Live analysis

1,006,080

1,006,080 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.).

1,006,080 (one million six thousand eighty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁹ × 3 × 5 × 131. Its proper divisors sum to 2,234,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5A00.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,006,068 1,006,069 1,006,070 1,006,071 1,006,072 1,006,073 1,006,074 1,006,075 1,006,076 1,006,077 1,006,078 1,006,079 1,006,080 1,006,081 1,006,082 1,006,083 1,006,084 1,006,085 1,006,086 1,006,087 1,006,088 1,006,089 1,006,090 1,006,091 1,006,092

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 806,001
Flips to (rotate 180°): 809,001
Square (n²): 1,012,196,966,400
Cube (n³): 1,018,351,123,955,712,000
Divisor count: 80
σ(n) — sum of divisors: 3,240,864
φ(n) — Euler's totient: 266,240
Sum of prime factors: 157

Primality

Prime factorization: 2 ⁹ × 3 × 5 × 131

Nearest primes: 1,006,063 (−17) · 1,006,087 (+7)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 80 · 96 · 120 · 128 · 131 · 160 · 192 · 240 · 256 · 262 · 320 · 384 · 393 · 480 · 512 · 524 · 640 · 655 · 768 · 786 · 960 · 1048 · 1280 · 1310 · 1536 · 1572 · 1920 · 1965 · 2096 · 2560 · 2620 · 3144 · 3840 · 3930 · 4192 · 5240 · 6288 · 7680 · 7860 · 8384 · 10480 · 12576 · 15720 · 16768 · 20960 · 25152 · 31440 · 33536 · 41920 · 50304 · 62880 · 67072 · 83840 · 100608 · 125760 · 167680 · 201216 · 251520 · 335360 · 503040 (half) · 1006080

Aliquot sum (sum of proper divisors): 2,234,784

Factor pairs (a × b = 1,006,080)

1 × 1006080

2 × 503040

3 × 335360

4 × 251520

5 × 201216

6 × 167680

8 × 125760

10 × 100608

12 × 83840

15 × 67072

16 × 62880

20 × 50304

24 × 41920

30 × 33536

32 × 31440

40 × 25152

48 × 20960

60 × 16768

64 × 15720

80 × 12576

96 × 10480

120 × 8384

128 × 7860

131 × 7680

160 × 6288

192 × 5240

240 × 4192

256 × 3930

262 × 3840

320 × 3144

384 × 2620

393 × 2560

480 × 2096

512 × 1965

524 × 1920

640 × 1572

655 × 1536

768 × 1310

786 × 1280

960 × 1048

First multiples

1,006,080 · 2,012,160 (double) · 3,018,240 · 4,024,320 · 5,030,400 · 6,036,480 · 7,042,560 · 8,048,640 · 9,054,720 · 10,060,800

Sums & aliquot sequence

As consecutive integers: 335,359 + 335,360 + 335,361 201,214 + 201,215 + 201,216 + 201,217 + 201,218 67,065 + 67,066 + … + 67,079 7,615 + 7,616 + … + 7,745

Aliquot sequence: 1,006,080 → 2,234,784 → 3,631,776 → 5,901,888 → 10,008,672 → 16,490,640 → 34,631,088 → 54,832,680 → 154,082,520 → 381,943,080 → 989,743,320 → 2,423,272,680 → 5,654,306,520 → 14,469,981,480 — keeps growing

Continued fraction of √n

√1,006,080 = [1003; (28, 3, 1, 14, 1, 3, 1, 30, 1, 1, 4, 1, 3, 2, 1, 2, 2, 1, 1, 15, 1, 124, 2, 3, …)]

Representations

In words: one million six thousand eighty
Ordinal: 1006080th
Binary: 11110101101000000000
Octal: 3655000
Hexadecimal: 0xF5A00
Base64: D1oA
One's complement: 4,293,961,215 (32-bit)
Scientific notation: 1.00608 × 10⁶
As a duration: 1,006,080 s = 11 days, 15 hours, 28 minutes

In other bases

ternary (3) 1220010002020

quaternary (4) 3311220000

quinary (5) 224143310

senary (6) 33321440

septenary (7) 11360115

nonary (9) 1803066

undecimal (11) 627979

duodecimal (12) 406280

tridecimal (13) 292c1a

tetradecimal (14) 1c290c

pentadecimal (15) 14d170

As an angle

1,006,080° = 2,794 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬六千零八十
Chinese (financial): 壹佰萬陸仟零捌拾

In other modern scripts

Eastern Arabic ١٠٠٦٠٨٠ Devanagari १००६०८० Bengali ১০০৬০৮০ Tamil ௧௦௦௬௦௮௦ Thai ๑๐๐๖๐๘๐ Tibetan ༡༠༠༦༠༨༠ Khmer ១០០៦០៨០ Lao ໑໐໐໖໐໘໐ Burmese ၁၀၀၆၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006080, here are decompositions:

17 + 1006063 = 1006080
43 + 1006037 = 1006080
59 + 1006021 = 1006080
73 + 1006007 = 1006080
109 + 1005971 = 1006080
149 + 1005931 = 1006080
167 + 1005913 = 1006080
197 + 1005883 = 1006080

Showing the first eight; more decompositions exist.

Hex color

#0F5A00

RGB(15, 90, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.90.0.

Address: 0.15.90.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.90.0

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 1,006,080 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 US1,006,080 on Google Patents ↗ Look up on USPTO ↗