1,027,728
1,027,728 is a composite number, even.
1,027,728 (one million twenty-seven thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 100 divisors, and factors as 2⁴ × 3⁴ × 13 × 61. Its proper divisors sum to 2,228,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAE90.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 8,277,201
- Square (n²)
- 1,056,224,841,984
- Cube (n³)
- 1,085,511,844,402,532,352
- Divisor count
- 100
- σ(n) — sum of divisors
- 3,255,868
- φ(n) — Euler's totient
- 311,040
- Sum of prime factors
- 94
Primality
Prime factorization: 2 4 × 3 4 × 13 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,027,728 = [1013; (1, 3, 3, 224, 1, 37, 1, 224, 3, 3, 1, 2026)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one million twenty-seven thousand seven hundred twenty-eight
- Ordinal
- 1027728th
- Binary
- 11111010111010010000
- Octal
- 3727220
- Hexadecimal
- 0xFAE90
- Base64
- D66Q
- One's complement
- 4,293,939,567 (32-bit)
- Scientific notation
- 1.027728 × 10⁶
- As a duration
- 1,027,728 s = 11 days, 21 hours, 28 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Chinese
- 一百零二萬七千七百二十八
- Chinese (financial)
- 壹佰零貳萬柒仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027728, here are decompositions:
- 11 + 1027717 = 1027728
- 41 + 1027687 = 1027728
- 131 + 1027597 = 1027728
- 137 + 1027591 = 1027728
- 179 + 1027549 = 1027728
- 181 + 1027547 = 1027728
- 239 + 1027489 = 1027728
- 241 + 1027487 = 1027728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.174.144.
- Address
- 0.15.174.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.174.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Friday, January 2, 7728 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 7728-02-01 (DMMYYYY (Euro, single-digit day))
- 7728-10-02 (MMDYYYY (US, single-digit day))
- 7728-02-10 (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 1,027,728 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°.