Live analysis

1,002,020

1,002,020 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.).

1,002,020 (one million two thousand twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 50,101. Its proper divisors sum to 1,102,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A24.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,008 1,002,009 1,002,010 1,002,011 1,002,012 1,002,013 1,002,014 1,002,015 1,002,016 1,002,017 1,002,018 1,002,019 1,002,020 1,002,021 1,002,022 1,002,023 1,002,024 1,002,025 1,002,026 1,002,027 1,002,028 1,002,029 1,002,030 1,002,031 1,002,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 202,001
Square (n²): 1,004,044,080,400
Cube (n³): 1,006,072,249,442,408,000
Divisor count: 12
σ(n) — sum of divisors: 2,104,284
φ(n) — Euler's totient: 400,800
Sum of prime factors: 50,110

Primality

Prime factorization: 2 ² × 5 × 50101

Nearest primes: 1,002,017 (−3) · 1,002,049 (+29)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 50101 · 100202 · 200404 · 250505 · 501010 (half) · 1002020

Aliquot sum (sum of proper divisors): 1,102,264

Factor pairs (a × b = 1,002,020)

1 × 1002020

2 × 501010

4 × 250505

5 × 200404

10 × 100202

20 × 50101

First multiples

1,002,020 · 2,004,040 (double) · 3,006,060 · 4,008,080 · 5,010,100 · 6,012,120 · 7,014,140 · 8,016,160 · 9,018,180 · 10,020,200

Sums & aliquot sequence

As a sum of two squares: 134² + 992² = 488² + 874²

As consecutive integers: 200,402 + 200,403 + 200,404 + 200,405 + 200,406 125,249 + 125,250 + … + 125,256 25,031 + 25,032 + … + 25,070

Aliquot sequence: 1,002,020 → 1,102,264 → 977,456 → 916,396 → 810,756 → 1,291,484 → 968,620 → 1,173,380 → 1,480,852 → 1,110,646 → 566,954 → 296,374 → 182,426 → 96,538 → 64,742 → 32,374 → 16,190 — unresolved within range

Continued fraction of √n

√1,002,020 = [1001; (105, 2, 1, 2, 2, 5, 8, 48, 1, 2, 2, 2, 1, 1, 1, 1, 63, 1, 30, 3, 2, 1, 2, 1, …)]

Representations

In words: one million two thousand twenty
Ordinal: 1002020th
Binary: 11110100101000100100
Octal: 3645044
Hexadecimal: 0xF4A24
Base64: D0ok
One's complement: 4,293,965,275 (32-bit)
Scientific notation: 1.00202 × 10⁶
As a duration: 1,002,020 s = 11 days, 14 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 1212220111212

quaternary (4) 3310220210

quinary (5) 224031040

senary (6) 33250552

septenary (7) 11342225

nonary (9) 1786455

undecimal (11) 624918

duodecimal (12) 403a58

tridecimal (13) 291116

tetradecimal (14) 1c124c

pentadecimal (15) 14bd65

As an angle

1,002,020° = 2,783 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆
Chinese: 一百萬二千零二十
Chinese (financial): 壹佰萬貳仟零貳拾

In other modern scripts

Eastern Arabic ١٠٠٢٠٢٠ Devanagari १००२०२० Bengali ১০০২০২০ Tamil ௧௦௦௨௦௨௦ Thai ๑๐๐๒๐๒๐ Tibetan ༡༠༠༢༠༢༠ Khmer ១០០២០២០ Lao ໑໐໐໒໐໒໐ Burmese ၁၀၀၂၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002020, here are decompositions:

3 + 1002017 = 1002020
31 + 1001989 = 1002020
37 + 1001983 = 1002020
43 + 1001977 = 1002020
67 + 1001953 = 1002020
73 + 1001947 = 1002020
79 + 1001941 = 1002020
109 + 1001911 = 1002020

Showing the first eight; more decompositions exist.

Hex color

#0F4A24

RGB(15, 74, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.36.

Address: 0.15.74.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.36

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 1,002,020 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 US1,002,020 on Google Patents ↗ Look up on USPTO ↗