Live analysis

1,018,000

1,018,000 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.).

1,018,000 (one million eighteen thousand) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 509. Its proper divisors sum to 1,448,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8890.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,017,988 1,017,989 1,017,990 1,017,991 1,017,992 1,017,993 1,017,994 1,017,995 1,017,996 1,017,997 1,017,998 1,017,999 1,018,000 1,018,001 1,018,002 1,018,003 1,018,004 1,018,005 1,018,006 1,018,007 1,018,008 1,018,009 1,018,010 1,018,011 1,018,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,101
Flips to (rotate 180°): 8,101
Square (n²): 1,036,324,000,000
Cube (n³): 1,054,977,832,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 2,466,360
φ(n) — Euler's totient: 406,400
Sum of prime factors: 532

Primality

Prime factorization: 2 ⁴ × 5 ³ × 509

Nearest primes: 1,017,997 (−3) · 1,018,007 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 125 · 200 · 250 · 400 · 500 · 509 · 1000 · 1018 · 2000 · 2036 · 2545 · 4072 · 5090 · 8144 · 10180 · 12725 · 20360 · 25450 · 40720 · 50900 · 63625 · 101800 · 127250 · 203600 · 254500 · 509000 (half) · 1018000

Aliquot sum (sum of proper divisors): 1,448,360

Factor pairs (a × b = 1,018,000)

1 × 1018000

2 × 509000

4 × 254500

5 × 203600

8 × 127250

10 × 101800

16 × 63625

20 × 50900

25 × 40720

40 × 25450

50 × 20360

80 × 12725

100 × 10180

125 × 8144

200 × 5090

250 × 4072

400 × 2545

500 × 2036

509 × 2000

1000 × 1018

First multiples

1,018,000 · 2,036,000 (double) · 3,054,000 · 4,072,000 · 5,090,000 · 6,108,000 · 7,126,000 · 8,144,000 · 9,162,000 · 10,180,000

Sums & aliquot sequence

As a sum of two squares: 44² + 1,008² = 240² + 980² = 396² + 928² = 640² + 780²

As consecutive integers: 203,598 + 203,599 + 203,600 + 203,601 + 203,602 40,708 + 40,709 + … + 40,732 31,797 + 31,798 + … + 31,828 8,082 + 8,083 + … + 8,206

Aliquot sequence: 1,018,000 → 1,448,360 → 1,810,540 → 1,991,636 → 1,588,192 → 1,641,440 → 2,236,840 → 2,796,140 → 3,109,732 → 2,332,306 → 1,166,156 → 874,624 → 868,046 → 452,578 → 323,294 → 166,426 → 111,278 — unresolved within range

Continued fraction of √n

√1,018,000 = [1008; (1, 23, 1, 10, 1, 1, 45, 2, 1, 16, 126, 16, 1, 2, 45, 1, 1, 10, 1, 23, 1, 2016)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million eighteen thousand
Ordinal: 1018000th
Binary: 11111000100010010000
Octal: 3704220
Hexadecimal: 0xF8890
Base64: D4iQ
One's complement: 4,293,949,295 (32-bit)
Scientific notation: 1.018 × 10⁶
As a duration: 1,018,000 s = 11 days, 18 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 1220201102201

quaternary (4) 3320202100

quinary (5) 230034000

senary (6) 33452544

septenary (7) 11436634

nonary (9) 1821381

undecimal (11) 635925

duodecimal (12) 411154

tridecimal (13) 298489

tetradecimal (14) 1c6dc4

pentadecimal (15) 15196a

As an angle

1,018,000° = 2,827 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零一萬八千
Chinese (financial): 壹佰零壹萬捌仟

In other modern scripts

Eastern Arabic ١٠١٨٠٠٠ Devanagari १०१८००० Bengali ১০১৮০০০ Tamil ௧௦௧௮௦௦௦ Thai ๑๐๑๘๐๐๐ Tibetan ༡༠༡༨༠༠༠ Khmer ១០១៨០០០ Lao ໑໐໑໘໐໐໐ Burmese ၁၀၁၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018000, here are decompositions:

3 + 1017997 = 1018000
41 + 1017959 = 1018000
47 + 1017953 = 1018000
149 + 1017851 = 1018000
173 + 1017827 = 1018000
251 + 1017749 = 1018000
281 + 1017719 = 1018000
317 + 1017683 = 1018000

Showing the first eight; more decompositions exist.

Hex color

#0F8890

RGB(15, 136, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.136.144.

Address: 0.15.136.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.136.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 8000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

8000-10-01 (MMDYYYY (US, single-digit day))
8000-01-10 (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 1,018,000 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 US1,018,000 on Google Patents ↗ Look up on USPTO ↗