Live analysis

1,006,200

1,006,200 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.).

1,006,200 (one million six thousand two hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2³ × 3² × 5² × 13 × 43. Its proper divisors sum to 2,717,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A78.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,188 1,006,189 1,006,190 1,006,191 1,006,192 1,006,193 1,006,194 1,006,195 1,006,196 1,006,197 1,006,198 1,006,199 1,006,200 1,006,201 1,006,202 1,006,203 1,006,204 1,006,205 1,006,206 1,006,207 1,006,208 1,006,209 1,006,210 1,006,211 1,006,212

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 26,001
Square (n²): 1,012,438,440,000
Cube (n³): 1,018,715,558,328,000,000
Divisor count: 144
σ(n) — sum of divisors: 3,723,720
φ(n) — Euler's totient: 241,920
Sum of prime factors: 78

Primality

Prime factorization: 2 ³ × 3 ² × 5 ² × 13 × 43

Nearest primes: 1,006,193 (−7) · 1,006,217 (+17)

Divisors & multiples

All divisors (144)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 24 · 25 · 26 · 30 · 36 · 39 · 40 · 43 · 45 · 50 · 52 · 60 · 65 · 72 · 75 · 78 · 86 · 90 · 100 · 104 · 117 · 120 · 129 · 130 · 150 · 156 · 172 · 180 · 195 · 200 · 215 · 225 · 234 · 258 · 260 · 300 · 312 · 325 · 344 · 360 · 387 · 390 · 430 · 450 · 468 · 516 · 520 · 559 · 585 · 600 · 645 · 650 · 774 · 780 · 860 · 900 · 936 · 975 · 1032 · 1075 · 1118 · 1170 · 1290 · 1300 · 1548 · 1560 · 1677 · 1720 · 1800 · 1935 · 1950 · 2150 · 2236 · 2340 · 2580 · 2600 · 2795 · 2925 · 3096 · 3225 · 3354 · 3870 · 3900 · 4300 · 4472 · 4680 · 5031 · 5160 · 5590 · 5850 · 6450 · 6708 · 7740 · 7800 · 8385 · 8600 · 9675 · 10062 · 11180 · 11700 · 12900 · 13416 · 13975 · 15480 · 16770 · 19350 · 20124 · 22360 · 23400 · 25155 · 25800 · 27950 · 33540 · 38700 · 40248 · 41925 · 50310 · 55900 · 67080 · 77400 · 83850 · 100620 · 111800 · 125775 · 167700 · 201240 · 251550 · 335400 · 503100 (half) · 1006200

Aliquot sum (sum of proper divisors): 2,717,520

Factor pairs (a × b = 1,006,200)

1 × 1006200

2 × 503100

3 × 335400

4 × 251550

5 × 201240

6 × 167700

8 × 125775

9 × 111800

10 × 100620

12 × 83850

13 × 77400

15 × 67080

18 × 55900

20 × 50310

24 × 41925

25 × 40248

26 × 38700

30 × 33540

36 × 27950

39 × 25800

40 × 25155

43 × 23400

45 × 22360

50 × 20124

52 × 19350

60 × 16770

65 × 15480

72 × 13975

75 × 13416

78 × 12900

86 × 11700

90 × 11180

100 × 10062

104 × 9675

117 × 8600

120 × 8385

129 × 7800

130 × 7740

150 × 6708

156 × 6450

172 × 5850

180 × 5590

195 × 5160

200 × 5031

215 × 4680

225 × 4472

234 × 4300

258 × 3900

260 × 3870

300 × 3354

312 × 3225

325 × 3096

344 × 2925

360 × 2795

387 × 2600

390 × 2580

430 × 2340

450 × 2236

468 × 2150

516 × 1950

520 × 1935

559 × 1800

585 × 1720

600 × 1677

645 × 1560

650 × 1548

774 × 1300

780 × 1290

860 × 1170

900 × 1118

936 × 1075

975 × 1032

First multiples

1,006,200 · 2,012,400 (double) · 3,018,600 · 4,024,800 · 5,031,000 · 6,037,200 · 7,043,400 · 8,049,600 · 9,055,800 · 10,062,000

Sums & aliquot sequence

As a sum of two cubes: 56³ + 94³

As consecutive integers: 335,399 + 335,400 + 335,401 201,238 + 201,239 + 201,240 + 201,241 + 201,242 111,796 + 111,797 + … + 111,804 77,394 + 77,395 + … + 77,406

Aliquot sequence: 1,006,200 → 2,717,520 → 6,540,816 → 10,754,704 → 10,082,566 → 6,204,698 → 3,125,722 → 1,880,078 → 949,090 → 777,182 → 587,170 → 485,918 → 248,242 → 124,124 → 176,932 → 185,948 → 200,452 — unresolved within range

Continued fraction of √n

√1,006,200 = [1003; (10, 1, 1, 79, 1, 2, 1, 1, 1, 1, 1, 2, 1, 79, 1, 1, 10, 2006)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million six thousand two hundred
Ordinal: 1006200th
Binary: 11110101101001111000
Octal: 3655170
Hexadecimal: 0xF5A78
Base64: D1p4
One's complement: 4,293,961,095 (32-bit)
Scientific notation: 1.0062 × 10⁶
As a duration: 1,006,200 s = 11 days, 15 hours, 30 minutes

In other bases

ternary (3) 1220010020200

quaternary (4) 3311221320

quinary (5) 224144300

senary (6) 33322200

septenary (7) 11360346

nonary (9) 1803220

undecimal (11) 627a78

duodecimal (12) 406360

tridecimal (13) 292cb0

tetradecimal (14) 1c2996

pentadecimal (15) 14d200

As an angle

1,006,200° = 2,795 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Chinese: 一百萬六千二百
Chinese (financial): 壹佰萬陸仟貳佰

In other modern scripts

Eastern Arabic ١٠٠٦٢٠٠ Devanagari १००६२०० Bengali ১০০৬২০০ Tamil ௧௦௦௬௨௦௦ Thai ๑๐๐๖๒๐๐ Tibetan ༡༠༠༦༢༠༠ Khmer ១០០៦២០០ Lao ໑໐໐໖໒໐໐ Burmese ၁၀၀၆၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006200, here are decompositions:

7 + 1006193 = 1006200
11 + 1006189 = 1006200
23 + 1006177 = 1006200
29 + 1006171 = 1006200
31 + 1006169 = 1006200
37 + 1006163 = 1006200
47 + 1006153 = 1006200
53 + 1006147 = 1006200

Showing the first eight; more decompositions exist.

Hex color

#0F5A78

RGB(15, 90, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.120.

Address: 0.15.90.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.120

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 1,006,200 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 US1,006,200 on Google Patents ↗ Look up on USPTO ↗