Math Question: If a certain quantity is divided by 5 and then increased by 25% of itself, the result is 1300. What is the original quantity?

Let's denote the original quantity as 'x'. According to the given information, (x / 5) + (0.25x) = 1300. Simplifying, (x/5) + (0.25x) = 1300 becomes (x + 0.25x*5)/5 = 1300, or (6.25x)/5 = 1300. Cross-multiplying gives 6.25x = 6500. Dividing both sides by 6.25 yields x = 1040. Therefore, the original quantity is 1040.

Math question: What is the sum of all divisors of 1300?

To find the sum of divisors of 1300, we first factorize it as 2^2 * 5^2 * 13. The sum of divisors can be calculated using the formula (p^0 + p^1 + p^2 + ... + p^n) * (q^0 + q^1 + q^2 + ... + q^m) * ... * (r^0 + r^1 + r^2 + ... + r^l), where p, q, r, etc. are the prime factors and n, m, l are their respective powers. For 1300, we have (2^0 + 2^1 + 2^2)(5^0 + 5^1 + 5^2)(13^0 + 13^1) = (1 + 2 + 4)(1 + 5 + 25)(1 + 13) = 7 * 31 * 14 = 3134. Hence, the sum of all divisors of 1300 is 3134.

Math question: If a car travels at a constant speed of 60 miles per hour, how long will it take to cover a distance of 1300 miles?

To find the time it takes for the car to cover a distance of 1300 miles at a constant speed of 60 miles per hour, we can use the formula Time = Distance / Speed. Plugging in the values, we have Time = 1300 miles / 60 mph. Therefore, it will take approximately 21.67 hours (or 21 hours and 40 minutes) for the car to cover a distance of 1300 miles.

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

1300 (number)

1300 is an even 4-digits composite number following 1299 and preceding 1301. In scientific notation, it is written as 1.300 × 10^3. The sum of its digits is 4. It has a total of 4 prime factors and 12 positive divisors. There are 480 positive integers (up to 1300) that are relatively prime to 1300.

Interesting facts

1300 has 12 divisors, whose sum is 2772
The reverse of 1300 is 0031
Previous prime number is 65

Basic properties

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

Name

Name	one thousand three hundred

Notation

Scientific notation	1.300 × 10^3
Engineering notation	1.300 × 10^3

Prime Factorization of 1300

Prime Factorization 2 × 2 × 65 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	650	Product of the distinct prime numbers

The prime factorization of 1300 is 2 × 2 × 65 × 5. Since it has a total of 4 prime factors.

Most popular turbo-numbers

4, 9, 71, 46, 2, 157, 8230, 9740, 10385, 37207, 814111, 733373, 5604945, 7190929, 47625228, 7440370, 7401512, 225649815, 819100440, 6837774508

Basic calculations (n = 1300)

Multiplication

n×y

n×2	2600
n×3	3900
n×4	5200
n×5	6500

Division

n÷y

n÷2	650
n÷3	433.33333333333
n÷3	325
n÷5	260

Exponentiation

n^y

n²	1690000
n³	2197000000
n⁴	2856100000000
n⁵	3712930000000000

Nth Root

^y√n

²√n	36.05551275464
³√n	10.913928830611
⁴√n	6.0046242808888
⁵√n	4.1955477717535

Divisors of 1300

1, 2, 4, 5, 10, 20, 65, 130, 260, 325, 650, 1300

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	-1299	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 1300 can be divided by 12 positive divisors. The sum of these divisors (counting 1300) is 1, the average is 0.083333333333333.

Base conversion 1300

Base	System	Value
2	Binary	10100010100
3	Ternary	1210011
4	Quaternary	110110
5	Quinary	20200
6	Senary	10004
8	Octal	2424
10	Decimal	1300
12	Duodecimal	904
16	Hexadecimal	514
20	Vigesimal	350
36	Base36	104

Cryptographic Hash Functions

md5	6f3e29a35278d71c7f65495871231324
sha1	6341e003520bc779c996d2490305a597ff45a8ae
sha256	a037a7dfaf26abe1265bd5d51447be3bb1fdaef7c4c7a14bcf0d819818fb80b0
sha512	1f4274ec49447454a7e725766a92070e27a06a1e026b7db2dba3e0619af0a09373165d776b10333d075a62457b6022ceef2fcaaab4a767a8f9441ff594e664aa
ripemd-160	dd4d8f755570d78adf5efe48d611700ab9f1b6d0

1300 as geometric shapes

Circle

Radius = n

Diameter	2600
Circumference	8168.1408993335
Area	5309291.5845668

Sphere

Radius = n

Volume	9202772079.9157
Surface area	21237166.338267
Circumference	8168.1408993335

Square

Length = n

Perimeter	5200
Area	1690000
Diagonal	1838.477631085

Cube

Length = n

Surface area	10140000
Volume	2197000000
Space diagonal	2251.6660498395

Equilateral Triangle

Length = n

Perimeter	3900
Area	731791.46619785
Altitude	1125.8330249198

Triangular Pyramid

Length = n

Surface area	731791.46619785
Volume	258918933.04447
Height	612.82587702834