Math question: What is the sum of the first 10 multiples of 109 starting from zero?

To find the sum of the first 10 multiples of 109, we can use the formula for the sum of an arithmetic series. The nth term, an, of an arithmetic sequence can be defined as a1 + (n-1)d, where a1 is the first term and d is the common difference. In this case, a1 = 0 (as we start from zero) and d = 109. So, the 10th term would be a10 = 0 + (10-1)109 = 981. Now, we can use the formula for the sum, Sn = n/2 * (a1 + an), to calculate the sum of these 10 multiples. Substituting the values, we get Sn = 10/2 * (0 + 981) = 10 * 490.5 = 4905. Therefore, the sum of the first 10 multiples of 109 is 4905.

Math question: If a certain quantity is decreased by 80% and then increased by 60, resulting in the number 1090, what was the initial quantity?

Let's assume the initial quantity is x. Given that x is decreased by 80%, we have 0.2x. Now, if we increase 0.2x by 60, it results in the number 1090. So, the equation becomes 0.2x + 60 = 1090. To solve for x, we can subtract 60 from both sides: 0.2x = 1030. Next, we divide both sides by 0.2: x = 1030 / 0.2 = 5150. Therefore, the initial quantity was 5150.

Math Question: What is the product of 1090 and the sum of its digits, subtracted by the difference between the square root of 1090 and the nearest integer, multiplied by the remainder when 1090 is divided by 7?

Let's solve it step by step. The sum of digits in 1090 is 1 + 0 + 9 + 0 = 10. Therefore, the sum of digits is 10. The square root of 1090 is approximately 33.03. The nearest integer would be 33. Subtracting 33 from 33.03 gives us a difference of 0.03. When we multiply this difference by the remainder when 1090 is divided by 7 (which is 6), we get 0.03 * 6 = 0.18. To find the product, we multiply 1090 by 10, since the sum of digits is 10, giving us 10 * 1090 = 10,900. Finally, subtracting 0.18 from 10,900, we obtain the answer of 10,899.82. Therefore, the answer is 10,899.82.

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

1090 (number)

1090 is an even 4-digits composite number following 1089 and preceding 1091. In scientific notation, it is written as 1.090 × 10^3. The sum of its digits is 10. It has a total of 3 prime factors and 8 positive divisors. There are 432 positive integers (up to 1090) that are relatively prime to 1090.

Interesting facts

1090 has 8 divisors, whose sum is 1980
The reverse of 1090 is 0901
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 10
Digital Root 1

Name

Name	one thousand ninety

Notation

Scientific notation	1.090 × 10^3
Engineering notation	1.090 × 10^3

Prime Factorization of 1090

Prime Factorization 2 × 5 × 109

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	1090	Product of the distinct prime numbers

The prime factorization of 1090 is 2 × 5 × 109. Since it has a total of 3 prime factors.

Most popular turbo-numbers

1, 7, 71, 30, 854, 554, 8601, 12, 71568, 72765, 785938, 449442, 4363957, 9659301, 70592889, 41490768, 23032676, 373781265, 7180136373, 8942970945

Basic calculations (n = 1090)

Multiplication

n×y

n×2	2180
n×3	3270
n×4	4360
n×5	5450

Division

n÷y

n÷2	545
n÷3	363.33333333333
n÷3	272.5
n÷5	218

Exponentiation

n^y

n²	1188100
n³	1295029000
n⁴	1411581610000
n⁵	1538623954900000

Nth Root

^y√n

²√n	33.015148038438
³√n	10.291424665715
⁴√n	5.7458809627801
⁵√n	4.0502823512429

Divisors of 1090

1, 2, 5, 10, 109, 218, 545, 1090

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1089	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1090 can be divided by 8 positive divisors. The sum of these divisors (counting 1090) is 1, the average is 0.125.

Base conversion 1090

Base	System	Value
2	Binary	10001000010
3	Ternary	1111101
4	Quaternary	101002
5	Quinary	13330
6	Senary	5014
8	Octal	2102
10	Decimal	1090
12	Duodecimal	76a
16	Hexadecimal	442
20	Vigesimal	2ea
36	Base36	ua

Cryptographic Hash Functions

md5	8b4066554730ddfaa0266346bdc1b202
sha1	befa2b19820da7401dbf672069d4af99a040c200
sha256	b7768fbb1847758d75c3ee28c3e2391e70c6ee29f7ce19847822bd5a7381ac67
sha512	63d8cffdfb03823391920c2e087157437c6bf52d7952cb9641ef8b63e27a7dc49022f9f87d0a5f370177d4abed7975b2ef2f20be5b7c8eeeef8ea44588a5b172
ripemd-160	05d0731afb6f2b5ba6327c7dfbae09cfc07a0560

1090 as geometric shapes

Circle

Radius = n

Diameter	2180
Circumference	6848.6719848257
Area	3732526.23173

Sphere

Radius = n

Volume	5424604790.1143
Surface area	14930104.92692
Circumference	6848.6719848257

Square

Length = n

Perimeter	4360
Area	1188100
Diagonal	1541.4927829867

Cube

Length = n

Surface area	7128600
Volume	1295029000
Space diagonal	1887.9353802501

Equilateral Triangle

Length = n

Perimeter	3270
Area	514462.39111815
Altitude	943.96769012504

Triangular Pyramid

Length = n

Surface area	514462.39111815
Volume	152620631.28887
Height	513.83092766222