1,001,728
1,001,728 is a composite number, even.
1,001,728 (one million one thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 7 × 13 × 43. Its proper divisors sum to 1,516,480, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4900.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 19
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 8,271,001
- Square (n²)
- 1,003,458,985,984
- Cube (n³)
- 1,005,192,963,111,780,352
- Divisor count
- 72
- σ(n) — sum of divisors
- 2,518,208
- φ(n) — Euler's totient
- 387,072
- Sum of prime factors
- 79
Primality
Prime factorization: 2 8 × 7 × 13 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,001,728 = [1000; (1, 6, 3, 222, 10, 2, 2, 1, 2, 24, 2, 1, 9, 1, 3, 13, 1, 1, 1, 4, 2, 3, 3, 124, …)]
Representations
- In words
- one million one thousand seven hundred twenty-eight
- Ordinal
- 1001728th
- Binary
- 11110100100100000000
- Octal
- 3644400
- Hexadecimal
- 0xF4900
- Base64
- D0kA
- One's complement
- 4,293,965,567 (32-bit)
- Scientific notation
- 1.001728 × 10⁶
- As a duration
- 1,001,728 s = 11 days, 14 hours, 15 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Chinese
- 一百萬一千七百二十八
- Chinese (financial)
- 壹佰萬壹仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001728, here are decompositions:
- 5 + 1001723 = 1001728
- 41 + 1001687 = 1001728
- 59 + 1001669 = 1001728
- 89 + 1001639 = 1001728
- 107 + 1001621 = 1001728
- 179 + 1001549 = 1001728
- 197 + 1001531 = 1001728
- 227 + 1001501 = 1001728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.0.
- Address
- 0.15.73.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.73.0
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 1,001,728 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°.