Question: What is the square root of 60 divided by the product of 3 and the sum of 5 and the cube root of 8?

The square root of 60 is approximately 7.745966692414834. The cube root of 8 is approximately 2. A sum of 5 and 2 equals 7. Therefore, the product of 3 and the sum of 5 and the cube root of 8 equals 3 * 7 = 21. Finally, dividing the square root of 60 (7.745966692414834) by 21 gives an approximate quotient of 0.3692841286864173.

Question: A number is multiplied by 10 and then divided by 4. The result is equal to 15 more than 3 times the number. What is the number?

Let's assume the number is represented by 'x'. According to the given conditions, the equation can be written as (10x/4) = 3x + 15. Simplifying this equation, we get 2.5x = 3x + 15. Rearranging, we have -0.5x = 15. Dividing by -0.5, we find x = -30. Therefore, the number is -30.

Math question: If a person has 60 apples and gives away x apples equally to 5 friends, how many apples will each friend receive?

To determine the number of apples each friend receives, divide the total number of apples (60) by the number of friends (5). Using division, 60 ÷ 5 = 12. Thus, each friend will receive 12 apples. If there are any remaining apples, they will not be evenly distributed among the friends. This question illustrates the concept of dividing a given quantity (60) amongst equal parts (5 friends) to find the quantity per part. Division allows us to distribute resources or objects equally, providing a clear understanding of fair allocation and equal distribution. Mathematics provides practical tools to solve real-life problems, aiding in decision-making and resource management.

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

60 (number)

60 is an even 2-digits composite number following 59 and preceding 61. In scientific notation, it is written as 6.0 × 10^1. The sum of its digits is 6. It has a total of 4 prime factors and 12 positive divisors. There are 16 positive integers (up to 60) that are relatively prime to 60.

Interesting facts

60 has 12 divisors, whose sum is 168
The reverse of 60 is 06
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 2
Sum of Digits 6
Digital Root 6

Name

Name	sixty

Notation

Scientific notation	6.0 × 10^1
Engineering notation	6.0 × 10^0

Prime Factorization of 60

Prime Factorization 2 × 2 × 5 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	30	Product of the distinct prime numbers

The prime factorization of 60 is 2 × 2 × 5 × 3. Since it has a total of 4 prime factors.

Most popular turbo-numbers

2, 9, 95, 76, 777, 861, 3603, 6150, 76551, 2753, 891854, 140827, 1208629, 7135936, 46846077, 16151679, 551178212, 770452197, 9601494020, 1360915357

Basic calculations (n = 60)

Multiplication

n×y

n×2	120
n×3	180
n×4	240
n×5	300

Division

n÷y

n÷2	30
n÷3	20
n÷3	15
n÷5	12

Exponentiation

n^y

n²	3600
n³	216000
n⁴	12960000
n⁵	777600000

Nth Root

^y√n

²√n	7.7459666924148
³√n	3.9148676411689
⁴√n	2.7831576837137
⁵√n	2.2679331552661

Divisors of 60

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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	-59	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 60 can be divided by 12 positive divisors. The sum of these divisors (counting 60) is 1, the average is 0.083333333333333.

Base conversion 60

Base	System	Value
2	Binary	111100
3	Ternary	2020
4	Quaternary	330
5	Quinary	220
6	Senary	140
8	Octal	74
10	Decimal	60
12	Duodecimal	50
16	Hexadecimal	3c
20	Vigesimal	30
36	Base36	1o

Cryptographic Hash Functions

md5	072b030ba126b2f4b2374f342be9ed44
sha1	e6c3dd630428fd54834172b8fd2735fed9416da4
sha256	39fa9ec190eee7b6f4dff1100d6343e10918d044c75eac8f9e9a2596173f80c9
sha512	26344e270809236abfb6f5ecff13d93d7ecb570a4d2003515abb3aed1c5af45f0fb064b17551d6570a60c14eeac482e54998565def6eaafc61399ba08398c929
ripemd-160	bff26fb3a4ebdf94011e99ab9e8878780707468b

60 as geometric shapes

Circle

Radius = n

Diameter	120
Circumference	376.99111843078
Area	11309.733552923

Sphere

Radius = n

Volume	904778.68423386
Surface area	45238.934211693
Circumference	376.99111843078

Square

Length = n

Perimeter	240
Area	3600
Diagonal	84.852813742386

Cube

Length = n

Surface area	21600
Volume	216000
Space diagonal	103.92304845413

Equilateral Triangle

Length = n

Perimeter	180
Area	1558.845726812
Altitude	51.961524227066

Triangular Pyramid

Length = n

Surface area	1558.845726812
Volume	25455.844122716
Height	28.284271247462