Live analysis

1,009,440

1,009,440 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.).

1,009,440 (one million nine thousand four hundred forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 701. Its proper divisors sum to 2,440,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6720.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,009,428 1,009,429 1,009,430 1,009,431 1,009,432 1,009,433 1,009,434 1,009,435 1,009,436 1,009,437 1,009,438 1,009,439 1,009,440 1,009,441 1,009,442 1,009,443 1,009,444 1,009,445 1,009,446 1,009,447 1,009,448 1,009,449 1,009,450 1,009,451 1,009,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 449,001
Recamán's sequence: a(346,571) = 1,009,440
Square (n²): 1,018,969,113,600
Cube (n³): 1,028,588,182,032,384,000
Divisor count: 72
σ(n) — sum of divisors: 3,449,628
φ(n) — Euler's totient: 268,800
Sum of prime factors: 722

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 × 701

Nearest primes: 1,009,439 (−1) · 1,009,457 (+17)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 240 · 288 · 360 · 480 · 701 · 720 · 1402 · 1440 · 2103 · 2804 · 3505 · 4206 · 5608 · 6309 · 7010 · 8412 · 10515 · 11216 · 12618 · 14020 · 16824 · 21030 · 22432 · 25236 · 28040 · 31545 · 33648 · 42060 · 50472 · 56080 · 63090 · 67296 · 84120 · 100944 · 112160 · 126180 · 168240 · 201888 · 252360 · 336480 · 504720 (half) · 1009440

Aliquot sum (sum of proper divisors): 2,440,188

Factor pairs (a × b = 1,009,440)

1 × 1009440

2 × 504720

3 × 336480

4 × 252360

5 × 201888

6 × 168240

8 × 126180

9 × 112160

10 × 100944

12 × 84120

15 × 67296

16 × 63090

18 × 56080

20 × 50472

24 × 42060

30 × 33648

32 × 31545

36 × 28040

40 × 25236

45 × 22432

48 × 21030

60 × 16824

72 × 14020

80 × 12618

90 × 11216

96 × 10515

120 × 8412

144 × 7010

160 × 6309

180 × 5608

240 × 4206

288 × 3505

360 × 2804

480 × 2103

701 × 1440

720 × 1402

First multiples

1,009,440 · 2,018,880 (double) · 3,028,320 · 4,037,760 · 5,047,200 · 6,056,640 · 7,066,080 · 8,075,520 · 9,084,960 · 10,094,400

Sums & aliquot sequence

As a sum of two squares: 132² + 996² = 492² + 876²

As consecutive integers: 336,479 + 336,480 + 336,481 201,886 + 201,887 + 201,888 + 201,889 + 201,890 112,156 + 112,157 + … + 112,164 67,289 + 67,290 + … + 67,303

Aliquot sequence: 1,009,440 → 2,440,188 → 3,728,156 → 2,796,124 → 2,284,196 → 1,713,154 → 991,886 → 708,514 → 354,260 → 389,728 → 419,192 → 380,608 → 416,952 → 712,488 → 1,323,672 → 2,458,728 → 4,371,672 — unresolved within range

Continued fraction of √n

√1,009,440 = [1004; (1, 2, 2, 3, 2, 1, 2, 2, 1, 2, 1, 1, 1, 3, 1, 1, 13, 2, 1, 1, 5, 1, 6, 2, …)]

Representations

In words: one million nine thousand four hundred forty
Ordinal: 1009440th
Binary: 11110110011100100000
Octal: 3663440
Hexadecimal: 0xF6720
Base64: D2cg
One's complement: 4,293,957,855 (32-bit)
Scientific notation: 1.00944 × 10⁶
As a duration: 1,009,440 s = 11 days, 16 hours, 24 minutes

In other bases

ternary (3) 1220021200200

quaternary (4) 3312130200

quinary (5) 224300230

senary (6) 33345200

septenary (7) 11402655

nonary (9) 1807620

undecimal (11) 62a453

duodecimal (12) 408200

tridecimal (13) 294603

tetradecimal (14) 1c3c2c

pentadecimal (15) 14e160

As an angle

1,009,440° = 2,804 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬九千四百四十
Chinese (financial): 壹佰萬玖仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٩٤٤٠ Devanagari १००९४४० Bengali ১০০৯৪৪০ Tamil ௧௦௦௯௪௪௦ Thai ๑๐๐๙๔๔๐ Tibetan ༡༠༠༩༤༤༠ Khmer ១០០៩៤៤០ Lao ໑໐໐໙໔໔໐ Burmese ၁၀၀၉၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009440, here are decompositions:

7 + 1009433 = 1009440
23 + 1009417 = 1009440
41 + 1009399 = 1009440
53 + 1009387 = 1009440
67 + 1009373 = 1009440
71 + 1009369 = 1009440
79 + 1009361 = 1009440
83 + 1009357 = 1009440

Showing the first eight; more decompositions exist.

Hex color

#0F6720

RGB(15, 103, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.103.32.

Address: 0.15.103.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.103.32

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 1,009,440 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 US1,009,440 on Google Patents ↗ Look up on USPTO ↗