1,024,800
1,024,800 is a composite number, even.
1,024,800 (one million twenty-four thousand eight hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3 × 5² × 7 × 61. Its proper divisors sum to 2,849,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA320.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 84,201
- Square (n²)
- 1,050,215,040,000
- Cube (n³)
- 1,076,260,372,992,000,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,874,752
- φ(n) — Euler's totient
- 230,400
- Sum of prime factors
- 91
Primality
Prime factorization: 2 5 × 3 × 5 2 × 7 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,024,800 = [1012; (3, 11, 1, 1, 1, 4, 1, 19, 2, 2, 1, 3, 8, 1, 3, 2, 1, 80, 3, 2, 2, 2, 1, 1, …)]
Period length 56 — the block in parentheses repeats forever.
Representations
- In words
- one million twenty-four thousand eight hundred
- Ordinal
- 1024800th
- Binary
- 11111010001100100000
- Octal
- 3721440
- Hexadecimal
- 0xFA320
- Base64
- D6Mg
- One's complement
- 4,293,942,495 (32-bit)
- Scientific notation
- 1.0248 × 10⁶
- As a duration
- 1,024,800 s = 11 days, 20 hours, 40 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Chinese
- 一百零二萬四千八百
- Chinese (financial)
- 壹佰零貳萬肆仟捌佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024800, here are decompositions:
- 17 + 1024783 = 1024800
- 43 + 1024757 = 1024800
- 71 + 1024729 = 1024800
- 79 + 1024721 = 1024800
- 89 + 1024711 = 1024800
- 97 + 1024703 = 1024800
- 103 + 1024697 = 1024800
- 107 + 1024693 = 1024800
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.163.32.
- Address
- 0.15.163.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.163.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Sunday, January 2, 4800 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 4800-02-01 (DMMYYYY (Euro, single-digit day))
- 4800-10-02 (MMDYYYY (US, single-digit day))
- 4800-02-10 (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 1,024,800 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°.