Math question: A number is equal to 67 divided by 3, multiplied by 2, then decreased by 5. What is the resulting number?

To find the resulting number, we first divide 67 by 3 to get 22.333. Then, multiply it by 2 to get 44.667, and finally, decrease it by 5 to obtain 39.667. Therefore, the resulting number is approximately 39.667.

Question: What is the sum of all positive integers less than or equal to 67?

In order to find the sum, we can utilize the formula for the sum of an arithmetic series. The first term, a, is 1 and the last term, l, is 67. The common difference, d, is 1 since we are summing consecutive integers. We can calculate the number of terms, n, using the formula (l - a)/d + 1 = (67 - 1)/1 + 1 = 67. Now, we can apply the formula for the sum of an arithmetic series, Sn = n/2 * (a + l) = 67/2 * (1 + 67) = 67/2 * 68 = 2278. Therefore, the sum of all positive integers less than or equal to 67 is 2278.

What is the sum of 67 and its double, multiplied by half of its square root, divided by its cube, subtracted by the quantity of its factorial, and finally added to the result when multiplied by 3?

The sum of 67 and its double is 67 + (2 × 67) = 201. The square root of 67 is √67 ≈ 8.185. Half of the square root is 8.185/2 ≈ 4.0925. The cube of 67 is 67^3 = 300763. Dividing 4.0925 by 300763 gives 0.00001361. The factorial of 67 is 67! = 5.386 × 10^98. Subtracting 5.386 × 10^98 from 0.00001361 gives approximately -5.386 × 10^98. Multiplying this result by 3 gives -1.616 × 10^98. Finally, adding -1.616 × 10^98 to 201 gives us the answer of approximately 1.99999999999999999999999999999999999999999999999999999998 × 10^98.

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

67 (number)

67 is an odd 2-digits prime number following 66 and preceding 68. In scientific notation, it is written as 6.7 × 10^1. The sum of its digits is 13. It has a total of 1 prime factors and 2 positive divisors. There are 66 positive integers (up to 67) that are relatively prime to 67.

Interesting facts

67 has 2 divisors, whose sum is 68
The reverse of 67 is 76
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 2
Sum of Digits 13
Digital Root 4

Name

Name	sixty-seven

Notation

Scientific notation	6.7 × 10^1
Engineering notation	6.7 × 10^0

Prime Factorization of 67

Prime Factorization 67

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	67	Product of the distinct prime numbers

The prime factorization of 67 is 67. Since it has a total of 1 prime factors.

Most popular turbo-numbers

7, 3, 15, 21, 835, 292, 9394, 1317, 21478, 1167, 10364, 523737, 3264252, 3787962, 18833288, 16677339, 59156947, 143076745, 8207861767, 2099983200

Basic calculations (n = 67)

Multiplication

n×y

n×2	134
n×3	201
n×4	268
n×5	335

Division

n÷y

n÷2	33.5
n÷3	22.333333333333
n÷3	16.75
n÷5	13.4

Exponentiation

n^y

n²	4489
n³	300763
n⁴	20151121
n⁵	1350125107

Nth Root

^y√n

²√n	8.1853527718725
³√n	4.0615481004457
⁴√n	2.8610055525763
⁵√n	2.3185419629781

Divisors of 67

1, 67

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	68	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	34	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	8.2462112512353	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9705882352941	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 67 can be divided by 2 positive divisors. The sum of these divisors (counting 67) is 68, the average is 34.

Base conversion 67

Base	System	Value
2	Binary	1000011
3	Ternary	2111
4	Quaternary	1003
5	Quinary	232
6	Senary	151
8	Octal	103
10	Decimal	67
12	Duodecimal	57
16	Hexadecimal	43
20	Vigesimal	37
36	Base36	1v

Cryptographic Hash Functions

md5	735b90b4568125ed6c3f678819b6e058
sha1	4d89d294cd4ca9f2ca57dc24a53ffb3ef5303122
sha256	49d180ecf56132819571bf39d9b7b342522a2ac6d23c1418d3338251bfe469c8
sha512	ce4dd661e4d69073c7999282048ea9ee91932db0d699f8b13b2db70fe532d987ac4a0aef309b82e1ad2aa6c2f2f60473093cd1e399a737cff3f9e70585d36be7
ripemd-160	a8da161433e619604752a22b6538aca73b4ca9f2

67 as geometric shapes

Circle

Radius = n

Diameter	134
Circumference	420.97341558103
Area	14102.609421965

Sphere

Radius = n

Volume	1259833.1083622
Surface area	56410.437687858
Circumference	420.97341558103

Square

Length = n

Perimeter	268
Area	4489
Diagonal	94.752308678997

Cube

Length = n

Surface area	26934
Volume	300763
Space diagonal	116.04740410711

Equilateral Triangle

Length = n

Perimeter	201
Area	1943.7940187942
Altitude	58.023702053557

Triangular Pyramid

Length = n

Surface area	1943.7940187942
Volume	35445.259471668
Height	31.584102892999