1,036,728
1,036,728 is a composite number, even.
1,036,728 (one million thirty-six thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2³ × 3² × 7 × 11² × 17. Its proper divisors sum to 2,697,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFD1B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 8,276,301
- Square (n²)
- 1,074,804,945,984
- Cube (n³)
- 1,114,280,382,040,100,352
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,734,640
- φ(n) — Euler's totient
- 253,440
- Sum of prime factors
- 58
Primality
Prime factorization: 2 3 × 3 2 × 7 × 11 2 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,036,728 = [1018; (5, 24, 1, 15, 1, 6, 1, 1, 1, 11, 2, 1, 1, 16, 4, 3, 2, 3, 2, 2, 2, 16, 2, 2, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- one million thirty-six thousand seven hundred twenty-eight
- Ordinal
- 1036728th
- Binary
- 11111101000110111000
- Octal
- 3750670
- Hexadecimal
- 0xFD1B8
- Base64
- D9G4
- One's complement
- 4,293,930,567 (32-bit)
- Scientific notation
- 1.036728 × 10⁶
- As a duration
- 1,036,728 s = 11 days, 23 hours, 58 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Chinese
- 一百零三萬六千七百二十八
- Chinese (financial)
- 壹佰零參萬陸仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1036728, here are decompositions:
- 47 + 1036681 = 1036728
- 59 + 1036669 = 1036728
- 61 + 1036667 = 1036728
- 67 + 1036661 = 1036728
- 79 + 1036649 = 1036728
- 97 + 1036631 = 1036728
- 109 + 1036619 = 1036728
- 149 + 1036579 = 1036728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.209.184.
- Address
- 0.15.209.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.209.184
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Tuesday, January 3, 6728 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 6728-03-01 (DMMYYYY (Euro, single-digit day))
- 6728-10-03 (MMDYYYY (US, single-digit day))
- 6728-03-10 (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 1,036,728 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°.