1,048,800
1,048,800 is a composite number, even.
1,048,800 (one million forty-eight thousand eight hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3 × 5² × 19 × 23. Its proper divisors sum to 2,700,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1000E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 21 bits
- Reversed
- 88,401
- Square (n²)
- 1,099,981,440,000
- Cube (n³)
- 1,153,660,534,272,000,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,749,760
- φ(n) — Euler's totient
- 253,440
- Sum of prime factors
- 65
Primality
Prime factorization: 2 5 × 3 × 5 2 × 19 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,048,800 = [1024; (9, 6, 1, 40, 1, 15, 1, 19, 1, 1, 5, 1, 1, 2, 2, 20, 1, 11, 6, 81, 1, 3, 4, 10, …)]
Representations
- In words
- one million forty-eight thousand eight hundred
- Ordinal
- 1048800th
- Binary
- 100000000000011100000
- Octal
- 4000340
- Hexadecimal
- 0x1000E0
- Base64
- EADg
- One's complement
- 4,293,918,495 (32-bit)
- Scientific notation
- 1.0488 × 10⁶
- As a duration
- 1,048,800 s = 12 days, 3 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Chinese
- 一百零四萬八千八百
- Chinese (financial)
- 壹佰零肆萬捌仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048800, here are decompositions:
- 7 + 1048793 = 1048800
- 17 + 1048783 = 1048800
- 41 + 1048759 = 1048800
- 79 + 1048721 = 1048800
- 83 + 1048717 = 1048800
- 97 + 1048703 = 1048800
- 139 + 1048661 = 1048800
- 167 + 1048633 = 1048800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.16.0.224.
- Address
- 0.16.0.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.16.0.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 8800 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 8800-04-01 (DMMYYYY (Euro, single-digit day))
- 8800-10-04 (MMDYYYY (US, single-digit day))
- 8800-04-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,048,800 and was likely granted around 1912.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.