Live analysis

1,001,680

1,001,680 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,001,680 (one million one thousand six hundred eighty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 19 × 659. Its proper divisors sum to 1,453,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48D0.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,001,668 1,001,669 1,001,670 1,001,671 1,001,672 1,001,673 1,001,674 1,001,675 1,001,676 1,001,677 1,001,678 1,001,679 1,001,680 1,001,681 1,001,682 1,001,683 1,001,684 1,001,685 1,001,686 1,001,687 1,001,688 1,001,689 1,001,690 1,001,691 1,001,692

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 861,001
Flips to (rotate 180°): 891,001
Square (n²): 1,003,362,822,400
Cube (n³): 1,005,048,471,941,632,000
Divisor count: 40
σ(n) — sum of divisors: 2,455,200
φ(n) — Euler's totient: 379,008
Sum of prime factors: 691

Primality

Prime factorization: 2 ⁴ × 5 × 19 × 659

Nearest primes: 1,001,669 (−11) · 1,001,683 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 19 · 20 · 38 · 40 · 76 · 80 · 95 · 152 · 190 · 304 · 380 · 659 · 760 · 1318 · 1520 · 2636 · 3295 · 5272 · 6590 · 10544 · 12521 · 13180 · 25042 · 26360 · 50084 · 52720 · 62605 · 100168 · 125210 · 200336 · 250420 · 500840 (half) · 1001680

Aliquot sum (sum of proper divisors): 1,453,520

Factor pairs (a × b = 1,001,680)

1 × 1001680

2 × 500840

4 × 250420

5 × 200336

8 × 125210

10 × 100168

16 × 62605

19 × 52720

20 × 50084

38 × 26360

40 × 25042

76 × 13180

80 × 12521

95 × 10544

152 × 6590

190 × 5272

304 × 3295

380 × 2636

659 × 1520

760 × 1318

First multiples

1,001,680 · 2,003,360 (double) · 3,005,040 · 4,006,720 · 5,008,400 · 6,010,080 · 7,011,760 · 8,013,440 · 9,015,120 · 10,016,800

Sums & aliquot sequence

As consecutive integers: 200,334 + 200,335 + 200,336 + 200,337 + 200,338 52,711 + 52,712 + … + 52,729 31,287 + 31,288 + … + 31,318 10,497 + 10,498 + … + 10,591

Aliquot sequence: 1,001,680 → 1,453,520 → 1,926,100 → 2,948,588 → 2,211,448 → 2,153,552 → 2,018,986 → 1,141,238 → 815,194 → 436,166 → 218,086 → 155,162 → 110,854 → 59,426 → 31,918 → 15,962 → 9,094 — unresolved within range

Continued fraction of √n

√1,001,680 = [1000; (1, 5, 4, 4, 3, 2, 1, 8, 1, 7, 3, 3, 1, 5, 3, 5, 1, 15, 1, 2, 2, 1, 7, 1, …)]

Representations

In words: one million one thousand six hundred eighty
Ordinal: 1001680th
Binary: 11110100100011010000
Octal: 3644320
Hexadecimal: 0xF48D0
Base64: D0jQ
One's complement: 4,293,965,615 (32-bit)
Scientific notation: 1.00168 × 10⁶
As a duration: 1,001,680 s = 11 days, 14 hours, 14 minutes, 40 seconds

In other bases

ternary (3) 1212220001021

quaternary (4) 3310203100

quinary (5) 224023210

senary (6) 33245224

septenary (7) 11341231

nonary (9) 1786037

undecimal (11) 624639

duodecimal (12) 403814

tridecimal (13) 290c14

tetradecimal (14) 1c1088

pentadecimal (15) 14bbda

As an angle

1,001,680° = 2,782 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千六百八十
Chinese (financial): 壹佰萬壹仟陸佰捌拾

In other modern scripts

Eastern Arabic ١٠٠١٦٨٠ Devanagari १००१६८० Bengali ১০০১৬৮০ Tamil ௧௦௦௧௬௮௦ Thai ๑๐๐๑๖๘๐ Tibetan ༡༠༠༡༦༨༠ Khmer ១០០១៦៨០ Lao ໑໐໐໑໖໘໐ Burmese ၁၀၀၁၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001680, here are decompositions:

11 + 1001669 = 1001680
41 + 1001639 = 1001680
59 + 1001621 = 1001680
131 + 1001549 = 1001680
149 + 1001531 = 1001680
179 + 1001501 = 1001680
233 + 1001447 = 1001680
269 + 1001411 = 1001680

Showing the first eight; more decompositions exist.

Hex color

#0F48D0

RGB(15, 72, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.208.

Address: 0.15.72.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,001,680 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,001,680 on Google Patents ↗ Look up on USPTO ↗