Math question: What is the sum of all the odd numbers from 1 to 162?

To find the sum of all odd numbers from 1 to 162, we can use the formula for the sum of an arithmetic series. First, let's determine the number of terms in the series. The largest odd number before 162 is 161. To find the number of terms, we can use the formula (last term - first term)/2 + 1. In this case, ((161 - 1)/2) + 1 = 80. Now that we know there are 80 terms, we can calculate the sum using the formula for the sum of an arithmetic series: S = (n/2)(first term + last term). Plugging in the values, we get S = (80/2)(1 + 161) = 40 * 162 = 6480. Therefore, the sum of all the odd numbers from 1 to 162 is 6480.

Math question: If a number is divided by 9, multiplied by 6, and then added to 27, the result is 162. What is the original number?

Let's denote the unknown number as 'x'. So, according to the given question, we can construct the equation (x/9) * 6 + 27 = 162. Simplifying this equation, we get (6/9)x + 27 = 162, which becomes (2/3)x + 27 = 162 after canceling out the common factor. Next, subtracting 27 from both sides of the equation, we have (2/3)x = 135. To isolate 'x', we multiply both sides by the reciprocal of 2/3, which is 3/2. Thus, (3/2) * (2/3)x = (3/2) * 135, resulting in x = 202.5. Therefore, the original number is 202.5.

Math Question: If the sum of a number and its square is 18018, what is the number?

Let's assume the number is x. The equation can be written as x + x^2 = 18018. Rearranging gives x^2 + x - 18018 = 0. Solving this quadratic equation, we find that x ≈ 133.94 or x ≈ -134.94. However, since the number can't be negative, the solution is x ≈ 133.94. Therefore, the number is approximately 133.94.

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

162 (number)

162 is an even 3-digits composite number following 161 and preceding 163. In scientific notation, it is written as 1.62 × 10^2. The sum of its digits is 9. It has a total of 4 prime factors and 10 positive divisors. There are 54 positive integers (up to 162) that are relatively prime to 162.

Interesting facts

162 has 10 divisors, whose sum is 363
The reverse of 162 is 261
Previous prime number is 3

Basic properties

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

Name

Name	one hundred sixty-two

Notation

Scientific notation	1.62 × 10^2
Engineering notation	1.62 × 10^0

Prime Factorization of 162

Prime Factorization 2 × 9 × 3 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	54	Product of the distinct prime numbers

The prime factorization of 162 is 2 × 9 × 3 × 3. Since it has a total of 4 prime factors.

Most popular turbo-numbers

8, 2, 33, 20, 542, 579, 1400, 1010, 24840, 13734, 914768, 725032, 3293197, 1456358, 64412899, 88759371, 967047535, 573664553, 2625477587, 5894259210

Basic calculations (n = 162)

Multiplication

n×y

n×2	324
n×3	486
n×4	648
n×5	810

Division

n÷y

n÷2	81
n÷3	54
n÷3	40.5
n÷5	32.4

Exponentiation

n^y

n²	26244
n³	4251528
n⁴	688747536
n⁵	111577100832

Nth Root

^y√n

²√n	12.727922061358
³√n	5.4513617784964
⁴√n	3.5676213450082
⁵√n	2.7663237344452

Divisors of 162

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

10 divisors

τ	Total Divisors	10	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-161	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.1	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	10	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 162 can be divided by 10 positive divisors. The sum of these divisors (counting 162) is 1, the average is 0.1.

Base conversion 162

Base	System	Value
2	Binary	10100010
3	Ternary	20000
4	Quaternary	2202
5	Quinary	1122
6	Senary	430
8	Octal	242
10	Decimal	162
12	Duodecimal	116
16	Hexadecimal	a2
20	Vigesimal	82
36	Base36	4i

Cryptographic Hash Functions

md5	82aa4b0af34c2313a562076992e50aa3
sha1	ae1e7198bc3074ff1b2e9ff520c30bc1898d038e
sha256	79d6eaa2676189eb927f2e16a70091474078e2117c3fc607d35cdc6b591ef355
sha512	6ee3743399634e0a721b8ee4e8ad02b96573433aa3b40fc604f274855ff28ab391720d2157376542da3ebf2dacb020f37b7277417f6f4fe137d6301c0d20107a
ripemd-160	f58de9a93eb4a433b92744603b8d4fc6375ae626

162 as geometric shapes

Circle

Radius = n

Diameter	324
Circumference	1017.8760197631
Area	82447.957600811

Sphere

Radius = n

Volume	17808758.841775
Surface area	329791.83040324
Circumference	1017.8760197631

Square

Length = n

Perimeter	648
Area	26244
Diagonal	229.10259710444

Cube

Length = n

Surface area	157464
Volume	4251528
Space diagonal	280.59223082616

Equilateral Triangle

Length = n

Perimeter	486
Area	11363.985348459
Altitude	140.29611541308

Triangular Pyramid

Length = n

Surface area	11363.985348459
Volume	501047.37986741
Height	76.367532368147