Math Question: If a number is divisible by both 3 and 11, what is the smallest three-digit positive integer greater than 132 that satisfies this condition?

To find the smallest three-digit positive integer greater than 132 that is divisible by both 3 and 11, we need to determine the least common multiple (LCM) of 3 and 11. To start, let's list the multiples of 3 and 11: Multiples of 3: 3, 6, 9, 12, 15, ... Multiples of 11: 11, 22, 33, 44, ... By observing the list, we notice that 33 is the first number to appear in both lists, making it the least common multiple of 3 and 11. However, since we want a number greater than 132, we need to find the next multiple of 33. Multiples of 33: 33, 66, 99, 132, 165, 198, ... Hence, the smallest three-digit positive integer greater than 132 that is divisible by both 3 and 11 is 165.

Math question: What is the sum of all odd numbers between 1 and 132 inclusive?

To find the sum of these odd numbers, we can use the formula for the sum of an arithmetic series. The first odd number in the series is 1, and the last odd number is 131 (132 being even). We know that the number of terms can be calculated as (131-1)/2 + 1 = 66. Now, applying the sum formula S = (n/2)(first term + last term), we get S = (66/2)(1 + 131) = 66 * 66 = 4356. Therefore, the sum of all odd numbers from 1 to 132 is 4356.

Math Question: If the number 132 is multiplied by 2, divided by 3, and then added to half of its square root, what is the final result?

To solve this, we first multiply 132 by 2, resulting in 264. Then we divide this by 3, obtaining 88. Finally, we find half of the square root of 132, which is approximately 6.48. Adding this to 88, the final result is approximately 94.48. So, when performing the defined operations on 132, the outcome is approximately 94.48.

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

132 (number)

132 is an even 3-digits composite number following 131 and preceding 133. In scientific notation, it is written as 1.32 × 10^2. The sum of its digits is 6. It has a total of 4 prime factors and 12 positive divisors. There are 40 positive integers (up to 132) that are relatively prime to 132.

Interesting facts

132 has 12 divisors, whose sum is 336
The reverse of 132 is 231
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 6
Digital Root 6

Name

Name	one hundred thirty-two

Notation

Scientific notation	1.32 × 10^2
Engineering notation	1.32 × 10^0

Prime Factorization of 132

Prime Factorization 2 × 2 × 3 × 11

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	66	Product of the distinct prime numbers

The prime factorization of 132 is 2 × 2 × 3 × 11. Since it has a total of 4 prime factors.

Most popular turbo-numbers

1, 8, 3, 39, 577, 705, 9703, 4486, 3349, 29507, 75268, 956228, 7108306, 3731632, 77250579, 35616672, 72457321, 798937813, 2954008518, 7573022689

Basic calculations (n = 132)

Multiplication

n×y

n×2	264
n×3	396
n×4	528
n×5	660

Division

n÷y

n÷2	66
n÷3	44
n÷3	33
n÷5	26.4

Exponentiation

n^y

n²	17424
n³	2299968
n⁴	303595776
n⁵	40074642432

Nth Root

^y√n

²√n	11.489125293076
³√n	5.0916433696595
⁴√n	3.3895612242702
⁵√n	2.6553072804615

Divisors of 132

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-131	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 132 can be divided by 12 positive divisors. The sum of these divisors (counting 132) is 1, the average is 0.083333333333333.

Base conversion 132

Base	System	Value
2	Binary	10000100
3	Ternary	11220
4	Quaternary	2010
5	Quinary	1012
6	Senary	340
8	Octal	204
10	Decimal	132
12	Duodecimal	b0
16	Hexadecimal	84
20	Vigesimal	6c
36	Base36	3o

Cryptographic Hash Functions

md5	65ded5353c5ee48d0b7d48c591b8f430
sha1	91dfde1d6e005e422f64a59776234f1f4c80b5e4
sha256	dbb1ded63bc70732626c5dfe6c7f50ced3d560e970f30b15335ac290358748f6
sha512	efe27bdffbf45f23819d177baf6e65fe2f00241b17c8fea54c0c6e9584ddccf412151b66bf07eb5356fa72580f72b8879e7d2a9b19839999860fdaaaefaed747
ripemd-160	cdedea8f44caadf44c62b6b9c84dd60d0c10b273

132 as geometric shapes

Circle

Radius = n

Diameter	264
Circumference	829.38046054771
Area	54739.110396149

Sphere

Radius = n

Volume	9634083.4297221
Surface area	218956.44158459
Circumference	829.38046054771

Square

Length = n

Perimeter	528
Area	17424
Diagonal	186.67619023325

Cube

Length = n

Surface area	104544
Volume	2299968
Space diagonal	228.63070659909

Equilateral Triangle

Length = n

Perimeter	396
Area	7544.81331777
Altitude	114.31535329955

Triangular Pyramid

Length = n

Surface area	7544.81331777
Volume	271053.82821868
Height	62.225396744416