Live analysis

1,010,020

1,010,020 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.).

1,010,020 (one million ten thousand twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 4,591. Its proper divisors sum to 1,304,348, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6964.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 200,101
Square (n²): 1,020,140,400,400
Cube (n³): 1,030,362,207,212,008,000
Divisor count: 24
σ(n) — sum of divisors: 2,314,368
φ(n) — Euler's totient: 367,200
Sum of prime factors: 4,611

Primality

Prime factorization: 2 ² × 5 × 11 × 4591

Nearest primes: 1,010,003 (−17) · 1,010,033 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 220 · 4591 · 9182 · 18364 · 22955 · 45910 · 50501 · 91820 · 101002 · 202004 · 252505 · 505010 (half) · 1010020

Aliquot sum (sum of proper divisors): 1,304,348

Factor pairs (a × b = 1,010,020)

1 × 1010020

2 × 505010

4 × 252505

5 × 202004

10 × 101002

11 × 91820

20 × 50501

22 × 45910

44 × 22955

55 × 18364

110 × 9182

220 × 4591

First multiples

1,010,020 · 2,020,040 (double) · 3,030,060 · 4,040,080 · 5,050,100 · 6,060,120 · 7,070,140 · 8,080,160 · 9,090,180 · 10,100,200

Sums & aliquot sequence

As consecutive integers: 202,002 + 202,003 + 202,004 + 202,005 + 202,006 126,249 + 126,250 + … + 126,256 91,815 + 91,816 + … + 91,825 25,231 + 25,232 + … + 25,270

Aliquot sequence: 1,010,020 → 1,304,348 → 978,268 → 733,708 → 627,316 → 506,124 → 850,140 → 1,729,164 → 2,347,636 → 1,760,734 → 880,370 → 704,314 → 448,838 → 290,698 → 145,352 → 127,198 → 63,602 — unresolved within range

Continued fraction of √n

√1,010,020 = [1004; (1, 400, 1, 2008)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand twenty
Ordinal: 1010020th
Binary: 11110110100101100100
Octal: 3664544
Hexadecimal: 0xF6964
Base64: D2lk
One's complement: 4,293,957,275 (32-bit)
Scientific notation: 1.01002 × 10⁶
As a duration: 1,010,020 s = 11 days, 16 hours, 33 minutes, 40 seconds

In other bases

ternary (3) 1220022111011

quaternary (4) 3312211210

quinary (5) 224310040

senary (6) 33352004

septenary (7) 11404444

nonary (9) 1808434

undecimal (11) 62a930

duodecimal (12) 408604

tridecimal (13) 29495b

tetradecimal (14) 1c4124

pentadecimal (15) 14e3ea

As an angle

1,010,020° = 2,805 × 360° + 220°

220° ≈ 3.84 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓎆𓎆
Chinese: 一百零一萬零二十
Chinese (financial): 壹佰零壹萬零貳拾

In other modern scripts

Eastern Arabic ١٠١٠٠٢٠ Devanagari १०१००२० Bengali ১০১০০২০ Tamil ௧௦௧௦௦௨௦ Thai ๑๐๑๐๐๒๐ Tibetan ༡༠༡༠༠༢༠ Khmer ១០១០០២០ Lao ໑໐໑໐໐໒໐ Burmese ၁၀၁၀၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010020, here are decompositions:

17 + 1010003 = 1010020
23 + 1009997 = 1010020
29 + 1009991 = 1010020
83 + 1009937 = 1010020
233 + 1009787 = 1010020
239 + 1009781 = 1010020
293 + 1009727 = 1010020
383 + 1009637 = 1010020

Showing the first eight; more decompositions exist.

Hex color

#0F6964

RGB(15, 105, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.100.

Address: 0.15.105.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0020-10-01 (MMDYYYY (US, single-digit day))
0020-01-10 (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 1,010,020 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 US1,010,020 on Google Patents ↗ Look up on USPTO ↗