Math Question: What is the sum of the digits when the number 1875 is multiplied by 5 and then divided by the sum of its divisors?

Let's begin by finding the sum of the divisors of 1875. The prime factorization of 1875 is 3^1 * 5^4. To find the sum of the divisors, we'll use the formula: Sum of divisors = (3^0 + 3^1) * (5^0 + 5^1 + 5^2 + 5^3 + 5^4) => Sum of divisors = (1 + 3) * (1 + 5 + 25 + 125 + 625) => Sum of divisors = 4 * 781 => Sum of divisors = 3124 Now, let's multiply 1875 by 5: 5 * 1875 = 9375 Next, we find the sum of the digits in 9375: 9 + 3 + 7 + 5 = 24 Finally, we divide the sum of the multiplied number's digits, 24, by the sum of divisors, 3124: 24 / 3124 ≈ 0.00768 (rounded to 5 decimal places) So, when the number 1875 is multiplied by 5 and then divided by the sum of its divisors, the result is approximately 0.00768.

Math Question: What is the sum of all the odd multiples of 5, starting from 1875 up to 500 characters long?

To find the sum of all odd multiples of 5 from 1875, we need to consider the arithmetic progression. First, find the largest term below 200 characters: 1995. The formula to find the sum of an arithmetic progression is Sn = (n/2)(2a + (n-1)d), where Sn represents the sum, n is the number of terms, a is the first term, and d is the common difference. Here, a = 1875, d = 10 (as the multiples of 5 are in an increasing pattern), and the largest term is 1995. Substituting these values, we get Sn = (n/2)(3740 + 10n - 10), or simplifying further, Sn = (5n² + 3730n - 3740)/2. Given that the largest term is 1995, we can set up the equation 1995 = 5n² + 3730n - 3740. By solving this quadratic equation, we find n = 15 as a positive whole number. Now, substituting this value into the sum formula, we get Sn = (15/2)(3740 + 10*15 - 10), simplifying further to Sn = 5625. Therefore, the sum of all the odd multiples of 5 from 1875 is 5625.

Math question: What is the sum of all even divisors of the number 1875?

To find the sum of all even divisors of 1875, we begin by prime factorizing the number. 1875 = 3^1 * 5^4. Now, we find all possible combinations of the prime factors, considering even divisors. For the power of 2 in even divisors, we have 0, 2^1, 2^2, 2^3, and 2^4. For the power of 3, we have 3^0 and 3^1. Lastly, for the power of 5, we have 5^0, 5^2, 5^3, and 5^4. Summing all these possible combinations, we get: (2^0 * 3^0 * 5^0) + (2^2 * 3^0 * 5^0) + (2^2 * 3^1 * 5^0) + (2^2 * 3^0 * 5^2) + (2^2 * 3^1 * 5^2) + (2^2 * 3^0 * 5^3) + (2^2 * 3^1 * 5^3) + (2^2 * 3^0 * 5^4) + (2^2 * 3^1 * 5^4) + (2^4 * 3^0 * 5^0) + (2^4 * 3^1 * 5^0) + (2^4 * 3^0 * 5^2) + (2^4 * 3^1 * 5^2) + (2^4 * 3^0 * 5^3) + (2^4 * 3^1 * 5^3) + (2^4 * 3^0 * 5^4) + (2^4 * 3^1 * 5^4) Evaluating this expression, the sum of all even divisors of 1875 is 925,000.

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

1875 (number)

1875 is an odd 4-digits composite number following 1874 and preceding 1876. In scientific notation, it is written as 1.875 × 10^3. The sum of its digits is 21. It has a total of 5 prime factors and 10 positive divisors. There are 1000 positive integers (up to 1875) that are relatively prime to 1875.

Interesting facts

1875 has 10 divisors, whose sum is 3124
The reverse of 1875 is 5781
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 21
Digital Root 3

Name

Name	one thousand eight hundred seventy-five

Notation

Scientific notation	1.875 × 10^3
Engineering notation	1.875 × 10^3

Prime Factorization of 1875

Prime Factorization 3 × 5 × 5 × 5 × 5

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	15	Product of the distinct prime numbers

The prime factorization of 1875 is 3 × 5 × 5 × 5 × 5. Since it has a total of 5 prime factors.

Most popular turbo-numbers

4, 9, 50, 55, 418, 668, 1688, 3287, 99170, 64045, 659950, 82422, 5001187, 1006989, 73712769, 74446758, 411580583, 212357042, 818767672, 4503543450

Basic calculations (n = 1875)

Multiplication

n×y

n×2	3750
n×3	5625
n×4	7500
n×5	9375

Division

n÷y

n÷2	937.5
n÷3	625
n÷3	468.75
n÷5	375

Exponentiation

n^y

n²	3515625
n³	6591796875
n⁴	12359619140625
n⁵	23174285888671875

Nth Root

^y√n

²√n	43.301270189222
³√n	12.331060371652
⁴√n	6.5803700647625
⁵√n	4.5144022572372

Divisors of 1875

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875

10 divisors

τ	Total Divisors	10	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1874	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.1	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	10	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1875 can be divided by 10 positive divisors. The sum of these divisors (counting 1875) is 1, the average is 0.1.

Base conversion 1875

Base	System	Value
2	Binary	11101010011
3	Ternary	2120110
4	Quaternary	131103
5	Quinary	30000
6	Senary	12403
8	Octal	3523
10	Decimal	1875
12	Duodecimal	1103
16	Hexadecimal	753
20	Vigesimal	4df
36	Base36	1g3

Cryptographic Hash Functions

md5	7e9e346dc5fd268b49bf418523af8679
sha1	f0d579502820ee87140d20364532ce6a63a5ae33
sha256	af9d0081b52194599da95da40beac2d1ce5a2ae2d894c6c08dca0c019277aa10
sha512	6036d88bfac7ab6af919a0ea65e4e39900a45c7bc4c190abe9305189a5e4664abee64e656605c77e6eb42ae7e0633d49ff7d17e6e6ed82b08bc3bdf3030e0bbd
ripemd-160	1bc9988e3e19f5b8a58f6ed46b1cfee99a91d75d

1875 as geometric shapes

Circle

Radius = n

Diameter	3750
Circumference	11780.972450962
Area	11044661.672777

Sphere

Radius = n

Volume	27611654181.942
Surface area	44178646.691106
Circumference	11780.972450962

Square

Length = n

Perimeter	7500
Area	3515625
Diagonal	2651.6504294496

Cube

Length = n

Surface area	21093750
Volume	6591796875
Space diagonal	3247.5952641916

Equilateral Triangle

Length = n

Perimeter	5625
Area	1522310.2800898
Altitude	1623.7976320958

Triangular Pyramid

Length = n

Surface area	1522310.2800898
Volume	776850711.7528
Height	883.88347648318