Live analysis

1,008,640

1,008,640 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.).

1,008,640 (one million eight thousand six hundred forty) is an even 7-digit number. It is a composite number with 44 divisors, and factors as 2¹⁰ × 5 × 197. Its proper divisors sum to 1,423,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6400.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,628 1,008,629 1,008,630 1,008,631 1,008,632 1,008,633 1,008,634 1,008,635 1,008,636 1,008,637 1,008,638 1,008,639 1,008,640 1,008,641 1,008,642 1,008,643 1,008,644 1,008,645 1,008,646 1,008,647 1,008,648 1,008,649 1,008,650 1,008,651 1,008,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 468,001
Recamán's sequence: a(348,171) = 1,008,640
Square (n²): 1,017,354,649,600
Cube (n³): 1,026,144,593,772,544,000
Divisor count: 44
σ(n) — sum of divisors: 2,431,836
φ(n) — Euler's totient: 401,408
Sum of prime factors: 222

Primality

Prime factorization: 2 ¹⁰ × 5 × 197

Nearest primes: 1,008,617 (−23) · 1,008,659 (+19)

Divisors & multiples

All divisors (44)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 197 · 256 · 320 · 394 · 512 · 640 · 788 · 985 · 1024 · 1280 · 1576 · 1970 · 2560 · 3152 · 3940 · 5120 · 6304 · 7880 · 12608 · 15760 · 25216 · 31520 · 50432 · 63040 · 100864 · 126080 · 201728 · 252160 · 504320 (half) · 1008640

Aliquot sum (sum of proper divisors): 1,423,196

Factor pairs (a × b = 1,008,640)

1 × 1008640

2 × 504320

4 × 252160

5 × 201728

8 × 126080

10 × 100864

16 × 63040

20 × 50432

32 × 31520

40 × 25216

64 × 15760

80 × 12608

128 × 7880

160 × 6304

197 × 5120

256 × 3940

320 × 3152

394 × 2560

512 × 1970

640 × 1576

788 × 1280

985 × 1024

First multiples

1,008,640 · 2,017,280 (double) · 3,025,920 · 4,034,560 · 5,043,200 · 6,051,840 · 7,060,480 · 8,069,120 · 9,077,760 · 10,086,400

Sums & aliquot sequence

As a sum of two squares: 384² + 928² = 512² + 864²

As consecutive integers: 201,726 + 201,727 + 201,728 + 201,729 + 201,730 5,022 + 5,023 + … + 5,218 532 + 533 + … + 1,516

Aliquot sequence: 1,008,640 → 1,423,196 → 1,067,404 → 956,576 → 948,544 → 933,850 → 896,390 → 930,970 → 744,794 → 372,400 → 723,140 → 1,030,780 → 1,133,900 → 1,678,420 → 1,846,304 → 1,788,670 → 1,678,850 — unresolved within range

Continued fraction of √n

√1,008,640 = [1004; (3, 4, 1, 1, 2, 1, 2, 1, 1, 501, 1, 1, 2, 1, 2, 1, 1, 4, 3, 2008)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand six hundred forty
Ordinal: 1008640th
Binary: 11110110010000000000
Octal: 3662000
Hexadecimal: 0xF6400
Base64: D2QA
One's complement: 4,293,958,655 (32-bit)
Scientific notation: 1.00864 × 10⁶
As a duration: 1,008,640 s = 11 days, 16 hours, 10 minutes, 40 seconds

In other bases

ternary (3) 1220020121001

quaternary (4) 3312100000

quinary (5) 224234030

senary (6) 33341344

septenary (7) 11400433

nonary (9) 1806531

undecimal (11) 629896

duodecimal (12) 407854

tridecimal (13) 294139

tetradecimal (14) 1c381a

pentadecimal (15) 14dcca

As an angle

1,008,640° = 2,801 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬八千六百四十
Chinese (financial): 壹佰萬捌仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٨٦٤٠ Devanagari १००८६४० Bengali ১০০৮৬৪০ Tamil ௧௦௦௮௬௪௦ Thai ๑๐๐๘๖๔๐ Tibetan ༡༠༠༨༦༤༠ Khmer ១០០៨៦៤០ Lao ໑໐໐໘໖໔໐ Burmese ၁၀၀၈၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008640, here are decompositions:

23 + 1008617 = 1008640
29 + 1008611 = 1008640
53 + 1008587 = 1008640
137 + 1008503 = 1008640
173 + 1008467 = 1008640
233 + 1008407 = 1008640
239 + 1008401 = 1008640
293 + 1008347 = 1008640

Showing the first eight; more decompositions exist.

Hex color

#0F6400

RGB(15, 100, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.100.0.

Address: 0.15.100.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.100.0

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 1,008,640 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 US1,008,640 on Google Patents ↗ Look up on USPTO ↗