Live analysis

1,002,090

1,002,090 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.).

1,002,090 (one million two thousand ninety) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 33,403. Its proper divisors sum to 1,402,998, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A6A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,078 1,002,079 1,002,080 1,002,081 1,002,082 1,002,083 1,002,084 1,002,085 1,002,086 1,002,087 1,002,088 1,002,089 1,002,090 1,002,091 1,002,092 1,002,093 1,002,094 1,002,095 1,002,096 1,002,097 1,002,098 1,002,099 1,002,100 1,002,101 1,002,102

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 902,001
Square (n²): 1,004,184,368,100
Cube (n³): 1,006,283,113,429,329,000
Divisor count: 16
σ(n) — sum of divisors: 2,405,088
φ(n) — Euler's totient: 267,216
Sum of prime factors: 33,413

Primality

Prime factorization: 2 × 3 × 5 × 33403

Nearest primes: 1,002,083 (−7) · 1,002,091 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 33403 · 66806 · 100209 · 167015 · 200418 · 334030 · 501045 (half) · 1002090

Aliquot sum (sum of proper divisors): 1,402,998

Factor pairs (a × b = 1,002,090)

1 × 1002090

2 × 501045

3 × 334030

5 × 200418

6 × 167015

10 × 100209

15 × 66806

30 × 33403

First multiples

1,002,090 · 2,004,180 (double) · 3,006,270 · 4,008,360 · 5,010,450 · 6,012,540 · 7,014,630 · 8,016,720 · 9,018,810 · 10,020,900

Sums & aliquot sequence

As consecutive integers: 334,029 + 334,030 + 334,031 250,521 + 250,522 + 250,523 + 250,524 200,416 + 200,417 + 200,418 + 200,419 + 200,420 83,502 + 83,503 + … + 83,513

Aliquot sequence: 1,002,090 → 1,402,998 → 1,653,642 → 2,067,318 → 2,936,538 → 4,004,838 → 4,714,938 → 5,569,830 → 11,749,050 → 21,019,686 → 21,019,698 → 31,029,390 → 61,174,098 → 79,390,638 → 99,526,482 → 144,443,790 → 242,628,210 — unresolved within range

Continued fraction of √n

√1,002,090 = [1001; (22, 2, 48, 2, 1, 11, 2, 1, 1, 4, 3, 2, 1, 5, 1, 1, 5, 1, 8, 1, 2, 1, 2, 1, …)]

Representations

In words: one million two thousand ninety
Ordinal: 1002090th
Binary: 11110100101001101010
Octal: 3645152
Hexadecimal: 0xF4A6A
Base64: D0pq
One's complement: 4,293,965,205 (32-bit)
Scientific notation: 1.00209 × 10⁶
As a duration: 1,002,090 s = 11 days, 14 hours, 21 minutes, 30 seconds

In other bases

ternary (3) 1212220121110

quaternary (4) 3310221222

quinary (5) 224031330

senary (6) 33251150

septenary (7) 11342355

nonary (9) 1786543

undecimal (11) 624981

duodecimal (12) 403ab6

tridecimal (13) 29116b

tetradecimal (14) 1c129c

pentadecimal (15) 14bdb0

As an angle

1,002,090° = 2,783 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬二千零九十
Chinese (financial): 壹佰萬貳仟零玖拾

In other modern scripts

Eastern Arabic ١٠٠٢٠٩٠ Devanagari १००२०९० Bengali ১০০২০৯০ Tamil ௧௦௦௨௦௯௦ Thai ๑๐๐๒๐๙๐ Tibetan ༡༠༠༢༠༩༠ Khmer ១០០២០៩០ Lao ໑໐໐໒໐໙໐ Burmese ၁၀၀၂၀၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002090, here are decompositions:

7 + 1002083 = 1002090
13 + 1002077 = 1002090
17 + 1002073 = 1002090
29 + 1002061 = 1002090
41 + 1002049 = 1002090
73 + 1002017 = 1002090
101 + 1001989 = 1002090
107 + 1001983 = 1002090

Showing the first eight; more decompositions exist.

Hex color

#0F4A6A

RGB(15, 74, 106)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.106.

Address: 0.15.74.106
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.106

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 1,002,090 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 US1,002,090 on Google Patents ↗ Look up on USPTO ↗