What is the sum of all positive integers less than 4940 that are not divisible by 3 but are divisible by 5?

To find the sum, we can use the formula for the sum of an arithmetic series, which is Sn = n/2(first term + last term) where n is the number of terms. First, we find the number of terms using the formula an = a1 + (n-1)d, where an is the last term, a1 is the first term, and d is the common difference. From the given conditions, the first term a1 is 4945 (closest to 4940 divisible by 5), the common difference d is 5, and the last term an should be below 4940. So, 4945 + (n-1)5 < 4940. Simplifying, we get n < 199. Thus, the number of terms is 198 (1 to 198). We can now calculate the sum, which is Sn = 198/2(4945 + 4940) = 99(9885) = 978,015. Therefore, the sum of all positive integers less than 4940 that are not divisible by 3 but are divisible by 5 is 978,015.

Math question: What is the sum of all the prime numbers less than or equal to 4940?

To find the sum of prime numbers up to 4940, we need to identify all the primes in this range. Starting with 2, we check if each number is divisible by any prime less than its square root. Continuing this process, we find 652 prime numbers within the given range. Calculating the sum of these primes, we get the final answer.

Math question: How many four-digit numbers can be formed using the digits 4, 9, and 0?

To find the number of four-digit numbers, we can use the concept of permutations. Since the first digit cannot be zero, we have two options available (4 and 9). For the remaining three digits, any of the three available digits can be selected. So, the total number of four-digit numbers is 2 × 3 × 3 × 3 = 54.

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

4940 (number)

Q: Math question: What is the sum of all the prime numbers less than or equal to 4940?

To find the sum of prime numbers up to 4940, we need to identify all the primes in this range. Starting with 2, we check if each number is divisible by any prime less than its square root. Continuing this process, we find 652 prime numbers within the given range. Calculating the sum of these primes, we get the final answer.

Q: Math question: How many four-digit numbers can be formed using the digits 4, 9, and 0?

To find the number of four-digit numbers, we can use the concept of permutations. Since the first digit cannot be zero, we have two options available (4 and 9). For the remaining three digits, any of the three available digits can be selected. So, the total number of four-digit numbers is 2 × 3 × 3 × 3 = 54.

4940 is an even 4-digits composite number following 4939 and preceding 4941. In scientific notation, it is written as 4.940 × 10^3. The sum of its digits is 17. It has a total of 4 prime factors and 12 positive divisors. There are 1728 positive integers (up to 4940) that are relatively prime to 4940.

Interesting facts

4940 has 12 divisors, whose sum is 9240
The reverse of 4940 is 0494
Previous prime number is 65

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 17
Digital Root 8

Name

Name	four thousand nine hundred forty

Notation

Scientific notation	4.940 × 10^3
Engineering notation	4.940 × 10^3

Prime Factorization of 4940

Prime Factorization 2 × 2 × 65 × 19

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	2470	Product of the distinct prime numbers

The prime factorization of 4940 is 2 × 2 × 65 × 19. Since it has a total of 4 prime factors.

Most popular turbo-numbers

2, 4, 65, 33, 750, 422, 3188, 2904, 44708, 86665, 660354, 460826, 9521834, 2689750, 93581942, 36307667, 354328893, 367738587, 9291327182, 8216274067

Basic calculations (n = 4940)

Multiplication

n×y

n×2	9880
n×3	14820
n×4	19760
n×5	24700

Division

n÷y

n÷2	2470
n÷3	1646.6666666667
n÷3	1235
n÷5	988

Exponentiation

n^y

n²	24403600
n³	120553784000
n⁴	595535692960000
n⁵	2941946323222400000

Nth Root

^y√n

²√n	70.285133563222
³√n	17.031084994053
⁴√n	8.383622937801
⁵√n	5.4795562534664

Divisors of 4940

1, 2, 4, 19, 38, 65, 76, 130, 260, 1235, 2470, 4940

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	-4939	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 4940 can be divided by 12 positive divisors. The sum of these divisors (counting 4940) is 1, the average is 0.083333333333333.

Base conversion 4940

Base	System	Value
2	Binary	1001101001100
3	Ternary	20202222
4	Quaternary	1031030
5	Quinary	124230
6	Senary	34512
8	Octal	11514
10	Decimal	4940
12	Duodecimal	2a38
16	Hexadecimal	134c
20	Vigesimal	c70
36	Base36	3t8

Cryptographic Hash Functions

md5	2458ab18be2a140a1cfb932dd96f25d6
sha1	f607bb7546e94612a7d3d3f2e4ab918b0a135046
sha256	468aa3110cc6849759a36fda915c5f1f3b13c20c1a877a385136eec9fa8b7b2b
sha512	b6e5c3b7679f191ad99ba41056041836cc1b00c71867dbfdf06b0bd3df57c9028188ef239a6d88247d34f7f08af843cdcbab0252d752f23dd5f2be4d62e1c5c5
ripemd-160	b9f38f3c30ce699a78d47f7be1e71c88cabd2eed

4940 as geometric shapes

Circle

Radius = n

Diameter	9880
Circumference	31038.935417467
Area	76666170.481144

Sphere

Radius = n

Volume	504974509569.13
Surface area	306664681.92458
Circumference	31038.935417467

Square

Length = n

Perimeter	19760
Area	24403600
Diagonal	6986.2149981231

Cube

Length = n

Surface area	146421600
Volume	120553784000
Space diagonal	8556.3309893903

Equilateral Triangle

Length = n

Perimeter	14820
Area	10567068.771897
Altitude	4278.1654946951

Triangular Pyramid

Length = n

Surface area	10567068.771897
Volume	14207399694.016
Height	2328.7383327077