Live analysis

1,012,020

1,012,020 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.).

1,012,020 (one million twelve thousand twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 101 × 167. Its proper divisors sum to 1,866,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7134.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 202,101
Square (n²): 1,024,184,480,400
Cube (n³): 1,036,495,177,854,408,000
Divisor count: 48
σ(n) — sum of divisors: 2,878,848
φ(n) — Euler's totient: 265,600
Sum of prime factors: 280

Primality

Prime factorization: 2 ² × 3 × 5 × 101 × 167

Nearest primes: 1,012,009 (−11) · 1,012,031 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 101 · 167 · 202 · 303 · 334 · 404 · 501 · 505 · 606 · 668 · 835 · 1002 · 1010 · 1212 · 1515 · 1670 · 2004 · 2020 · 2505 · 3030 · 3340 · 5010 · 6060 · 10020 · 16867 · 33734 · 50601 · 67468 · 84335 · 101202 · 168670 · 202404 · 253005 · 337340 · 506010 (half) · 1012020

Aliquot sum (sum of proper divisors): 1,866,828

Factor pairs (a × b = 1,012,020)

1 × 1012020

2 × 506010

3 × 337340

4 × 253005

5 × 202404

6 × 168670

10 × 101202

12 × 84335

15 × 67468

20 × 50601

30 × 33734

60 × 16867

101 × 10020

167 × 6060

202 × 5010

303 × 3340

334 × 3030

404 × 2505

501 × 2020

505 × 2004

606 × 1670

668 × 1515

835 × 1212

1002 × 1010

First multiples

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

Sums & aliquot sequence

As consecutive integers: 337,339 + 337,340 + 337,341 202,402 + 202,403 + 202,404 + 202,405 + 202,406 126,499 + 126,500 + … + 126,506 67,461 + 67,462 + … + 67,475

Aliquot sequence: 1,012,020 → 1,866,828 → 2,489,132 → 1,922,548 → 1,452,012 → 1,936,044 → 3,403,836 → 5,421,204 → 8,282,486 → 4,141,246 → 2,222,258 → 1,140,970 → 942,998 → 686,602 → 490,454 → 248,914 → 146,474 — unresolved within range

Continued fraction of √n

√1,012,020 = [1005; (1, 124, 1, 2, 1, 124, 1, 2010)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand twenty
Ordinal: 1012020th
Binary: 11110111000100110100
Octal: 3670464
Hexadecimal: 0xF7134
Base64: D3E0
One's complement: 4,293,955,275 (32-bit)
Scientific notation: 1.01202 × 10⁶
As a duration: 1,012,020 s = 11 days, 17 hours, 7 minutes

In other bases

ternary (3) 1220102020020

quaternary (4) 3313010310

quinary (5) 224341040

senary (6) 33405140

septenary (7) 11413332

nonary (9) 1812206

undecimal (11) 631389

duodecimal (12) 4097b0

tridecimal (13) 295839

tetradecimal (14) 1c4b52

pentadecimal (15) 14ecd0

As an angle

1,012,020° = 2,811 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓎆𓎆
Chinese: 一百零一萬二千零二十
Chinese (financial): 壹佰零壹萬貳仟零貳拾

In other modern scripts

Eastern Arabic ١٠١٢٠٢٠ Devanagari १०१२०२० Bengali ১০১২০২০ Tamil ௧௦௧௨௦௨௦ Thai ๑๐๑๒๐๒๐ Tibetan ༡༠༡༢༠༢༠ Khmer ១០១២០២០ Lao ໑໐໑໒໐໒໐ Burmese ၁၀၁၂၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012020, here are decompositions:

11 + 1012009 = 1012020
13 + 1012007 = 1012020
41 + 1011979 = 1012020
47 + 1011973 = 1012020
59 + 1011961 = 1012020
73 + 1011947 = 1012020
83 + 1011937 = 1012020
103 + 1011917 = 1012020

Showing the first eight; more decompositions exist.

Hex color

#0F7134

RGB(15, 113, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.52.

Address: 0.15.113.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.52

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 2020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2020-10-01 (MMDYYYY (US, single-digit day))
2020-01-10 (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 1,012,020 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 US1,012,020 on Google Patents ↗ Look up on USPTO ↗