Math question: The sum of two numbers is 1260, and their difference is 450. What are the two numbers?

Let's assume the larger number is x and the smaller number is y. We have the following equations: x + y = 1260 and x - y = 450. By solving these two equations simultaneously, we can find the values of x and y. Adding the two equations, we get: (x + y) + (x - y) = 1260 + 450 Simplifying further: 2x = 1710 Dividing both sides by 2 gives us: x = 855 Now substituting this value back into one of the original equations, let's use x + y = 1260, we find: 855 + y = 1260 Subtracting 855 from both sides gives us: y = 405 Therefore, the two numbers are 855 and 405.

Question: What is the smallest number that is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 12?

To find the smallest number divisible by the given set of numbers, we need to find their least common multiple (LCM). The LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10, and 12 is 2520. To determine this, we can break down each number into its prime factors: 2 = 2, 3 = 3, 4 = 2^2, 5 = 5, 6 = 2 * 3, 7 = 7, 8 = 2^3, 9 = 3^2, 10 = 2 * 5, and 12 = 2^2 * 3. Next, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3^2 * 5 * 7 = 2520. Therefore, the smallest number divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10, and 12 is 2520.

Math question: What is the sum of all the positive divisors of 1260?

To find the sum of all the positive divisors of 1260, we need to calculate the sum of all the numbers that divide 1260 without leaving a remainder. First, let's find the prime factorization of 1260: 2^2 × 3^2 × 5 × 7. Now, we can calculate the sum of divisors using the formula: Sum of divisors = (2^0 + 2^1 + 2^2) × (3^0 + 3^1 + 3^2) × (5^0 + 5^1) × (7^0 + 7^1) Sum of divisors = (1 + 2 + 4) × (1 + 3 + 9) × (1 + 5) × (1 + 7) Sum of divisors = 7 × 13 × 6 × 8 Sum of divisors = 4368. Therefore, the sum of all the positive divisors of 1260 is 4368.

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

1260 (number)

1260 is an even 4-digits composite number following 1259 and preceding 1261. In scientific notation, it is written as 1.260 × 10^3. The sum of its digits is 9. It has a total of 4 prime factors and 12 positive divisors. There are 288 positive integers (up to 1260) that are relatively prime to 1260.

Interesting facts

1260 has 12 divisors, whose sum is 2968
The reverse of 1260 is 0621
Previous prime number is 105

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	one thousand two hundred sixty

Notation

Scientific notation	1.260 × 10^3
Engineering notation	1.260 × 10^3

Prime Factorization of 1260

Prime Factorization 2 × 2 × 105 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	630	Product of the distinct prime numbers

The prime factorization of 1260 is 2 × 2 × 105 × 3. Since it has a total of 4 prime factors.

Most popular turbo-numbers

3, 8, 38, 32, 167, 856, 4315, 6810, 18757, 46880, 383054, 631602, 4621348, 2031490, 4503951, 30122888, 840165657, 258655932, 4178269636, 5300614568

Basic calculations (n = 1260)

Multiplication

n×y

n×2	2520
n×3	3780
n×4	5040
n×5	6300

Division

n÷y

n÷2	630
n÷3	420
n÷3	315
n÷5	252

Exponentiation

n^y

n²	1587600
n³	2000376000
n⁴	2520473760000
n⁵	3175796937600000

Nth Root

^y√n

²√n	35.496478698598
³√n	10.800822982553
⁴√n	5.9578921355289
⁵√n	4.1694052510412

Divisors of 1260

1, 2, 3, 4, 6, 12, 105, 210, 315, 420, 630, 1260

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	-1259	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 1260 can be divided by 12 positive divisors. The sum of these divisors (counting 1260) is 1, the average is 0.083333333333333.

Base conversion 1260

Base	System	Value
2	Binary	10011101100
3	Ternary	1201200
4	Quaternary	103230
5	Quinary	20020
6	Senary	5500
8	Octal	2354
10	Decimal	1260
12	Duodecimal	890
16	Hexadecimal	4ec
20	Vigesimal	330
36	Base36	z0

Cryptographic Hash Functions

md5	f4573fc71c731d5c362f0d7860945b88
sha1	98f59d0c790f1ae9d5c7f8f7b9f189f093d69c55
sha256	9c19f29d0e6fefa21eec58f6ff4d0cf807b63d0ed146f1fea0874506b66c35ee
sha512	81fe900bcf87cfd5c9e3ae1ee008d1339350c400ead8940ef18fc8f9abe246b17ca52b060de1f60346efc58b9f569cbef1d4692c31cfce1b280869980cae4c7d
ripemd-160	e094f514b98c3260ecb66bee6c7fc3ffcbceb16e

1260 as geometric shapes

Circle

Radius = n

Diameter	2520
Circumference	7916.8134870463
Area	4987592.4968392

Sphere

Radius = n

Volume	8379155394.6898
Surface area	19950369.987357
Circumference	7916.8134870463

Square

Length = n

Perimeter	5040
Area	1587600
Diagonal	1781.9090885901

Cube

Length = n

Surface area	9525600
Volume	2000376000
Space diagonal	2182.3840175368

Equilateral Triangle

Length = n

Perimeter	3780
Area	687450.96552409
Altitude	1091.1920087684

Triangular Pyramid

Length = n

Surface area	687450.96552409
Volume	235746572.42047
Height	593.9696961967