Live analysis

1,020,012

1,020,012 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.).

1,020,012 (one million twenty thousand twelve) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 12,143. Its proper divisors sum to 1,700,244, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF906C.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,020,000 1,020,001 1,020,002 1,020,003 1,020,004 1,020,005 1,020,006 1,020,007 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,100,201
Square (n²): 1,040,424,480,144
Cube (n³): 1,061,245,454,840,641,728
Divisor count: 24
σ(n) — sum of divisors: 2,720,256
φ(n) — Euler's totient: 291,408
Sum of prime factors: 12,157

Primality

Prime factorization: 2 ² × 3 × 7 × 12143

Nearest primes: 1,020,011 (−1) · 1,020,013 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 12143 · 24286 · 36429 · 48572 · 72858 · 85001 · 145716 · 170002 · 255003 · 340004 · 510006 (half) · 1020012

Aliquot sum (sum of proper divisors): 1,700,244

Factor pairs (a × b = 1,020,012)

1 × 1020012

2 × 510006

3 × 340004

4 × 255003

6 × 170002

7 × 145716

12 × 85001

14 × 72858

21 × 48572

28 × 36429

42 × 24286

84 × 12143

First multiples

1,020,012 · 2,040,024 (double) · 3,060,036 · 4,080,048 · 5,100,060 · 6,120,072 · 7,140,084 · 8,160,096 · 9,180,108 · 10,200,120

Sums & aliquot sequence

As consecutive integers: 340,003 + 340,004 + 340,005 145,713 + 145,714 + … + 145,719 127,498 + 127,499 + … + 127,505 48,562 + 48,563 + … + 48,582

Aliquot sequence: 1,020,012 → 1,700,244 → 3,756,396 → 6,355,860 → 14,583,660 → 35,692,692 → 59,488,044 → 113,570,772 → 193,449,900 → 446,231,380 → 644,948,780 → 930,571,348 → 999,860,652 → 1,979,464,788 → 3,817,377,900 → 9,857,340,612 → 18,683,171,388 — keeps growing

Continued fraction of √n

√1,020,012 = [1009; (1, 21, 1, 20, 1, 3, 4, 1, 1, 3, 5, 1, 1, 10, 2, 3, 3, 7, 1, 2, 8, 4, 1, 2, …)]

Representations

In words: one million twenty thousand twelve
Ordinal: 1020012th
Binary: 11111001000001101100
Octal: 3710154
Hexadecimal: 0xF906C
Base64: D5Bs
One's complement: 4,293,947,283 (32-bit)
Scientific notation: 1.020012 × 10⁶
As a duration: 1,020,012 s = 11 days, 19 hours, 20 minutes, 12 seconds

In other bases

ternary (3) 1220211012020

quaternary (4) 3321001230

quinary (5) 230120022

senary (6) 33510140

septenary (7) 11445540

nonary (9) 1824166

undecimal (11) 637394

duodecimal (12) 412350

tridecimal (13) 299376

tetradecimal (14) 1c7a20

pentadecimal (15) 15235c

As an angle

1,020,012° = 2,833 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓎆𓏺𓏺
Chinese: 一百零二萬零一十二
Chinese (financial): 壹佰零貳萬零壹拾貳

In other modern scripts

Eastern Arabic ١٠٢٠٠١٢ Devanagari १०२००१२ Bengali ১০২০০১২ Tamil ௧௦௨௦௦௧௨ Thai ๑๐๒๐๐๑๒ Tibetan ༡༠༢༠༠༡༢ Khmer ១០២០០១២ Lao ໑໐໒໐໐໑໒ Burmese ၁၀၂၀၀၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020012, here are decompositions:

5 + 1020007 = 1020012
11 + 1020001 = 1020012
41 + 1019971 = 1020012
109 + 1019903 = 1020012
113 + 1019899 = 1020012
139 + 1019873 = 1020012
151 + 1019861 = 1020012
163 + 1019849 = 1020012

Showing the first eight; more decompositions exist.

Hex color

#0F906C

RGB(15, 144, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.144.108.

Address: 0.15.144.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.144.108

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 2, 0012 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0012-02-01 (DMMYYYY (Euro, single-digit day))
0012-10-02 (MMDYYYY (US, single-digit day))
0012-02-10 (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 1,020,012 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 US1,020,012 on Google Patents ↗ Look up on USPTO ↗