Live analysis

1,006,400

1,006,400 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.).

1,006,400 (one million six thousand four hundred) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 5² × 17 × 37. Its proper divisors sum to 1,686,508, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B40.

Abundant Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,388 1,006,389 1,006,390 1,006,391 1,006,392 1,006,393 1,006,394 1,006,395 1,006,396 1,006,397 1,006,398 1,006,399 1,006,400 1,006,401 1,006,402 1,006,403 1,006,404 1,006,405 1,006,406 1,006,407 1,006,408 1,006,409 1,006,410 1,006,411 1,006,412

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 46,001
Square (n²): 1,012,840,960,000
Cube (n³): 1,019,323,142,144,000,000
Divisor count: 84
σ(n) — sum of divisors: 2,692,908
φ(n) — Euler's totient: 368,640
Sum of prime factors: 76

Primality

Prime factorization: 2 ⁶ × 5 ² × 17 × 37

Nearest primes: 1,006,393 (−7) · 1,006,433 (+33)

Divisors & multiples

All divisors (84)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 32 · 34 · 37 · 40 · 50 · 64 · 68 · 74 · 80 · 85 · 100 · 136 · 148 · 160 · 170 · 185 · 200 · 272 · 296 · 320 · 340 · 370 · 400 · 425 · 544 · 592 · 629 · 680 · 740 · 800 · 850 · 925 · 1088 · 1184 · 1258 · 1360 · 1480 · 1600 · 1700 · 1850 · 2368 · 2516 · 2720 · 2960 · 3145 · 3400 · 3700 · 5032 · 5440 · 5920 · 6290 · 6800 · 7400 · 10064 · 11840 · 12580 · 13600 · 14800 · 15725 · 20128 · 25160 · 27200 · 29600 · 31450 · 40256 · 50320 · 59200 · 62900 · 100640 · 125800 · 201280 · 251600 · 503200 (half) · 1006400

Aliquot sum (sum of proper divisors): 1,686,508

Factor pairs (a × b = 1,006,400)

1 × 1006400

2 × 503200

4 × 251600

5 × 201280

8 × 125800

10 × 100640

16 × 62900

17 × 59200

20 × 50320

25 × 40256

32 × 31450

34 × 29600

37 × 27200

40 × 25160

50 × 20128

64 × 15725

68 × 14800

74 × 13600

80 × 12580

85 × 11840

100 × 10064

136 × 7400

148 × 6800

160 × 6290

170 × 5920

185 × 5440

200 × 5032

272 × 3700

296 × 3400

320 × 3145

340 × 2960

370 × 2720

400 × 2516

425 × 2368

544 × 1850

592 × 1700

629 × 1600

680 × 1480

740 × 1360

800 × 1258

850 × 1184

925 × 1088

First multiples

1,006,400 · 2,012,800 (double) · 3,019,200 · 4,025,600 · 5,032,000 · 6,038,400 · 7,044,800 · 8,051,200 · 9,057,600 · 10,064,000

Sums & aliquot sequence

As a sum of two squares: 80² + 1,000² = 232² + 976² = 400² + 920² = 496² + 872²

As consecutive integers: 201,278 + 201,279 + 201,280 + 201,281 + 201,282 59,192 + 59,193 + … + 59,208 40,244 + 40,245 + … + 40,268 27,182 + 27,183 + … + 27,218

Aliquot sequence: 1,006,400 → 1,686,508 → 1,277,012 → 1,161,004 → 1,061,636 → 836,092 → 661,404 → 881,900 → 1,032,040 → 1,290,140 → 1,440,532 → 1,098,368 → 1,090,042 → 565,958 → 297,082 → 153,818 → 109,894 — unresolved within range

Continued fraction of √n

√1,006,400 = [1003; (5, 7, 1, 1, 1, 3, 7, 7, 1, 2, 3, 501, 3, 2, 1, 7, 7, 3, 1, 1, 1, 7, 5, 2006)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million six thousand four hundred
Ordinal: 1006400th
Binary: 11110101101101000000
Octal: 3655500
Hexadecimal: 0xF5B40
Base64: D1tA
One's complement: 4,293,960,895 (32-bit)
Scientific notation: 1.0064 × 10⁶
As a duration: 1,006,400 s = 11 days, 15 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 1220010112002

quaternary (4) 3311231000

quinary (5) 224201100

senary (6) 33323132

septenary (7) 11361053

nonary (9) 1803462

undecimal (11) 62813a

duodecimal (12) 4064a8

tridecimal (13) 293105

tetradecimal (14) 1c2a9a

pentadecimal (15) 14d2d5

As an angle

1,006,400° = 2,795 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Chinese: 一百萬六千四百
Chinese (financial): 壹佰萬陸仟肆佰

In other modern scripts

Eastern Arabic ١٠٠٦٤٠٠ Devanagari १००६४०० Bengali ১০০৬৪০০ Tamil ௧௦௦௬௪௦௦ Thai ๑๐๐๖๔๐๐ Tibetan ༡༠༠༦༤༠༠ Khmer ១០០៦៤០០ Lao ໑໐໐໖໔໐໐ Burmese ၁၀၀၆၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006400, here are decompositions:

7 + 1006393 = 1006400
61 + 1006339 = 1006400
67 + 1006333 = 1006400
97 + 1006303 = 1006400
151 + 1006249 = 1006400
163 + 1006237 = 1006400
181 + 1006219 = 1006400
211 + 1006189 = 1006400

Showing the first eight; more decompositions exist.

Hex color

#0F5B40

RGB(15, 91, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.64.

Address: 0.15.91.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.64

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 1,006,400 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 US1,006,400 on Google Patents ↗ Look up on USPTO ↗