Math question: If you divide a number by 7 and then multiply it by 5, the result is 150. What is the original number?

Let's assume the unknown number is x. We can translate the problem into an equation: (x ÷ 7) × 5 = 150. To solve, first divide both sides by 5, giving us x ÷ 7 = 30. Then, multiply both sides by 7 to isolate x, resulting in x = 210. Therefore, the original number is 210.

Math question: What is the sum of the first 10 multiples of 210 starting from 210?

To find the sum, we can use the arithmetic series formula: Sn = n/2 * (a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. For this series, a = 210 and l = 210 * 10 = 2100. Substituting these values, we get Sn = 10/2 * (210 + 2100) = 5 * 2310 = 11550. Therefore, the sum of the first 10 multiples of 210 is 11550.

Question: A number is divisible by 75, 105, and 140. What is the smallest positive integer greater than 2000 that satisfies these conditions?

To find the number, we need to find the smallest common multiple of 75, 105, and 140, which is the smallest positive integer divisible by all three numbers. The prime factorization of 75 is 3 * 5^2, 105 is 3 * 5 * 7, and 140 is 2^2 * 5 * 7. Taking the highest powers of prime factors involved in these numbers, we get the prime factorization of the smallest common multiple as 2^2 * 3 * 5^2 * 7. Evaluating this, we find the smallest number satisfying the conditions is 2^2 * 3 * 5^2 * 7 = 4 * 3 * 25 * 7 = 2100. Hence, 2100 is the smallest positive integer greater than 2000 that is divisible by 75, 105, and 140.

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

2100 (number)

2100 is an even 4-digits composite number following 2099 and preceding 2101. In scientific notation, it is written as 2.100 × 10^3. The sum of its digits is 3. It has a total of 6 prime factors and 36 positive divisors. There are 480 positive integers (up to 2100) that are relatively prime to 2100.

Interesting facts

2100 has 36 divisors, whose sum is 6944
The reverse of 2100 is 0012
Previous prime number is 5

Basic properties

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

Name

Name	two thousand one hundred

Notation

Scientific notation	2.100 × 10^3
Engineering notation	2.100 × 10^3

Prime Factorization of 2100

Prime Factorization 2 × 2 × 3 × 7 × 5 × 5

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	210	Product of the distinct prime numbers

The prime factorization of 2100 is 2 × 2 × 3 × 7 × 5 × 5. Since it has a total of 6 prime factors.

Most popular turbo-numbers

4, 4, 32, 38, 793, 103, 4945, 9995, 47766, 20475, 915663, 723177, 4346710, 8213368, 70111950, 82644070, 715654599, 3881625, 2011054315, 3000137546

Basic calculations (n = 2100)

Multiplication

n×y

n×2	4200
n×3	6300
n×4	8400
n×5	10500

Division

n÷y

n÷2	1050
n÷3	700
n÷3	525
n÷5	420

Exponentiation

n^y

n²	4410000
n³	9261000000
n⁴	19448100000000
n⁵	40841010000000000

Nth Root

^y√n

²√n	45.825756949558
³√n	12.805791649875
⁴√n	6.7694724277124
⁵√n	4.6178929274159

Divisors of 2100

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 140, 150, 175, 210, 300, 350, 420, 525, 700, 1050, 2100

36 divisors

τ	Total Divisors	36	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2099	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.027777777777778	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	36	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2100 can be divided by 36 positive divisors. The sum of these divisors (counting 2100) is 1, the average is 0.027777777777778.

Base conversion 2100

Base	System	Value
2	Binary	100000110100
3	Ternary	2212210
4	Quaternary	200310
5	Quinary	31400
6	Senary	13420
8	Octal	4064
10	Decimal	2100
12	Duodecimal	1270
16	Hexadecimal	834
20	Vigesimal	550
36	Base36	1mc

Cryptographic Hash Functions

md5	2cad8fa47bbef282badbb8de5374b894
sha1	89b98f7be8afc23ebefc3e02f86ebb89cbe74176
sha256	4f5131ea0c5a3e7f4c5f86029ae1be2a60e67f023073bbb074a3a929089e5bc1
sha512	149d27069d40bcb60ea6a635b8e34e8b31fad19d388c36b3fc8d6df21f84d4a8dbc8bd05b127102960c9060771c76a8cc836f14b23d1eea2b0d6cfa5c2b0bcbb
ripemd-160	c785b2b3ed662edf0d415ac7b132ef718626ba0f

2100 as geometric shapes

Circle

Radius = n

Diameter	4200
Circumference	13194.689145077
Area	13854423.602331

Sphere

Radius = n

Volume	38792386086.527
Surface area	55417694.409324
Circumference	13194.689145077

Square

Length = n

Perimeter	8400
Area	4410000
Diagonal	2969.8484809835

Cube

Length = n

Surface area	26460000
Volume	9261000000
Space diagonal	3637.3066958946

Equilateral Triangle

Length = n

Perimeter	6300
Area	1909586.0153447
Altitude	1818.6533479473

Triangular Pyramid

Length = n

Surface area	1909586.0153447
Volume	1091419316.7614
Height	989.94949366117