Math Question: What is the smallest prime number that is a multiple of both 2 and 5, and when divided by 7 leaves a remainder of 4, and is divisible by 17?

The number 2380 satisfies all the given conditions. It is divisible by 2, 5, and 17 since it ends in 0 and falls within the specified range. When divided by 7, it leaves a remainder of 4. Furthermore, it is the smallest prime number that meets all these criteria. Thus, 2380 is the answer to the given math question.

What is the sum of the digits of the number 2380?

To find the sum of the digits, we add each individual digit together. In the case of 2380, we have 2 + 3 + 8 + 0 = 13. Thus, the sum of the digits of the number 2380 is 13.

What is the largest prime factor of the number 2380?

To find the largest prime factor of 2380, we can start by dividing it by the smallest prime number, 2. 2380 divided by 2 is 1190. Next, we divide the quotient, 1190, by the next prime number, 3, which gives us 396. Continuing the process, we divide 396 by 2 and get 198. Dividing 198 by 2 again yields 99. Now, dividing 99 by 3 gives us 33. Finally, dividing 33 by 3, we obtain 11. Since 11 is a prime number, we cannot divide it further, and hence the largest prime factor of 2380 is 11.

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

2380 (number)

2380 is an even 4-digits composite number following 2379 and preceding 2381. In scientific notation, it is written as 2.380 × 10^3. The sum of its digits is 13. It has a total of 5 prime factors and 24 positive divisors. There are 768 positive integers (up to 2380) that are relatively prime to 2380.

Interesting facts

2380 has 24 divisors, whose sum is 6048
The reverse of 2380 is 0832
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	two thousand three hundred eighty

Notation

Scientific notation	2.380 × 10^3
Engineering notation	2.380 × 10^3

Prime Factorization of 2380

Prime Factorization 2 × 2 × 7 × 5 × 17

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	1190	Product of the distinct prime numbers

The prime factorization of 2380 is 2 × 2 × 7 × 5 × 17. Since it has a total of 5 prime factors.

Most popular turbo-numbers

4, 1, 32, 53, 52, 794, 4101, 5813, 37207, 72780, 727938, 308347, 9059643, 6086736, 72213177, 51349321, 324349217, 417907065, 6936918487, 8338760122

Basic calculations (n = 2380)

Multiplication

n×y

n×2	4760
n×3	7140
n×4	9520
n×5	11900

Division

n÷y

n÷2	1190
n÷3	793.33333333333
n÷3	595
n÷5	476

Exponentiation

n^y

n²	5664400
n³	13481272000
n⁴	32085427360000
n⁵	76363317116800000

Nth Root

^y√n

²√n	48.785243670602
³√n	13.351364493691
⁴√n	6.9846434175699
⁵√n	4.7349499356658

Divisors of 2380

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2379	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	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	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2380 can be divided by 24 positive divisors. The sum of these divisors (counting 2380) is 1, the average is 0.041666666666667.

Base conversion 2380

Base	System	Value
2	Binary	100101001100
3	Ternary	10021011
4	Quaternary	211030
5	Quinary	34010
6	Senary	15004
8	Octal	4514
10	Decimal	2380
12	Duodecimal	1464
16	Hexadecimal	94c
20	Vigesimal	5j0
36	Base36	1u4

Cryptographic Hash Functions

md5	da4902cb0bc38210839714ebdcf0efc3
sha1	3820eccabc46f2c4f038c662d6542e8a9bd0de20
sha256	86af1a4e860588062524f76e3014a080ff3a2b45b9111a7a2125cb7bdb092695
sha512	ad22e09fbca35d8d7e551a21b5a55c077db086e45591a378ef4eae4af95dc8ca28bd99f6202e62de22834ca8e03d31a62de279f91489888847ce94238dfee35d
ripemd-160	f2060befc2c22f531349c8f99105a9a36afd7e7a

2380 as geometric shapes

Circle

Radius = n

Diameter	4760
Circumference	14953.981031087
Area	17795237.426994

Sphere

Radius = n

Volume	56470220101.661
Surface area	71180949.707976
Circumference	14953.981031087

Square

Length = n

Perimeter	9520
Area	5664400
Diagonal	3365.828278448

Cube

Length = n

Surface area	33986400
Volume	13481272000
Space diagonal	4122.2809220139

Equilateral Triangle

Length = n

Perimeter	7140
Area	2452757.1485983
Altitude	2061.140461007

Triangular Pyramid

Length = n

Surface area	2452757.1485983
Volume	1588783141.7034
Height	1121.9427594827