Live analysis

1,020,020

1,020,020 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.).

1,020,020 (one million twenty thousand twenty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 51,001. Its proper divisors sum to 1,122,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9074.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 200,201
Square (n²): 1,040,440,800,400
Cube (n³): 1,061,270,425,224,008,000
Divisor count: 12
σ(n) — sum of divisors: 2,142,084
φ(n) — Euler's totient: 408,000
Sum of prime factors: 51,010

Primality

Prime factorization: 2 ² × 5 × 51001

Nearest primes: 1,020,013 (−7) · 1,020,023 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 5 · 10 · 20 · 51001 · 102002 · 204004 · 255005 · 510010 (half) · 1020020

Aliquot sum (sum of proper divisors): 1,122,064

Factor pairs (a × b = 1,020,020)

1 × 1020020

2 × 510010

4 × 255005

5 × 204004

10 × 102002

20 × 51001

First multiples

1,020,020 · 2,040,040 (double) · 3,060,060 · 4,080,080 · 5,100,100 · 6,120,120 · 7,140,140 · 8,160,160 · 9,180,180 · 10,200,200

Sums & aliquot sequence

As a sum of two squares: 236² + 982² = 644² + 778²

As consecutive integers: 204,002 + 204,003 + 204,004 + 204,005 + 204,006 127,499 + 127,500 + … + 127,506 25,481 + 25,482 + … + 25,520

Aliquot sequence: 1,020,020 → 1,122,064 → 1,166,976 → 2,194,434 → 2,992,878 → 4,418,370 → 8,116,542 → 12,536,610 → 18,861,150 → 42,849,186 → 42,849,198 → 63,253,890 → 124,702,398 → 154,203,138 → 180,151,038 → 210,176,250 → 328,301,382 — unresolved within range

Continued fraction of √n

√1,020,020 = [1009; (1, 24, 4, 125, 1, 402, 1, 125, 4, 24, 1, 2018)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million twenty thousand twenty
Ordinal: 1020020th
Binary: 11111001000001110100
Octal: 3710164
Hexadecimal: 0xF9074
Base64: D5B0
One's complement: 4,293,947,275 (32-bit)
Scientific notation: 1.02002 × 10⁶
As a duration: 1,020,020 s = 11 days, 19 hours, 20 minutes, 20 seconds

In other bases

ternary (3) 1220211012112

quaternary (4) 3321001310

quinary (5) 230120040

senary (6) 33510152

septenary (7) 11445551

nonary (9) 1824175

undecimal (11) 6373a1

duodecimal (12) 412358

tridecimal (13) 299381

tetradecimal (14) 1c7a28

pentadecimal (15) 152365

As an angle

1,020,020° = 2,833 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓎆
Chinese: 一百零二萬零二十
Chinese (financial): 壹佰零貳萬零貳拾

In other modern scripts

Eastern Arabic ١٠٢٠٠٢٠ Devanagari १०२००२० Bengali ১০২০০২০ Tamil ௧௦௨௦௦௨௦ Thai ๑๐๒๐๐๒๐ Tibetan ༡༠༢༠༠༢༠ Khmer ១០២០០២០ Lao ໑໐໒໐໐໒໐ Burmese ၁၀၂၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020020, here are decompositions:

7 + 1020013 = 1020020
13 + 1020007 = 1020020
19 + 1020001 = 1020020
163 + 1019857 = 1020020
181 + 1019839 = 1020020
193 + 1019827 = 1020020
307 + 1019713 = 1020020
373 + 1019647 = 1020020

Showing the first eight; more decompositions exist.

Hex color

#0F9074

RGB(15, 144, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.116.

Address: 0.15.144.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.116

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 0020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0020-02-01 (DMMYYYY (Euro, single-digit day))
0020-10-02 (MMDYYYY (US, single-digit day))
0020-02-10 (DDMYYYY (Euro, single-digit month))

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