Question: What is the sum of the prime factors of the square root of the product of the ones digit of 195 divided by the cube root of 195, multiplied by the square root of 195 raised to the power of the number of factors of 195?

To find the solution, we start by breaking down 195. The ones digit is 5, so we take the square root of 5, which gives us approximately 2.236. Now, we calculate the cube root of 195, approximately 5.848. Next, we multiply these values: 2.236 * 5.848 ≈ 13.047. Moving on, we calculate the number of factors of 195. It has 6 factors: 1, 3, 5, 13, 15, and 39. Now, we find the square root of 195, which is approximately 13.928, and raise it to the power of 6 (the number of factors), which gives us approximately 7819.115. Finally, we sum the prime factors of this result: 7 + 8 + 1 + 9 + 1 + 1 + 5 = 32. Hence, the sum of the prime factors is 32.

Question: What is the product of the prime factors of 195?

To find the prime factors of 195, we divide it by prime numbers starting from 2. Dividing 195 by 2 gives us 97. Since 97 is a prime number, the prime factors of 195 are 3, 5, 13, and 97. The product of these prime factors is 3 * 5 * 13 * 97 = 15,645. Thus, the product of the prime factors of 195 is 15,645.

Question: The sum of a number and its square is equal to 195. What could the number be?

Let's represent the number as 'x'. According to the question, the equation is x + x^2 = 195. To find the solutions, we can rearrange the equation to form a quadratic equation: x^2 + x - 195 = 0. By applying the quadratic formula, we get x = (-1 ± √(1 + 4(195))) / 2. Simplifying further, we get x = (-1 ± √(781)) / 2. Therefore, the possible values for 'x' are (-1 + √781) / 2 and (-1 - √781) / 2. To verify this, we can substitute these values back into the original equation. For example, for x = (-1 + √781) / 2, we have (-1 + √781) / 2 + ((-1 + √781) / 2)^2 = 195. After simplification, we find that this equation is indeed satisfied. Similarly, we can verify for the other solution.

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

195 (number)

195 is an odd 3-digits composite number following 194 and preceding 196. In scientific notation, it is written as 1.95 × 10^2. The sum of its digits is 15. It has a total of 2 prime factors and 4 positive divisors. There are 96 positive integers (up to 195) that are relatively prime to 195.

Interesting facts

195 has 4 divisors, whose sum is 224
The reverse of 195 is 591
Previous prime number is 15

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 15
Digital Root 6

Name

Name	one hundred ninety-five

Notation

Scientific notation	1.95 × 10^2
Engineering notation	1.95 × 10^0

Prime Factorization of 195

Prime Factorization 15 × 13

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	195	Product of the distinct prime numbers

The prime factorization of 195 is 15 × 13. Since it has a total of 2 prime factors.

Most popular turbo-numbers

2, 8, 81, 8, 858, 928, 6066, 9200, 97099, 61433, 644429, 19117, 3567082, 3162578, 13569628, 14507000, 194249661, 680501791, 4894101684, 519244480

Basic calculations (n = 195)

Multiplication

n×y

n×2	390
n×3	585
n×4	780
n×5	975

Division

n÷y

n÷2	97.5
n÷3	65
n÷3	48.75
n÷5	39

Exponentiation

n^y

n²	38025
n³	7414875
n⁴	1445900625
n⁵	281950621875

Nth Root

^y√n

²√n	13.964240043769
³√n	5.798889997649
⁴√n	3.7368757062242
⁵√n	2.8708263401098

Divisors of 195

1, 13, 15, 195

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-194	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 195 can be divided by 4 positive divisors. The sum of these divisors (counting 195) is 1, the average is 0.25.

Base conversion 195

Base	System	Value
2	Binary	11000011
3	Ternary	21020
4	Quaternary	3003
5	Quinary	1240
6	Senary	523
8	Octal	303
10	Decimal	195
12	Duodecimal	143
16	Hexadecimal	c3
20	Vigesimal	9f
36	Base36	5f

Cryptographic Hash Functions

md5	0336dcbab05b9d5ad24f4333c7658a0e
sha1	752ae7bdbb96bf25280b55990570beabf2048ce0
sha256	1dfacb2ea5a03e0a915999e03b5a56196f1b1664d2f768d1b7eff60ac059789d
sha512	7a3dc8df4d8d7bd696f823eca286d72ef86ca176bffb84cf701ae6620247757a4fda28613043037d16b3970d2871461f60abb3944a936ad21538d1c27252d017
ripemd-160	6b7c60e7f3e6e0d6ff385d7dfc77183bfa5b6f9f

195 as geometric shapes

Circle

Radius = n

Diameter	390
Circumference	1225.2211349
Area	119459.06065275

Sphere

Radius = n

Volume	31059355.769715
Surface area	477836.24261101
Circumference	1225.2211349

Square

Length = n

Perimeter	780
Area	38025
Diagonal	275.77164466275

Cube

Length = n

Surface area	228150
Volume	7414875
Space diagonal	337.74990747593

Equilateral Triangle

Length = n

Perimeter	585
Area	16465.307989452
Altitude	168.87495373797

Triangular Pyramid

Length = n

Surface area	16465.307989452
Volume	873851.3990251
Height	91.923881554251