1,024,320
1,024,320 is a composite number, even.
1,024,320 (one million twenty-four thousand three hundred twenty) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 3 × 5 × 11 × 97. Its proper divisors sum to 2,560,128, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA140.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 234,201
- Square (n²)
- 1,049,231,462,400
- Cube (n³)
- 1,074,748,771,565,568,000
- Divisor count
- 112
- σ(n) — sum of divisors
- 3,584,448
- φ(n) — Euler's totient
- 245,760
- Sum of prime factors
- 128
Primality
Prime factorization: 2 6 × 3 × 5 × 11 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,024,320 = [1012; (11, 1, 1, 505, 1, 1, 11, 2024)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one million twenty-four thousand three hundred twenty
- Ordinal
- 1024320th
- Binary
- 11111010000101000000
- Octal
- 3720500
- Hexadecimal
- 0xFA140
- Base64
- D6FA
- One's complement
- 4,293,942,975 (32-bit)
- Scientific notation
- 1.02432 × 10⁶
- As a duration
- 1,024,320 s = 11 days, 20 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Chinese
- 一百零二萬四千三百二十
- Chinese (financial)
- 壹佰零貳萬肆仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024320, here are decompositions:
- 7 + 1024313 = 1024320
- 13 + 1024307 = 1024320
- 43 + 1024277 = 1024320
- 71 + 1024249 = 1024320
- 113 + 1024207 = 1024320
- 131 + 1024189 = 1024320
- 137 + 1024183 = 1024320
- 149 + 1024171 = 1024320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.161.64.
- Address
- 0.15.161.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.161.64
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Friday, January 2, 4320 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 4320-02-01 (DMMYYYY (Euro, single-digit day))
- 4320-10-02 (MMDYYYY (US, single-digit day))
- 4320-02-10 (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 1,024,320 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°.