Math question: If a number is multiplied by 3, and the result is then divided by 2, followed by subtracting 10 and adding 100, the final outcome is equal to 1668. What is the original number?

Let's solve for the original number x. Starting with 1668, we reverse the operations one by one. Adding 10 and subtracting 100, we get 1578. Multiplying by 2, we get 3156. Finally, dividing by 3, we obtain 1052, which is the original number x. Therefore, the number that satisfies the given conditions is 1052. (Length: 419 characters)

Math question (1668): Find the sum of all two-digit positive even numbers less than 1668 that are divisible by both 4 and 6.

To find the numbers satisfying the given conditions, we need to find the largest two-digit even number that satisfies both divisibility by 4 and 6. The largest two-digit even number is 98. Next, we need to find the number of terms in the sequence 4, 8, 12, ..., 98. This can be done by finding the common difference, which is 4, and using the formula for the nth term of an arithmetic sequence (98 = 4 + (n-1)4). Solving this equation gives us n = 25. Now, we can find the sum of these terms using the formula Sn = (n/2)(first term + last term). Substituting the values, we get Sn = (25/2)(4 + 98) = (25/2)(102) = 1275. Hence, the sum of all two-digit positive even numbers less than 1668 that are divisible by both 4 and 6 is 1275.

Math question: What is the largest prime factor of the number 1668?

To find the largest prime factor of 1668, we can start by dividing it by the smallest prime number, 2. Since 1668 is even, we find that 1668 ÷ 2 = 834. Continuing this process, we divide 834 by the next smallest prime, 3, resulting in 834 ÷ 3 = 278. Now, dividing 278 by 2 again, we get 278 ÷ 2 = 139. As 139 is a prime number, we have found the largest prime factor of 1668, which is 139.

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

1668 (number)

1668 is an even 4-digits composite number following 1667 and preceding 1669. In scientific notation, it is written as 1.668 × 10^3. The sum of its digits is 21. It has a total of 4 prime factors and 12 positive divisors. There are 552 positive integers (up to 1668) that are relatively prime to 1668.

Interesting facts

1668 has 12 divisors, whose sum is 3920
The reverse of 1668 is 8661
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 21
Digital Root 3

Name

Name	one thousand six hundred sixty-eight

Notation

Scientific notation	1.668 × 10^3
Engineering notation	1.668 × 10^3

Prime Factorization of 1668

Prime Factorization 2 × 2 × 3 × 139

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	834	Product of the distinct prime numbers

The prime factorization of 1668 is 2 × 2 × 3 × 139. Since it has a total of 4 prime factors.

Most popular turbo-numbers

10, 10, 87, 94, 135, 763, 8476, 6503, 66460, 20539, 121100, 317319, 6353394, 3413923, 63348042, 40060325, 117673827, 56882504, 2273957574, 8180159531

Basic calculations (n = 1668)

Multiplication

n×y

n×2	3336
n×3	5004
n×4	6672
n×5	8340

Division

n÷y

n÷2	834
n÷3	556
n÷3	417
n÷5	333.6

Exponentiation

n^y

n²	2782224
n³	4640749632
n⁴	7740770386176
n⁵	12911605004141568

Nth Root

^y√n

²√n	40.841155713324
³√n	11.859471855163
⁴√n	6.3907085454842
⁵√n	4.4100062936257

Divisors of 1668

1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668

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	-1667	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 1668 can be divided by 12 positive divisors. The sum of these divisors (counting 1668) is 1, the average is 0.083333333333333.

Base conversion 1668

Base	System	Value
2	Binary	11010000100
3	Ternary	2021210
4	Quaternary	122010
5	Quinary	23133
6	Senary	11420
8	Octal	3204
10	Decimal	1668
12	Duodecimal	b70
16	Hexadecimal	684
20	Vigesimal	438
36	Base36	1ac

Cryptographic Hash Functions

md5	b0f2ad44d26e1a6f244201fe0fd864d1
sha1	4e38023a2f4a0108de215ede5acf1dec70d33adf
sha256	328c58f0f1726122097e75379a5d2ff5fe7b7c88799fb09ea3fe62ab269a1192
sha512	2c7d386f86d64e5e60dfb1d54100fc95f9bd114b9988a7dc663d7f6bf51903d95b27f9ea93a1c14e40e7843de0449e225a032d9b7e671e4db21835d1aff2f4fc
ripemd-160	c632b7f34db819e9d7f752428304ebe157d9ae29

1668 as geometric shapes

Circle

Radius = n

Diameter	3336
Circumference	10480.353092376
Area	8740614.4790412

Sphere

Radius = n

Volume	19439126601.388
Surface area	34962457.916165
Circumference	10480.353092376

Square

Length = n

Perimeter	6672
Area	2782224
Diagonal	2358.9082220383

Cube

Length = n

Surface area	16693344
Volume	4640749632
Space diagonal	2889.0607470249

Equilateral Triangle

Length = n

Perimeter	5004
Area	1204738.3315094
Altitude	1444.5303735124

Triangular Pyramid

Length = n

Surface area	1204738.3315094
Volume	546917589.09603
Height	786.30274067944