Is 2,400,120 a Prime Number?
No, 2,400,120 is not a prime number
Number Properties
- Value:2,400,120
- Number Type:Even, Positive
- Digit Sum:9
- Total Digits:7
- Binary:1001001001111101111000
- Hexadecimal:249F78
Prime Status
2,400,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 59 × 113
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 59, 60, 72, 90, 113, 118, 120, 177, 180, 226, 236, 295, 339, 354, 360, 452, 472, 531, 565, 590, 678, 708, 885, 904, 1017, 1062, 1130, 1180, 1356, 1416, 1695, 1770, 2034, 2124, 2260, 2360, 2655, 2712, 3390, 3540, 4068, 4248, 4520, 5085, 5310, 6667, 6780, 7080, 8136, 10170, 10620, 13334, 13560, 20001, 20340, 21240, 26668, 33335, 40002, 40680, 53336, 60003, 66670, 80004, 100005, 120006, 133340, 160008, 200010, 240012, 266680, 300015, 400020, 480024, 600030, 800040, 1200060, 2400120
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.