# 100723400 (number)

100,723,400 (one hundred million seven hundred twenty-three thousand four hundred) is an even nine-digits composite number following 100723399 and preceding 100723401. In scientific notation, it is written as 1.007234 × 108. The sum of its digits is 17. It has a total of 7 prime factors and 48 positive divisors. There are 40,135,680 positive integers (up to 100723400) that are relatively prime to 100723400.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 9
• Sum of Digits 17
• Digital Root 8

## Name

Short name 100 million 723 thousand 400 one hundred million seven hundred twenty-three thousand four hundred

## Notation

Scientific notation 1.007234 × 108 100.7234 × 106

## Prime Factorization of 100723400

Prime Factorization 23 × 52 × 313 × 1609

Composite number
Distinct Factors Total Factors Radical ω(n) 4 Total number of distinct prime factors Ω(n) 7 Total number of prime factors rad(n) 5036170 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 100,723,400 is 23 × 52 × 313 × 1609. Since it has a total of 7 prime factors, 100,723,400 is a composite number.

## Divisors of 100723400

48 divisors

 Even divisors 36 12 12 0
Total Divisors Sum of Divisors Aliquot Sum τ(n) 48 Total number of the positive divisors of n σ(n) 2.35076e+08 Sum of all the positive divisors of n s(n) 1.34353e+08 Sum of the proper positive divisors of n A(n) 4.89742e+06 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 10036.1 Returns the nth root of the product of n divisors H(n) 20.5666 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 100,723,400 can be divided by 48 positive divisors (out of which 36 are even, and 12 are odd). The sum of these divisors (counting 100,723,400) is 235,076,100, the average is 4,897,418,.75.

## Other Arithmetic Functions (n = 100723400)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 40135680 Total number of positive integers not greater than n that are coprime to n λ(n) 104520 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 5793336 Total number of primes less than or equal to n r2(n) 48 The number of ways n can be represented as the sum of 2 squares

There are 40,135,680 positive integers (less than 100,723,400) that are coprime with 100,723,400. And there are approximately 5,793,336 prime numbers less than or equal to 100,723,400.

## Divisibility of 100723400

 m n mod m 2 3 4 5 6 7 8 9 0 2 0 0 2 1 0 8

The number 100,723,400 is divisible by 2, 4, 5 and 8.

• Abundant

• Polite
• Practical

## Base conversion (100723400)

Base System Value
2 Binary 110000000001110101011001000
3 Ternary 21000112021112022
4 Quaternary 12000032223020
5 Quinary 201241122100
6 Senary 13554504012
8 Octal 600165310
10 Decimal 100723400
12 Duodecimal 29895008
20 Vigesimal 1b9a8a0
36 Base36 1nyuo8

## Basic calculations (n = 100723400)

### Multiplication

n×y
 n×2 201446800 302170200 402893600 503617000

### Division

n÷y
 n÷2 5.03617e+07 3.35745e+07 2.51808e+07 2.01447e+07

### Exponentiation

ny
 n2 10145203307560000 1021859370828688904000000 102925150151726363953153600000000 10366971068792395246999071314240000000000

### Nth Root

y√n
 2√n 10036.1 465.275 100.18 39.8681

## 100723400 as geometric shapes

### Circle

 Diameter 2.01447e+08 6.32864e+08 3.18721e+16

### Sphere

 Volume 4.28035e+24 1.27488e+17 6.32864e+08

### Square

Length = n
 Perimeter 4.02894e+08 1.01452e+16 1.42444e+08

### Cube

Length = n
 Surface area 6.08712e+16 1.02186e+24 1.74458e+08

### Equilateral Triangle

Length = n
 Perimeter 3.0217e+08 4.393e+15 8.7229e+07

### Triangular Pyramid

Length = n
 Surface area 1.7572e+16 1.20427e+23 8.22403e+07
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