1,006,320
1,006,320 is a composite number, even.
1,006,320 (one million six thousand three hundred twenty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 599. Its proper divisors sum to 2,564,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5AF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 236,001
- Square (n²)
- 1,012,679,942,400
- Cube (n³)
- 1,019,080,079,635,968,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 3,571,200
- φ(n) — Euler's totient
- 229,632
- Sum of prime factors
- 622
Primality
Prime factorization: 2 4 × 3 × 5 × 7 × 599
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,006,320 = [1003; (6, 2, 4, 1, 1, 3, 4, 7, 1, 4, 1, 2, 8, 1, 1, 1, 1, 11, 3, 1, 2, 1, 7, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one million six thousand three hundred twenty
- Ordinal
- 1006320th
- Binary
- 11110101101011110000
- Octal
- 3655360
- Hexadecimal
- 0xF5AF0
- Base64
- D1rw
- One's complement
- 4,293,960,975 (32-bit)
- Scientific notation
- 1.00632 × 10⁶
- As a duration
- 1,006,320 s = 11 days, 15 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
- Chinese
- 一百萬六千三百二十
- Chinese (financial)
- 壹佰萬陸仟參佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006320, here are decompositions:
- 11 + 1006309 = 1006320
- 13 + 1006307 = 1006320
- 17 + 1006303 = 1006320
- 19 + 1006301 = 1006320
- 41 + 1006279 = 1006320
- 53 + 1006267 = 1006320
- 67 + 1006253 = 1006320
- 71 + 1006249 = 1006320
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.240.
- Address
- 0.15.90.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.90.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,006,320 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 1006320 first appears in π at position 673,149 of the decimal expansion (the 673,149ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.