1,023,264
1,023,264 is a composite number, even.
1,023,264 (one million twenty-three thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 11 × 17 × 19. Its proper divisors sum to 2,514,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9D20.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 4,623,201
- Square (n²)
- 1,047,069,213,696
- Cube (n³)
- 1,071,428,231,883,423,744
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,538,080
- φ(n) — Euler's totient
- 276,480
- Sum of prime factors
- 63
Primality
Prime factorization: 2 5 × 3 2 × 11 × 17 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,023,264 = [1011; (1, 1, 3, 2, 1, 19, 1, 1, 6, 1, 1, 19, 1, 2, 3, 1, 1, 2022)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- one million twenty-three thousand two hundred sixty-four
- Ordinal
- 1023264th
- Binary
- 11111001110100100000
- Octal
- 3716440
- Hexadecimal
- 0xF9D20
- Base64
- D50g
- One's complement
- 4,293,944,031 (32-bit)
- Scientific notation
- 1.023264 × 10⁶
- As a duration
- 1,023,264 s = 11 days, 20 hours, 14 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Chinese
- 一百零二萬三千二百六十四
- Chinese (financial)
- 壹佰零貳萬參仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1023264, here are decompositions:
- 5 + 1023259 = 1023264
- 7 + 1023257 = 1023264
- 37 + 1023227 = 1023264
- 43 + 1023221 = 1023264
- 61 + 1023203 = 1023264
- 97 + 1023167 = 1023264
- 101 + 1023163 = 1023264
- 131 + 1023133 = 1023264
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.157.32.
- Address
- 0.15.157.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.157.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 3264 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 3264-02-01 (DMMYYYY (Euro, single-digit day))
- 3264-10-02 (MMDYYYY (US, single-digit day))
- 3264-02-10 (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 1,023,264 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°.