, 7454, 8091, 40743, 94979, 571578, 775172, 9850553, 1278868, 81827801, 26632086, 526410355, 608508210, 5070142033, 7067131686

Basic calculations (n = 190)

Multiplication

n×y

n×2	380
n×3	570
n×4	760
n×5	950

Division

n÷y

n÷2	95
n÷3	63.333333333333
n÷3	47.5
n÷5	38

Exponentiation

n^y

n²	36100
n³	6859000
n⁴	1303210000
n⁵	247609900000

Nth Root

^y√n

²√n	13.78404875209
³√n	5.7488970789448
⁴√n	3.7126875376323
⁵√n	2.8559507914147

Divisors of 190

1, 2, 5, 10, 19, 38, 95, 190

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	-189	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 190 can be divided by 8 positive divisors. The sum of these divisors (counting 190) is 1, the average is 0.125.

Base conversion 190

Base	System	Value
2	Binary	10111110
3	Ternary	21001
4	Quaternary	2332
5	Quinary	1230
6	Senary	514
8	Octal	276
10	Decimal	190
12	Duodecimal	13a
16	Hexadecimal	be
20	Vigesimal	9a
36	Base36	5a

Cryptographic Hash Functions

md5	cfecdb276f634854f3ef915e2e980c31
sha1	3a2dc677d8e85ac856541744e288d504882feb36
sha256	2397346b45823e070f6fc72ac94c0a999d234c472479f0e26b30cdf5942db854
sha512	fed283e2751ac7f2e57c4c79a73ba35ba45df1da9806e3eb11fde56385c753b7a4fd11886929de45bcee36924961b65824e5c6af9b5d2845cd3766a1f1314f20
ripemd-160	c1e97671f797febc93d9242703b15e2912cbc38c

190 as geometric shapes

Circle

Radius = n

Diameter	380
Circumference	1193.8052083641
Area	113411.49479459

Sphere

Radius = n

Volume	28730912.01463
Surface area	453645.97917837
Circumference	1193.8052083641

Square

Length = n

Perimeter	760
Area	36100
Diagonal	268.70057685089

Cube

Length = n

Surface area	216600
Volume	6859000
Space diagonal	329.08965343809

Equilateral Triangle

Length = n

Perimeter	570
Area	15631.758538309
Altitude	164.54482671904

Triangular Pyramid

Length = n

Surface area	15631.758538309
Volume	808340.90202642
Height	89.566858950296