Question: What is the least common multiple of 91 and 13?

To find the least common multiple (LCM) of two numbers, we first observe the prime factorization of each number. The prime factorization of 91 is 7^1 × 13^1, and the prime factorization of 13 is 13^1. Since both numbers have a factor of 13, we take the highest exponent, which is 13^1. Now, multiply 7^1 and 13^1 to get 91. Therefore, the LCM of 91 and 13 is 91. The LCM is the smallest number that is divisible by both 91 and 13 without any remainder.

Math question: Find the sum of the first 91 positive integers.

To find the sum of the first 91 positive integers, we can 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. In this case, we have a = 1 (since it's the first positive integer) and l = 91. Plugging these values into the formula, we get Sn = (91/2)(1 + 91) = 91/2 * 92 = 91*46 = 4186. Thus, the sum of the first 91 positive integers is 4186.

Math question: If a number is increased by 31, multiplied by 2, and then divided by 3, the result is 91. What is the original number?

Let's represent the original number as x. According to the given conditions, ((x + 31) * 2) / 3 = 91. To solve for x, we'll simplify the equation: (2x + 62) / 3 = 91. Multiplying both sides by 3, we obtain 2x + 62 = 273. Further simplifying, we have 2x = 273 - 62, which gives 2x = 211. Dividing both sides by 2, we find x = 105.5. Therefore, the original number is 105.5.

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

91 (number)

91 is an odd 2-digits composite number following 90 and preceding 92. In scientific notation, it is written as 9.1 × 10^1. The sum of its digits is 10. It has a total of 2 prime factors and 4 positive divisors. There are 72 positive integers (up to 91) that are relatively prime to 91.

Interesting facts

91 has 4 divisors, whose sum is 112
The reverse of 91 is 19
Previous prime number is 7

Basic properties

Is Prime? no
Number parity odd
Number length 2
Sum of Digits 10
Digital Root 1

Name

Name	ninety-one

Notation

Scientific notation	9.1 × 10^1
Engineering notation	9.1 × 10^0

Prime Factorization of 91

Prime Factorization 7 × 13

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	91	Product of the distinct prime numbers

The prime factorization of 91 is 7 × 13. Since it has a total of 2 prime factors.

Most popular turbo-numbers

4, 1, 18, 12, 362, 213, 5055, 158, 33550, 53353, 894447, 840251, 8499093, 2361961, 37766547, 54809646, 683392678, 112945160, 7933633230, 3603855626

Basic calculations (n = 91)

Multiplication

n×y

n×2	182
n×3	273
n×4	364
n×5	455

Division

n÷y

n÷2	45.5
n÷3	30.333333333333
n÷3	22.75
n÷5	18.2

Exponentiation

n^y

n²	8281
n³	753571
n⁴	68574961
n⁵	6240321451

Nth Root

^y√n

²√n	9.5393920141695
³√n	4.4979414452754
⁴√n	3.0885906193877
⁵√n	2.4649509317269

Divisors of 91

1, 7, 13, 91

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-90	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 91 can be divided by 4 positive divisors. The sum of these divisors (counting 91) is 1, the average is 0.25.

Base conversion 91

Base	System	Value
2	Binary	1011011
3	Ternary	10101
4	Quaternary	1123
5	Quinary	331
6	Senary	231
8	Octal	133
10	Decimal	91
12	Duodecimal	77
16	Hexadecimal	5b
20	Vigesimal	4b
36	Base36	2j

Cryptographic Hash Functions

md5	54229abfcfa5649e7003b83dd4755294
sha1	4cd66dfabbd964f8c6c4414b07cdb45dae692e19
sha256	1da51b8d8ff98f6a48f80ae79fe3ca6c26e1abb7b7d125259255d6d2b875ea08
sha512	d951c24b4b9e7b78c94c324cdcfaf0ecbf0fad6f8fbaeca34d64c1521902e8b1eaf8e33f008617f8e198e87a2df7e9c2c36478bcc539dae67de8efc30db07f22
ripemd-160	7addba9c99359a7ce3549f23138c985ad1864f82

91 as geometric shapes

Circle

Radius = n

Diameter	182
Circumference	571.76986295334
Area	26015.528764377

Sphere

Radius = n

Volume	3156550.8234111
Surface area	104062.11505751
Circumference	571.76986295334

Square

Length = n

Perimeter	364
Area	8281
Diagonal	128.69343417595

Cube

Length = n

Surface area	49686
Volume	753571
Space diagonal	157.61662348877

Equilateral Triangle

Length = n

Perimeter	273
Area	3585.7781843695
Altitude	78.808311744384

Triangular Pyramid

Length = n

Surface area	3585.7781843695
Volume	88809.194034255
Height	42.897811391984