Live analysis

1,000,090

1,000,090 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.).

Abundant Number Cube-Free Evil Number Flippable Gapful Number Happy Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,000,078 1,000,079 1,000,080 1,000,081 1,000,082 1,000,083 1,000,084 1,000,085 1,000,086 1,000,087 1,000,088 1,000,089 1,000,090 1,000,091 1,000,092 1,000,093 1,000,094 1,000,095 1,000,096 1,000,097 1,000,098 1,000,099 1,000,100 1,000,101 1,000,102

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 900,001
Flips to (rotate 180°): 600,001
Square (n²): 1,000,180,008,100
Cube (n³): 1,000,270,024,300,729,000
Divisor count: 48
σ(n) — sum of divisors: 2,269,512
φ(n) — Euler's totient: 314,496
Sum of prime factors: 191

Primality

Prime factorization: 2 × 5 × 7 ² × 13 × 157

Nearest primes: 1,000,081 (−9) · 1,000,099 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 5 · 7 · 10 · 13 · 14 · 26 · 35 · 49 · 65 · 70 · 91 · 98 · 130 · 157 · 182 · 245 · 314 · 455 · 490 · 637 · 785 · 910 · 1099 · 1274 · 1570 · 2041 · 2198 · 3185 · 4082 · 5495 · 6370 · 7693 · 10205 · 10990 · 14287 · 15386 · 20410 · 28574 · 38465 · 71435 · 76930 · 100009 · 142870 · 200018 · 500045 (half) · 1000090

Aliquot sum (sum of proper divisors): 1,269,422

Factor pairs (a × b = 1,000,090)

1 × 1000090

2 × 500045

5 × 200018

7 × 142870

10 × 100009

13 × 76930

14 × 71435

26 × 38465

35 × 28574

49 × 20410

65 × 15386

70 × 14287

91 × 10990

98 × 10205

130 × 7693

157 × 6370

182 × 5495

245 × 4082

314 × 3185

455 × 2198

490 × 2041

637 × 1570

785 × 1274

910 × 1099

First multiples

1,000,090 · 2,000,180 (double) · 3,000,270 · 4,000,360 · 5,000,450 · 6,000,540 · 7,000,630 · 8,000,720 · 9,000,810 · 10,000,900

Sums & aliquot sequence

As a sum of two squares: 161² + 987² = 231² + 973² = 399² + 917² = 693² + 721²

As a sum of two cubes: 31³ + 99³

As consecutive integers: 250,021 + 250,022 + 250,023 + 250,024 200,016 + 200,017 + 200,018 + 200,019 + 200,020 142,867 + 142,868 + … + 142,873 76,924 + 76,925 + … + 76,936

Aliquot sequence: 1,000,090 → 1,269,422 → 1,104,850 → 1,060,190 → 848,170 → 697,310 → 571,906 → 285,956 → 273,820 → 301,244 → 230,980 → 254,120 → 317,740 → 349,556 → 282,124 → 215,324 → 161,500 — unresolved within range

Continued fraction of √n

√1,000,090 = [1000; (22, 4, 2, 24, 4, 24, 2, 4, 22, 2000)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million ninety
Ordinal: 1000090th
Binary: 11110100001010011010
Octal: 3641232
Hexadecimal: 0xF429A
Base64: D0Ka
One's complement: 4,293,967,205 (32-bit)
Scientific notation: 1.00009 × 10⁶
As a duration: 1,000,090 s = 11 days, 13 hours, 48 minutes, 10 seconds

In other bases

ternary (3) 1212210212101

quaternary (4) 3310022122

quinary (5) 224000330

senary (6) 33234014

septenary (7) 11333500

nonary (9) 1783771

undecimal (11) 623423

duodecimal (12) 40290a

tridecimal (13) 290290

tetradecimal (14) 1c0670

pentadecimal (15) 14b4ca

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓁨𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬零九十
Chinese (financial): 壹佰萬零玖拾

In other modern scripts

Eastern Arabic ١٠٠٠٠٩٠ Devanagari १००००९० Bengali ১০০০০৯০ Tamil ௧௦௦௦௦௯௦ Thai ๑๐๐๐๐๙๐ Tibetan ༡༠༠༠༠༩༠ Khmer ១០០០០៩០ Lao ໑໐໐໐໐໙໐ Burmese ၁၀၀၀၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000090, here are decompositions:

53 + 1000037 = 1000090
107 + 999983 = 1000090
131 + 999959 = 1000090
137 + 999953 = 1000090
173 + 999917 = 1000090
227 + 999863 = 1000090
281 + 999809 = 1000090
317 + 999773 = 1000090

Showing the first eight; more decompositions exist.

Hex color

#0F429A

RGB(15, 66, 154)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.154.

Address: 0.15.66.154
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.66.154

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 1,000,090 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 US1,000,090 on Google Patents ↗ Look up on USPTO ↗