What is the square root of the number obtained by multiplying 6768 by 3? (Assuming multiplication is performed before taking the square root).

By multiplying 6768 by 3, we get 20304. Taking the square root of 20304, we find that it is approximately 142.665.

What is the square root of 6768? How can this be represented in simplest radical form? Explain the process, including any calculations, up to 500 characters.

The square root of 6768 is √6768 = 82.352. To express it in simplest radical form, we consider prime factorization. Upon breaking down 6768, it can be represented as 2^4 * 3 * 281. We group the factors of 2 in pairs, which leaves us with 2^2 * (2 * 3 * 281). Taking the square root of 2^2 cancels out the squared exponent, leaving us with 2 remaining outside the radical (√2 * √2 = 2). Therefore, the simplest radical form of √6768 is 2√(2 * 3 * 281), approximately 2 * 82.352.

Math question: If a number is multiplied by 2, then subtracted by 1003, and the result is equal to 6768, what is the original number?

Let's assume the original number is x. According to the given conditions, 2x - 1003 = 6768. We can now solve for x: 2x = 6768 + 1003 2x = 7771 x = 7771/2 x = 3885.5 Therefore, the original number is 3885.5.

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

6768 (number)

6768 is an even 4-digits composite number following 6767 and preceding 6769. In scientific notation, it is written as 6.768 × 10^3. The sum of its digits is 27. It has a total of 6 prime factors and 20 positive divisors. There are 2208 positive integers (up to 6768) that are relatively prime to 6768.

Interesting facts

6768 has 20 divisors, whose sum is 14880
The reverse of 6768 is 8676
Previous prime number is 9

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 27
Digital Root 9

Name

Name	six thousand seven hundred sixty-eight

Notation

Scientific notation	6.768 × 10^3
Engineering notation	6.768 × 10^3

Prime Factorization of 6768

Prime Factorization 2 × 2 × 2 × 2 × 9 × 47

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	846	Product of the distinct prime numbers

The prime factorization of 6768 is 2 × 2 × 2 × 2 × 9 × 47. Since it has a total of 6 prime factors.

Most popular turbo-numbers

2, 8, 61, 86, 55, 947, 4408, 4055, 64252, 54077, 614221, 505144, 7767921, 6090988, 59948218, 97595492, 252099057, 581574504, 8313533537, 3441494126

Basic calculations (n = 6768)

Multiplication

n×y

n×2	13536
n×3	20304
n×4	27072
n×5	33840

Division

n÷y

n÷2	3384
n÷3	2256
n÷3	1692
n÷5	1353.6

Exponentiation

n^y

n²	45805824
n³	310013816832
n⁴	2098173512318976
n⁵	1.4200438331375E+19

Nth Root

^y√n

²√n	82.267855204813
³√n	18.91559978544
⁴√n	9.0701629094969
⁵√n	5.8356880717826

Divisors of 6768

1, 2, 4, 8, 9, 16, 18, 36, 47, 72, 94, 144, 188, 376, 423, 752, 846, 1692, 3384, 6768

20 divisors

τ	Total Divisors	20	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-6767	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.05	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	20	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 6768 can be divided by 20 positive divisors. The sum of these divisors (counting 6768) is 1, the average is 0.05.

Base conversion 6768

Base	System	Value
2	Binary	1101001110000
3	Ternary	100021200
4	Quaternary	1221300
5	Quinary	204033
6	Senary	51200
8	Octal	15160
10	Decimal	6768
12	Duodecimal	3b00
16	Hexadecimal	1a70
20	Vigesimal	gi8
36	Base36	580

Cryptographic Hash Functions

md5	9a84a0448b11c17666c7e5db74042219
sha1	b6a800fb955ea7c8966945b7477e84ee8ccf6e0e
sha256	42f8dba2c87626c4ffb275b0427bb47e85b02dcca9a9103540d32ea88c695038
sha512	8a66ccd5cf8356e959338871ed61312e4a1ce607721821c1e6b84bd32d26fad3d867ee671e47fbc12e75ca043382cdf148fee5cbcbbe3ef757d20fe28a0e9084
ripemd-160	13474a10e01580a8dc474265ab5f6f2a75c65d48

6768 as geometric shapes

Circle

Radius = n

Diameter	13536
Circumference	42524.598158991
Area	143903240.17003

Sphere

Radius = n

Volume	1298582839294.3
Surface area	575612960.68011
Circumference	42524.598158991

Square

Length = n

Perimeter	27072
Area	45805824
Diagonal	9571.3973901411

Cube

Length = n

Surface area	274834944
Volume	310013816832
Space diagonal	11722.519865626

Equilateral Triangle

Length = n

Perimeter	20304
Area	19834503.612639
Altitude	5861.2599328131

Triangular Pyramid

Length = n

Surface area	19834503.612639
Volume	36535478690.572
Height	3190.4657967137