1,006,460
1,006,460 is a composite number, even.
1,006,460 (one million six thousand four hundred sixty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 5 × 7² × 13 × 79. Its proper divisors sum to 1,674,820, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B7C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 17
- Digit product
- 0
- Digital root
- 8
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 646,001
- Square (n²)
- 1,012,961,731,600
- Cube (n³)
- 1,019,505,464,386,136,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 2,681,280
- φ(n) — Euler's totient
- 314,496
- Sum of prime factors
- 115
Primality
Prime factorization: 2 2 × 5 × 7 2 × 13 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,006,460 = [1003; (4, 2, 4, 2, 1, 9, 1, 1, 4, 1, 4, 3, 5, 40, 1, 3, 6, 4, 1, 500, 1, 4, 6, 3, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one million six thousand four hundred sixty
- Ordinal
- 1006460th
- Binary
- 11110101101101111100
- Octal
- 3655574
- Hexadecimal
- 0xF5B7C
- Base64
- D1t8
- One's complement
- 4,293,960,835 (32-bit)
- Scientific notation
- 1.00646 × 10⁶
- As a duration
- 1,006,460 s = 11 days, 15 hours, 34 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Chinese
- 一百萬六千四百六十
- Chinese (financial)
- 壹佰萬陸仟肆佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006460, here are decompositions:
- 19 + 1006441 = 1006460
- 67 + 1006393 = 1006460
- 109 + 1006351 = 1006460
- 127 + 1006333 = 1006460
- 151 + 1006309 = 1006460
- 157 + 1006303 = 1006460
- 181 + 1006279 = 1006460
- 193 + 1006267 = 1006460
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.124.
- Address
- 0.15.91.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.91.124
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 1,006,460 and was likely granted around 1911.
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°.