Live analysis

1,002,240

1,002,240 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.).

1,002,240 (one million two thousand two hundred forty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁸ × 3³ × 5 × 29. Its proper divisors sum to 2,676,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B00.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,228 1,002,229 1,002,230 1,002,231 1,002,232 1,002,233 1,002,234 1,002,235 1,002,236 1,002,237 1,002,238 1,002,239 1,002,240 1,002,241 1,002,242 1,002,243 1,002,244 1,002,245 1,002,246 1,002,247 1,002,248 1,002,249 1,002,250 1,002,251 1,002,252

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 422,001
Square (n²): 1,004,485,017,600
Cube (n³): 1,006,735,064,039,424,000
Divisor count: 144
σ(n) — sum of divisors: 3,679,200
φ(n) — Euler's totient: 258,048
Sum of prime factors: 59

Primality

Prime factorization: 2 ⁸ × 3 ³ × 5 × 29

Nearest primes: 1,002,227 (−13) · 1,002,241 (+1)

Divisors & multiples

All divisors (144)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 29 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 58 · 60 · 64 · 72 · 80 · 87 · 90 · 96 · 108 · 116 · 120 · 128 · 135 · 144 · 145 · 160 · 174 · 180 · 192 · 216 · 232 · 240 · 256 · 261 · 270 · 288 · 290 · 320 · 348 · 360 · 384 · 432 · 435 · 464 · 480 · 522 · 540 · 576 · 580 · 640 · 696 · 720 · 768 · 783 · 864 · 870 · 928 · 960 · 1044 · 1080 · 1152 · 1160 · 1280 · 1305 · 1392 · 1440 · 1566 · 1728 · 1740 · 1856 · 1920 · 2088 · 2160 · 2304 · 2320 · 2610 · 2784 · 2880 · 3132 · 3456 · 3480 · 3712 · 3840 · 3915 · 4176 · 4320 · 4640 · 5220 · 5568 · 5760 · 6264 · 6912 · 6960 · 7424 · 7830 · 8352 · 8640 · 9280 · 10440 · 11136 · 11520 · 12528 · 13920 · 15660 · 16704 · 17280 · 18560 · 20880 · 22272 · 25056 · 27840 · 31320 · 33408 · 34560 · 37120 · 41760 · 50112 · 55680 · 62640 · 66816 · 83520 · 100224 · 111360 · 125280 · 167040 · 200448 · 250560 · 334080 · 501120 (half) · 1002240

Aliquot sum (sum of proper divisors): 2,676,960

Factor pairs (a × b = 1,002,240)

1 × 1002240

2 × 501120

3 × 334080

4 × 250560

5 × 200448

6 × 167040

8 × 125280

9 × 111360

10 × 100224

12 × 83520

15 × 66816

16 × 62640

18 × 55680

20 × 50112

24 × 41760

27 × 37120

29 × 34560

30 × 33408

32 × 31320

36 × 27840

40 × 25056

45 × 22272

48 × 20880

54 × 18560

58 × 17280

60 × 16704

64 × 15660

72 × 13920

80 × 12528

87 × 11520

90 × 11136

96 × 10440

108 × 9280

116 × 8640

120 × 8352

128 × 7830

135 × 7424

144 × 6960

145 × 6912

160 × 6264

174 × 5760

180 × 5568

192 × 5220

216 × 4640

232 × 4320

240 × 4176

256 × 3915

261 × 3840

270 × 3712

288 × 3480

290 × 3456

320 × 3132

348 × 2880

360 × 2784

384 × 2610

432 × 2320

435 × 2304

464 × 2160

480 × 2088

522 × 1920

540 × 1856

576 × 1740

580 × 1728

640 × 1566

696 × 1440

720 × 1392

768 × 1305

783 × 1280

864 × 1160

870 × 1152

928 × 1080

960 × 1044

First multiples

1,002,240 · 2,004,480 (double) · 3,006,720 · 4,008,960 · 5,011,200 · 6,013,440 · 7,015,680 · 8,017,920 · 9,020,160 · 10,022,400

Sums & aliquot sequence

As consecutive integers: 334,079 + 334,080 + 334,081 200,446 + 200,447 + 200,448 + 200,449 + 200,450 111,356 + 111,357 + … + 111,364 66,809 + 66,810 + … + 66,823

Aliquot sequence: 1,002,240 → 2,676,960 → 8,114,184 → 15,554,916 → 28,392,988 → 25,116,972 → 33,489,324 → 63,742,356 → 101,515,884 → 135,354,540 → 269,490,516 → 359,320,716 → 549,688,476 → 764,202,228 → 1,020,229,260 → 1,842,313,332 → 2,547,881,484 — unresolved within range

Continued fraction of √n

√1,002,240 = [1001; (8, 2, 1, 1, 1, 6, 1, 13, 28, 7, 1, 3, 1, 1, 1, 54, 1, 39, 1, 7, 3, 124, 1, 4, …)]

Representations

In words: one million two thousand two hundred forty
Ordinal: 1002240th
Binary: 11110100101100000000
Octal: 3645400
Hexadecimal: 0xF4B00
Base64: D0sA
One's complement: 4,293,965,055 (32-bit)
Scientific notation: 1.00224 × 10⁶
As a duration: 1,002,240 s = 11 days, 14 hours, 24 minutes

In other bases

ternary (3) 1212220211000

quaternary (4) 3310230000

quinary (5) 224032430

senary (6) 33252000

septenary (7) 11342661

nonary (9) 1786730

undecimal (11) 624aa8

duodecimal (12) 404000

tridecimal (13) 291255

tetradecimal (14) 1c1368

pentadecimal (15) 14be60

As an angle

1,002,240° = 2,784 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬二千二百四十
Chinese (financial): 壹佰萬貳仟貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٢٢٤٠ Devanagari १००२२४० Bengali ১০০২২৪০ Tamil ௧௦௦௨௨௪௦ Thai ๑๐๐๒๒๔๐ Tibetan ༡༠༠༢༢༤༠ Khmer ១០០២២៤០ Lao ໑໐໐໒໒໔໐ Burmese ၁၀၀၂၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002240, here are decompositions:

13 + 1002227 = 1002240
67 + 1002173 = 1002240
89 + 1002151 = 1002240
97 + 1002143 = 1002240
131 + 1002109 = 1002240
139 + 1002101 = 1002240
149 + 1002091 = 1002240
157 + 1002083 = 1002240

Showing the first eight; more decompositions exist.

Hex color

#0F4B00

RGB(15, 75, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.0.

Address: 0.15.75.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.0

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 1,002,240 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 US1,002,240 on Google Patents ↗ Look up on USPTO ↗