1,003,680
1,003,680 is a composite number, even.
1,003,680 (one million three thousand six hundred eighty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 17 × 41. Its proper divisors sum to 2,711,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF50A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 863,001
- Square (n²)
- 1,007,373,542,400
- Cube (n³)
- 1,011,080,677,036,032,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,714,984
- φ(n) — Euler's totient
- 245,760
- Sum of prime factors
- 79
Primality
Prime factorization: 2 5 × 3 2 × 5 × 17 × 41
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,003,680 = [1001; (1, 5, 5, 2, 2, 2, 2, 1, 13, 4, 1, 4, 1, 2, 1, 23, 1, 499, 1, 23, 1, 2, 1, 4, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one million three thousand six hundred eighty
- Ordinal
- 1003680th
- Binary
- 11110101000010100000
- Octal
- 3650240
- Hexadecimal
- 0xF50A0
- Base64
- D1Cg
- One's complement
- 4,293,963,615 (32-bit)
- Scientific notation
- 1.00368 × 10⁶
- As a duration
- 1,003,680 s = 11 days, 14 hours, 48 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Chinese
- 一百萬三千六百八十
- Chinese (financial)
- 壹佰萬參仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003680, here are decompositions:
- 53 + 1003627 = 1003680
- 59 + 1003621 = 1003680
- 61 + 1003619 = 1003680
- 71 + 1003609 = 1003680
- 79 + 1003601 = 1003680
- 131 + 1003549 = 1003680
- 137 + 1003543 = 1003680
- 163 + 1003517 = 1003680
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.80.160.
- Address
- 0.15.80.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.80.160
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 1,003,680 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°.