Live analysis

1,009,680

1,009,680 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.).

1,009,680 (one million nine thousand six hundred eighty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 601. Its proper divisors sum to 2,573,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6810.

Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,009,668 1,009,669 1,009,670 1,009,671 1,009,672 1,009,673 1,009,674 1,009,675 1,009,676 1,009,677 1,009,678 1,009,679 1,009,680 1,009,681 1,009,682 1,009,683 1,009,684 1,009,685 1,009,686 1,009,687 1,009,688 1,009,689 1,009,690 1,009,691 1,009,692

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 869,001
Flips to (rotate 180°): 896,001
Recamán's sequence: a(346,091) = 1,009,680
Square (n²): 1,019,453,702,400
Cube (n³): 1,029,322,014,239,232,000
Divisor count: 80
σ(n) — sum of divisors: 3,583,104
φ(n) — Euler's totient: 230,400
Sum of prime factors: 624

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 7 × 601

Nearest primes: 1,009,669 (−11) · 1,009,727 (+47)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 105 · 112 · 120 · 140 · 168 · 210 · 240 · 280 · 336 · 420 · 560 · 601 · 840 · 1202 · 1680 · 1803 · 2404 · 3005 · 3606 · 4207 · 4808 · 6010 · 7212 · 8414 · 9015 · 9616 · 12020 · 12621 · 14424 · 16828 · 18030 · 21035 · 24040 · 25242 · 28848 · 33656 · 36060 · 42070 · 48080 · 50484 · 63105 · 67312 · 72120 · 84140 · 100968 · 126210 · 144240 · 168280 · 201936 · 252420 · 336560 · 504840 (half) · 1009680

Aliquot sum (sum of proper divisors): 2,573,424

Factor pairs (a × b = 1,009,680)

1 × 1009680

2 × 504840

3 × 336560

4 × 252420

5 × 201936

6 × 168280

7 × 144240

8 × 126210

10 × 100968

12 × 84140

14 × 72120

15 × 67312

16 × 63105

20 × 50484

21 × 48080

24 × 42070

28 × 36060

30 × 33656

35 × 28848

40 × 25242

42 × 24040

48 × 21035

56 × 18030

60 × 16828

70 × 14424

80 × 12621

84 × 12020

105 × 9616

112 × 9015

120 × 8414

140 × 7212

168 × 6010

210 × 4808

240 × 4207

280 × 3606

336 × 3005

420 × 2404

560 × 1803

601 × 1680

840 × 1202

First multiples

1,009,680 · 2,019,360 (double) · 3,029,040 · 4,038,720 · 5,048,400 · 6,058,080 · 7,067,760 · 8,077,440 · 9,087,120 · 10,096,800

Sums & aliquot sequence

As consecutive integers: 336,559 + 336,560 + 336,561 201,934 + 201,935 + 201,936 + 201,937 + 201,938 144,237 + 144,238 + … + 144,243 67,305 + 67,306 + … + 67,319

Aliquot sequence: 1,009,680 → 2,573,424 → 6,473,616 → 10,250,016 → 21,063,504 → 48,932,016 → 96,725,328 → 188,845,680 → 431,828,880 → 1,104,287,088 → 1,916,265,120 → 5,683,893,600 → 17,383,130,016 — keeps growing

Continued fraction of √n

√1,009,680 = [1004; (1, 4, 1, 4, 1, 2, 1, 3, 16, 1, 1, 1, 1, 1, 2, 1, 3, 2, 8, 3, 1, 6, 5, 11, …)]

Representations

In words: one million nine thousand six hundred eighty
Ordinal: 1009680th
Binary: 11110110100000010000
Octal: 3664020
Hexadecimal: 0xF6810
Base64: D2gQ
One's complement: 4,293,957,615 (32-bit)
Scientific notation: 1.00968 × 10⁶
As a duration: 1,009,680 s = 11 days, 16 hours, 28 minutes

In other bases

ternary (3) 1220022000120

quaternary (4) 3312200100

quinary (5) 224302210

senary (6) 33350240

septenary (7) 11403450

nonary (9) 1808016

undecimal (11) 62a651

duodecimal (12) 408380

tridecimal (13) 294759

tetradecimal (14) 1c3d60

pentadecimal (15) 14e270

As an angle

1,009,680° = 2,804 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬九千六百八十
Chinese (financial): 壹佰萬玖仟陸佰捌拾

In other modern scripts

Eastern Arabic ١٠٠٩٦٨٠ Devanagari १००९६८० Bengali ১০০৯৬৮০ Tamil ௧௦௦௯௬௮௦ Thai ๑๐๐๙๖๘๐ Tibetan ༡༠༠༩༦༨༠ Khmer ១០០៩៦៨០ Lao ໑໐໐໙໖໘໐ Burmese ၁၀၀၉၆၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009680, here are decompositions:

11 + 1009669 = 1009680
29 + 1009651 = 1009680
31 + 1009649 = 1009680
37 + 1009643 = 1009680
43 + 1009637 = 1009680
53 + 1009627 = 1009680
59 + 1009621 = 1009680
71 + 1009609 = 1009680

Showing the first eight; more decompositions exist.

Hex color

#0F6810

RGB(15, 104, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.104.16.

Address: 0.15.104.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.104.16

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 1,009,680 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 US1,009,680 on Google Patents ↗ Look up on USPTO ↗