Math question: What is the sum of all odd numbers from 1 to 2990?

To find the sum, identify the last odd number in the sequence, which is 2989. Now, apply the formula for the sum of an arithmetic sequence: Sn = (n/2) * (first term + last term), where n represents the number of terms. Here, the first term is 1 and the last term is 2989. Substituting these values, Sn = (n/2) * (1 + 2989). Since we need to find the sum from 1 to 2990, there are (2990 + 1)/2 = 1495 terms. Plugging this into the formula: S1495 = (1495/2) * (1 + 2989) = 1495 * 1490 = 2,224,750. Therefore, the sum of all odd numbers from 1 to 2990 is 2,224,750.

What is the least positive integer such that when it is multiplied by 2990, the result is a perfect square?

The least positive integer, in this case, is 30. When multiplied by 2990, it results in 89700, which is equal to (300^2), a perfect square. So, the least positive integer is 30.

Question: What is the smallest prime factor of the number 2990?

To find the smallest prime factor of 2990, we start by checking if 2 is a factor. Since 2 does not divide evenly into 2990, we move on to the next prime number, 3. Dividing 2990 by 3 gives us 996 with a remainder of 2. Then, we move to the next prime number, 5, and find that it does not divide evenly into 996. Likewise, 7 and 11 cannot divide evenly into 996. However, when we divide 996 by 13, we get a quotient of 76 with no remainder. Therefore, the smallest prime factor of 2990 is 13.

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

2990 (number)

2990 is an even 4-digits composite number following 2989 and preceding 2991. In scientific notation, it is written as 2.990 × 10^3. The sum of its digits is 20. It has a total of 4 prime factors and 16 positive divisors. There are 1056 positive integers (up to 2990) that are relatively prime to 2990.

Interesting facts

2990 has 16 divisors, whose sum is 6048
The reverse of 2990 is 0992
Previous prime number is 13

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 20
Digital Root 2

Name

Name	two thousand nine hundred ninety

Notation

Scientific notation	2.990 × 10^3
Engineering notation	2.990 × 10^3

Prime Factorization of 2990

Prime Factorization 2 × 5 × 13 × 23

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	2990	Product of the distinct prime numbers

The prime factorization of 2990 is 2 × 5 × 13 × 23. Since it has a total of 4 prime factors.

Most popular turbo-numbers

3, 9, 69, 88, 769, 87, 9753, 5734, 76892, 9094, 800, 619506, 8573220, 4780629, 60332491, 57141689, 990574282, 387749849, 6973149442, 5743433735

Basic calculations (n = 2990)

Multiplication

n×y

n×2	5980
n×3	8970
n×4	11960
n×5	14950

Division

n÷y

n÷2	1495
n÷3	996.66666666667
n÷3	747.5
n÷5	598

Exponentiation

n^y

n²	8940100
n³	26730899000
n⁴	79925388010000
n⁵	238976910149900000

Nth Root

^y√n

²√n	54.680892457969
³√n	14.406452869251
⁴√n	7.3946529639983
⁵√n	4.9560335498054

Divisors of 2990

1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2989	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2990 can be divided by 16 positive divisors. The sum of these divisors (counting 2990) is 1, the average is 0.0625.

Base conversion 2990

Base	System	Value
2	Binary	101110101110
3	Ternary	11002202
4	Quaternary	232232
5	Quinary	43430
6	Senary	21502
8	Octal	5656
10	Decimal	2990
12	Duodecimal	1892
16	Hexadecimal	bae
20	Vigesimal	79a
36	Base36	2b2

Cryptographic Hash Functions

md5	f6b5f8c32c65fee991049a55dc97d1ce
sha1	abd601ff6346dad326247e13778ec1f493b9d7e8
sha256	8c19996aa890257d05d9576583a5e056943aed0651142be0bd6e4ef462c9b4ad
sha512	bc27967c9b83074813c8d218a1834f54d8a86d2f1c1bff3a7e241ef01034ac001491b15ea974348633f48dbd132b96782257f50f64f532c313bb8fd15530e0cb
ripemd-160	7fe1b81556883696fbdfc49bc7349f2ca78eb349

2990 as geometric shapes

Circle

Radius = n

Diameter	5980
Circumference	18786.724068467
Area	28086152.482358

Sphere

Radius = n

Volume	111970127896.33
Surface area	112344609.92943
Circumference	18786.724068467

Square

Length = n

Perimeter	11960
Area	8940100
Diagonal	4228.4985514956

Cube

Length = n

Surface area	53640600
Volume	26730899000
Space diagonal	5178.8319146309

Equilateral Triangle

Length = n

Perimeter	8970
Area	3871176.8561866
Altitude	2589.4159573155

Triangular Pyramid

Length = n

Surface area	3871176.8561866
Volume	3150266658.3521
Height	1409.4995171652