Math Question: What is the square root of 125 to the power of 3, divided by the sum of 25 times the square root of 2 and the cube root of 27?

To solve this, first, we find the cube of the square root of 125, which is 125. Now, let's calculate the sum inside the denominator. The cube root of 27 is 3, and multiplying 25 by the square root of 2 gives us approximately 35.355. Adding them together, we get 38.355. Now, divide 125 cubed by 38.355, giving us approximately 3148.84. Thus, the answer is 3148.84.

Math question: What is the least common multiple (LCM) of 125 with the consecutive integers from 1 to 20?

To find the LCM, we can break down 125 into prime factors: 5^3. Now, let's consider the primes up to 20: 2, 3, 5, 7, 11, 13, 17, 19. Out of these, only 5 is a factor in 125. To get the LCM, we need the highest power of each prime used. Since 5 is common to all, we take 5^3, for 2, 3, and the rest, we take the highest power that they can be raised to and multiply these: 2^4 * 3^2 * 5^3 * 7 * 11 * 13 * 17 * 19 = 232,792,560. Explanation: The least common multiple (LCM) is the smallest number that can be divided evenly by all the given numbers. To find the LCM of 125 with the consecutive integers from 1 to 20, we need to consider the prime factors of 125 (which are 5^3). Then, we analyze the primes up to 20 and determine their highest powers used. This helps us form the LCM by multiplying these prime factors raised to their highest powers. In this scenario, the LCM is 232,792,560, which satisfies the divisibility criteria for all numbers from 1 to 20 and is the minimum value of such a number.

Question: What is the sum of all two-digit odd numbers that are the cubes of numbers between 5 and 12 inclusive?

To find the sum of all two-digit odd numbers that are the cubes of numbers between 5 and 12, we need to identify the numbers whose cube roots fall within this range. The cube of a number is obtained by multiplying the number by itself twice. The cube root of a number is, therefore, the number itself. The possible numbers between 5 and 12 are 5, 6, 7, 8, 9, 10, 11, and 12. Among these possibilities, only the cube of 5 (5^3 = 125) and the cube of 7 (7^3 = 343) are two-digit odd numbers. To find their sum, we add 125 and 343, giving a total of 468. So, the sum of all two-digit odd numbers that are the cubes of numbers between 5 and 12 is 468.

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

125 (number)

125 is an odd 3-digits composite number following 124 and preceding 126. In scientific notation, it is written as 1.25 × 10^2. The sum of its digits is 8. It has a total of 3 prime factors and 4 positive divisors. There are 100 positive integers (up to 125) that are relatively prime to 125.

Interesting facts

125 has 4 divisors, whose sum is 156
The reverse of 125 is 521
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 8
Digital Root 8

Name

Name	one hundred twenty-five

Notation

Scientific notation	1.25 × 10^2
Engineering notation	1.25 × 10^0

Prime Factorization of 125

Prime Factorization 5 × 5 × 5

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	5	Product of the distinct prime numbers

The prime factorization of 125 is 5 × 5 × 5. Since it has a total of 3 prime factors.

Most popular turbo-numbers

2, 4, 87, 85, 38, 946, 3332, 7926, 21730, 79941, 525577, 275391, 5291769, 4490309, 57528902, 37450602, 67120287, 39693635, 1021944357, 1771456015

Basic calculations (n = 125)

Multiplication

n×y

n×2	250
n×3	375
n×4	500
n×5	625

Division

n÷y

n÷2	62.5
n÷3	41.666666666667
n÷3	31.25
n÷5	25

Exponentiation

n^y

n²	15625
n³	1953125
n⁴	244140625
n⁵	30517578125

Nth Root

^y√n

²√n	11.180339887499
³√n	5
⁴√n	3.3437015248821
⁵√n	2.6265278044038

Divisors of 125

1, 5, 25, 125

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	-124	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 125 can be divided by 4 positive divisors. The sum of these divisors (counting 125) is 1, the average is 0.25.

Base conversion 125

Base	System	Value
2	Binary	1111101
3	Ternary	11122
4	Quaternary	1331
5	Quinary	1000
6	Senary	325
8	Octal	175
10	Decimal	125
12	Duodecimal	a5
16	Hexadecimal	7d
20	Vigesimal	65
36	Base36	3h

Cryptographic Hash Functions

md5	3def184ad8f4755ff269862ea77393dd
sha1	0ca9277f91e40054767f69afeb0426711ca0fddd
sha256	0f8ef3377b30fc47f96b48247f463a726a802f62f3faa03d56403751d2f66c67
sha512	b7953ae09943b8bec668936bd8bda735a8262a1cbe3b6cb372d755f708c380e33b4acb0724dafb7e531bdcf65c7da688ca9f1701091d0f0a72269d400514618a
ripemd-160	4ab900f63f88f4cde580a34d595f498a79d9d572

125 as geometric shapes

Circle

Radius = n

Diameter	250
Circumference	785.39816339745
Area	49087.385212341

Sphere

Radius = n

Volume	8181230.8687234
Surface area	196349.54084936
Circumference	785.39816339745

Square

Length = n

Perimeter	500
Area	15625
Diagonal	176.77669529664

Cube

Length = n

Surface area	93750
Volume	1953125
Space diagonal	216.50635094611

Equilateral Triangle

Length = n

Perimeter	375
Area	6765.8234670659
Altitude	108.25317547305

Triangular Pyramid

Length = n

Surface area	6765.8234670659
Volume	230177.9886675
Height	58.925565098879