Live analysis

1,018,020

1,018,020 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.).

1,018,020 (one million eighteen thousand twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 19² × 47. Its proper divisors sum to 2,054,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF88A4.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 208,101
Square (n²): 1,036,364,720,400
Cube (n³): 1,055,040,012,661,608,000
Divisor count: 72
σ(n) — sum of divisors: 3,072,384
φ(n) — Euler's totient: 251,712
Sum of prime factors: 97

Primality

Prime factorization: 2 ² × 3 × 5 × 19 ² × 47

Nearest primes: 1,018,019 (−1) · 1,018,021 (+1)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 19 · 20 · 30 · 38 · 47 · 57 · 60 · 76 · 94 · 95 · 114 · 141 · 188 · 190 · 228 · 235 · 282 · 285 · 361 · 380 · 470 · 564 · 570 · 705 · 722 · 893 · 940 · 1083 · 1140 · 1410 · 1444 · 1786 · 1805 · 2166 · 2679 · 2820 · 3572 · 3610 · 4332 · 4465 · 5358 · 5415 · 7220 · 8930 · 10716 · 10830 · 13395 · 16967 · 17860 · 21660 · 26790 · 33934 · 50901 · 53580 · 67868 · 84835 · 101802 · 169670 · 203604 · 254505 · 339340 · 509010 (half) · 1018020

Aliquot sum (sum of proper divisors): 2,054,364

Factor pairs (a × b = 1,018,020)

1 × 1018020

2 × 509010

3 × 339340

4 × 254505

5 × 203604

6 × 169670

10 × 101802

12 × 84835

15 × 67868

19 × 53580

20 × 50901

30 × 33934

38 × 26790

47 × 21660

57 × 17860

60 × 16967

76 × 13395

94 × 10830

95 × 10716

114 × 8930

141 × 7220

188 × 5415

190 × 5358

228 × 4465

235 × 4332

282 × 3610

285 × 3572

361 × 2820

380 × 2679

470 × 2166

564 × 1805

570 × 1786

705 × 1444

722 × 1410

893 × 1140

940 × 1083

First multiples

1,018,020 · 2,036,040 (double) · 3,054,060 · 4,072,080 · 5,090,100 · 6,108,120 · 7,126,140 · 8,144,160 · 9,162,180 · 10,180,200

Sums & aliquot sequence

As consecutive integers: 339,339 + 339,340 + 339,341 203,602 + 203,603 + 203,604 + 203,605 + 203,606 127,249 + 127,250 + … + 127,256 67,861 + 67,862 + … + 67,875

Aliquot sequence: 1,018,020 → 2,054,364 → 3,141,372 → 4,800,828 → 6,401,132 → 4,800,856 → 4,224,344 → 3,696,316 → 3,497,668 → 2,930,236 → 2,255,924 → 2,212,876 → 1,899,764 → 1,424,830 → 1,373,234 → 696,526 → 368,138 — unresolved within range

Continued fraction of √n

√1,018,020 = [1008; (1, 32, 12, 3, 1, 1, 1, 4, 1, 20, 5, 16, 2, 11, 2, 5, 9, 31, 2, 2, 1, 2, 7, 1, …)]

Representations

In words: one million eighteen thousand twenty
Ordinal: 1018020th
Binary: 11111000100010100100
Octal: 3704244
Hexadecimal: 0xF88A4
Base64: D4ik
One's complement: 4,293,949,275 (32-bit)
Scientific notation: 1.01802 × 10⁶
As a duration: 1,018,020 s = 11 days, 18 hours, 47 minutes

In other bases

ternary (3) 1220201110110

quaternary (4) 3320202210

quinary (5) 230034040

senary (6) 33453020

septenary (7) 11436663

nonary (9) 1821413

undecimal (11) 635943

duodecimal (12) 411170

tridecimal (13) 2984a3

tetradecimal (14) 1c6dda

pentadecimal (15) 151980

As an angle

1,018,020° = 2,827 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百零一萬八千零二十
Chinese (financial): 壹佰零壹萬捌仟零貳拾

In other modern scripts

Eastern Arabic ١٠١٨٠٢٠ Devanagari १०१८०२० Bengali ১০১৮০২০ Tamil ௧௦௧௮௦௨௦ Thai ๑๐๑๘๐๒๐ Tibetan ༡༠༡༨༠༢༠ Khmer ១០១៨០២០ Lao ໑໐໑໘໐໒໐ Burmese ၁၀၁၈၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018020, here are decompositions:

13 + 1018007 = 1018020
23 + 1017997 = 1018020
61 + 1017959 = 1018020
67 + 1017953 = 1018020
97 + 1017923 = 1018020
131 + 1017889 = 1018020
139 + 1017881 = 1018020
163 + 1017857 = 1018020

Showing the first eight; more decompositions exist.

Hex color

#0F88A4

RGB(15, 136, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.164.

Address: 0.15.136.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.136.164

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 8020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

8020-10-01 (MMDYYYY (US, single-digit day))
8020-01-10 (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 1,018,020 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 US1,018,020 on Google Patents ↗ Look up on USPTO ↗