Live analysis

1,012,000

1,012,000 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.).

1,012,000 (one million twelve thousand) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 5³ × 11 × 23. Its proper divisors sum to 1,818,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7120.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 4
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 2,101
Square (n²): 1,024,144,000,000
Cube (n³): 1,036,433,728,000,000,000
Divisor count: 96
σ(n) — sum of divisors: 2,830,464
φ(n) — Euler's totient: 352,000
Sum of prime factors: 59

Primality

Prime factorization: 2 ⁵ × 5 ³ × 11 × 23

Nearest primes: 1,011,979 (−21) · 1,012,007 (+7)

Divisors & multiples

All divisors (96)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 23 · 25 · 32 · 40 · 44 · 46 · 50 · 55 · 80 · 88 · 92 · 100 · 110 · 115 · 125 · 160 · 176 · 184 · 200 · 220 · 230 · 250 · 253 · 275 · 352 · 368 · 400 · 440 · 460 · 500 · 506 · 550 · 575 · 736 · 800 · 880 · 920 · 1000 · 1012 · 1100 · 1150 · 1265 · 1375 · 1760 · 1840 · 2000 · 2024 · 2200 · 2300 · 2530 · 2750 · 2875 · 3680 · 4000 · 4048 · 4400 · 4600 · 5060 · 5500 · 5750 · 6325 · 8096 · 8800 · 9200 · 10120 · 11000 · 11500 · 12650 · 18400 · 20240 · 22000 · 23000 · 25300 · 31625 · 40480 · 44000 · 46000 · 50600 · 63250 · 92000 · 101200 · 126500 · 202400 · 253000 · 506000 (half) · 1012000

Aliquot sum (sum of proper divisors): 1,818,464

Factor pairs (a × b = 1,012,000)

1 × 1012000

2 × 506000

4 × 253000

5 × 202400

8 × 126500

10 × 101200

11 × 92000

16 × 63250

20 × 50600

22 × 46000

23 × 44000

25 × 40480

32 × 31625

40 × 25300

44 × 23000

46 × 22000

50 × 20240

55 × 18400

80 × 12650

88 × 11500

92 × 11000

100 × 10120

110 × 9200

115 × 8800

125 × 8096

160 × 6325

176 × 5750

184 × 5500

200 × 5060

220 × 4600

230 × 4400

250 × 4048

253 × 4000

275 × 3680

352 × 2875

368 × 2750

400 × 2530

440 × 2300

460 × 2200

500 × 2024

506 × 2000

550 × 1840

575 × 1760

736 × 1375

800 × 1265

880 × 1150

920 × 1100

1000 × 1012

First multiples

1,012,000 · 2,024,000 (double) · 3,036,000 · 4,048,000 · 5,060,000 · 6,072,000 · 7,084,000 · 8,096,000 · 9,108,000 · 10,120,000

Sums & aliquot sequence

As consecutive integers: 202,398 + 202,399 + 202,400 + 202,401 + 202,402 91,995 + 91,996 + … + 92,005 43,989 + 43,990 + … + 44,011 40,468 + 40,469 + … + 40,492

Aliquot sequence: 1,012,000 → 1,818,464 → 1,761,700 → 2,126,940 → 3,828,660 → 7,868,172 → 12,553,460 → 13,808,848 → 13,569,360 → 35,927,472 → 74,779,728 → 119,651,280 → 310,987,824 → 607,167,696 → 990,698,288 → 928,779,676 → 847,575,380 — unresolved within range

Continued fraction of √n

√1,012,000 = [1005; (1, 54, 1, 7, 1, 23, 1, 19, 6, 3, 1, 8, 5, 2, 25, 80, 2, 3, 1, 1, 1, 1, 1, 1, …)]

Representations

In words: one million twelve thousand
Ordinal: 1012000th
Binary: 11110111000100100000
Octal: 3670440
Hexadecimal: 0xF7120
Base64: D3Eg
One's complement: 4,293,955,295 (32-bit)
Scientific notation: 1.012 × 10⁶
As a duration: 1,012,000 s = 11 days, 17 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 1220102012111

quaternary (4) 3313010200

quinary (5) 224341000

senary (6) 33405104

septenary (7) 11413303

nonary (9) 1812174

undecimal (11) 631370

duodecimal (12) 409794

tridecimal (13) 295822

tetradecimal (14) 1c4b3a

pentadecimal (15) 14ecba

As an angle

1,012,000° = 2,811 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼
Chinese: 一百零一萬二千
Chinese (financial): 壹佰零壹萬貳仟

In other modern scripts

Eastern Arabic ١٠١٢٠٠٠ Devanagari १०१२००० Bengali ১০১২০০০ Tamil ௧௦௧௨௦௦௦ Thai ๑๐๑๒๐๐๐ Tibetan ༡༠༡༢༠༠༠ Khmer ១០១២០០០ Lao ໑໐໑໒໐໐໐ Burmese ၁၀၁၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012000, here are decompositions:

53 + 1011947 = 1012000
83 + 1011917 = 1012000
107 + 1011893 = 1012000
173 + 1011827 = 1012000
251 + 1011749 = 1012000
263 + 1011737 = 1012000
281 + 1011719 = 1012000
359 + 1011641 = 1012000

Showing the first eight; more decompositions exist.

Hex color

#0F7120

RGB(15, 113, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.113.32.

Address: 0.15.113.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.113.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 2000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2000-10-01 (MMDYYYY (US, single-digit day))
2000-01-10 (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 1,012,000 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 US1,012,000 on Google Patents ↗ Look up on USPTO ↗