Live analysis

1,008,090

1,008,090 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.).

1,008,090 (one million eight thousand ninety) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 23 × 487. Its proper divisors sum to 1,732,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF61DA.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,008,078 1,008,079 1,008,080 1,008,081 1,008,082 1,008,083 1,008,084 1,008,085 1,008,086 1,008,087 1,008,088 1,008,089 1,008,090 1,008,091 1,008,092 1,008,093 1,008,094 1,008,095 1,008,096 1,008,097 1,008,098 1,008,099 1,008,100 1,008,101 1,008,102

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 908,001
Flips to (rotate 180°): 608,001
Recamán's sequence: a(349,271) = 1,008,090
Square (n²): 1,016,245,448,100
Cube (n³): 1,024,466,873,775,129,000
Divisor count: 48
σ(n) — sum of divisors: 2,740,608
φ(n) — Euler's totient: 256,608
Sum of prime factors: 523

Primality

Prime factorization: 2 × 3 ² × 5 × 23 × 487

Nearest primes: 1,008,043 (−47) · 1,008,101 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 23 · 30 · 45 · 46 · 69 · 90 · 115 · 138 · 207 · 230 · 345 · 414 · 487 · 690 · 974 · 1035 · 1461 · 2070 · 2435 · 2922 · 4383 · 4870 · 7305 · 8766 · 11201 · 14610 · 21915 · 22402 · 33603 · 43830 · 56005 · 67206 · 100809 · 112010 · 168015 · 201618 · 336030 · 504045 (half) · 1008090

Aliquot sum (sum of proper divisors): 1,732,518

Factor pairs (a × b = 1,008,090)

1 × 1008090

2 × 504045

3 × 336030

5 × 201618

6 × 168015

9 × 112010

10 × 100809

15 × 67206

18 × 56005

23 × 43830

30 × 33603

45 × 22402

46 × 21915

69 × 14610

90 × 11201

115 × 8766

138 × 7305

207 × 4870

230 × 4383

345 × 2922

414 × 2435

487 × 2070

690 × 1461

974 × 1035

First multiples

1,008,090 · 2,016,180 (double) · 3,024,270 · 4,032,360 · 5,040,450 · 6,048,540 · 7,056,630 · 8,064,720 · 9,072,810 · 10,080,900

Sums & aliquot sequence

As consecutive integers: 336,029 + 336,030 + 336,031 252,021 + 252,022 + 252,023 + 252,024 201,616 + 201,617 + 201,618 + 201,619 + 201,620 112,006 + 112,007 + … + 112,014

Aliquot sequence: 1,008,090 → 1,732,518 → 2,151,882 → 2,510,568 → 4,617,432 → 8,209,368 → 16,641,432 → 28,429,308 → 43,847,260 → 48,232,028 → 45,847,972 → 34,385,986 → 17,192,996 → 12,966,364 → 10,507,436 → 7,962,484 → 5,971,870 — unresolved within range

Continued fraction of √n

√1,008,090 = [1004; (27, 7, 2, 1, 2, 6, 1, 4, 1, 2, 3, 5, 6, 1, 22, 2, 21, 1, 4, 1, 1, 1, 3, 4, …)]

Representations

In words: one million eight thousand ninety
Ordinal: 1008090th
Binary: 11110110000111011010
Octal: 3660732
Hexadecimal: 0xF61DA
Base64: D2Ha
One's complement: 4,293,959,205 (32-bit)
Scientific notation: 1.00809 × 10⁶
As a duration: 1,008,090 s = 11 days, 16 hours, 1 minute, 30 seconds

In other bases

ternary (3) 1220012211200

quaternary (4) 3312013122

quinary (5) 224224330

senary (6) 33335030

septenary (7) 11366016

nonary (9) 1805750

undecimal (11) 629436

duodecimal (12) 407476

tridecimal (13) 293b05

tetradecimal (14) 1c3546

pentadecimal (15) 14da60

As an angle

1,008,090° = 2,800 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬八千零九十
Chinese (financial): 壹佰萬捌仟零玖拾

In other modern scripts

Eastern Arabic ١٠٠٨٠٩٠ Devanagari १००८०९० Bengali ১০০৮০৯০ Tamil ௧௦௦௮௦௯௦ Thai ๑๐๐๘๐๙๐ Tibetan ༡༠༠༨༠༩༠ Khmer ១០០៨០៩០ Lao ໑໐໐໘໐໙໐ Burmese ၁၀၀၈၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008090, here are decompositions:

47 + 1008043 = 1008090
53 + 1008037 = 1008090
59 + 1008031 = 1008090
73 + 1008017 = 1008090
89 + 1008001 = 1008090
113 + 1007977 = 1008090
131 + 1007959 = 1008090
151 + 1007939 = 1008090

Showing the first eight; more decompositions exist.

Hex color

#0F61DA

RGB(15, 97, 218)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.218.

Address: 0.15.97.218
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.218

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 1,008,090 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 US1,008,090 on Google Patents ↗ Look up on USPTO ↗