1,027,200
1,027,200 is a composite number, even.
1,027,200 (one million twenty-seven thousand two hundred) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3 × 5² × 107. Its proper divisors sum to 2,387,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAC80.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 27,201
- Square (n²)
- 1,055,139,840,000
- Cube (n³)
- 1,083,839,643,648,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,414,960
- φ(n) — Euler's totient
- 271,360
- Sum of prime factors
- 134
Primality
Prime factorization: 2 7 × 3 × 5 2 × 107
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,027,200 = [1013; (1, 1, 28, 20, 4, 3, 1, 15, 1, 80, 7, 7, 1, 505, 1, 7, 7, 80, 1, 15, 1, 3, 4, 20, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one million twenty-seven thousand two hundred
- Ordinal
- 1027200th
- Binary
- 11111010110010000000
- Octal
- 3726200
- Hexadecimal
- 0xFAC80
- Base64
- D6yA
- One's complement
- 4,293,940,095 (32-bit)
- Scientific notation
- 1.0272 × 10⁶
- As a duration
- 1,027,200 s = 11 days, 21 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Chinese
- 一百零二萬七千二百
- Chinese (financial)
- 壹佰零貳萬柒仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027200, here are decompositions:
- 11 + 1027189 = 1027200
- 19 + 1027181 = 1027200
- 37 + 1027163 = 1027200
- 47 + 1027153 = 1027200
- 61 + 1027139 = 1027200
- 71 + 1027129 = 1027200
- 73 + 1027127 = 1027200
- 103 + 1027097 = 1027200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.172.128.
- Address
- 0.15.172.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.172.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Sunday, January 2, 7200 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 7200-02-01 (DMMYYYY (Euro, single-digit day))
- 7200-10-02 (MMDYYYY (US, single-digit day))
- 7200-02-10 (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 1,027,200 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°.