Live analysis

1,014,000

1,014,000 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.).

1,014,000 (one million fourteen thousand) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5³ × 13². Its proper divisors sum to 2,525,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF78F0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,013,988 1,013,989 1,013,990 1,013,991 1,013,992 1,013,993 1,013,994 1,013,995 1,013,996 1,013,997 1,013,998 1,013,999 1,014,000 1,014,001 1,014,002 1,014,003 1,014,004 1,014,005 1,014,006 1,014,007 1,014,008 1,014,009 1,014,010 1,014,011 1,014,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,101
Square (n²): 1,028,196,000,000
Cube (n³): 1,042,590,744,000,000,000
Divisor count: 120
σ(n) — sum of divisors: 3,539,952
φ(n) — Euler's totient: 249,600
Sum of prime factors: 52

Primality

Prime factorization: 2 ⁴ × 3 × 5 ³ × 13 ²

Nearest primes: 1,013,993 (−7) · 1,014,007 (+7)

Divisors & multiples

All divisors (120)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 25 · 26 · 30 · 39 · 40 · 48 · 50 · 52 · 60 · 65 · 75 · 78 · 80 · 100 · 104 · 120 · 125 · 130 · 150 · 156 · 169 · 195 · 200 · 208 · 240 · 250 · 260 · 300 · 312 · 325 · 338 · 375 · 390 · 400 · 500 · 507 · 520 · 600 · 624 · 650 · 676 · 750 · 780 · 845 · 975 · 1000 · 1014 · 1040 · 1200 · 1300 · 1352 · 1500 · 1560 · 1625 · 1690 · 1950 · 2000 · 2028 · 2535 · 2600 · 2704 · 3000 · 3120 · 3250 · 3380 · 3900 · 4056 · 4225 · 4875 · 5070 · 5200 · 6000 · 6500 · 6760 · 7800 · 8112 · 8450 · 9750 · 10140 · 12675 · 13000 · 13520 · 15600 · 16900 · 19500 · 20280 · 21125 · 25350 · 26000 · 33800 · 39000 · 40560 · 42250 · 50700 · 63375 · 67600 · 78000 · 84500 · 101400 · 126750 · 169000 · 202800 · 253500 · 338000 · 507000 (half) · 1014000

Aliquot sum (sum of proper divisors): 2,525,952

Factor pairs (a × b = 1,014,000)

1 × 1014000

2 × 507000

3 × 338000

4 × 253500

5 × 202800

6 × 169000

8 × 126750

10 × 101400

12 × 84500

13 × 78000

15 × 67600

16 × 63375

20 × 50700

24 × 42250

25 × 40560

26 × 39000

30 × 33800

39 × 26000

40 × 25350

48 × 21125

50 × 20280

52 × 19500

60 × 16900

65 × 15600

75 × 13520

78 × 13000

80 × 12675

100 × 10140

104 × 9750

120 × 8450

125 × 8112

130 × 7800

150 × 6760

156 × 6500

169 × 6000

195 × 5200

200 × 5070

208 × 4875

240 × 4225

250 × 4056

260 × 3900

300 × 3380

312 × 3250

325 × 3120

338 × 3000

375 × 2704

390 × 2600

400 × 2535

500 × 2028

507 × 2000

520 × 1950

600 × 1690

624 × 1625

650 × 1560

676 × 1500

750 × 1352

780 × 1300

845 × 1200

975 × 1040

1000 × 1014

First multiples

1,014,000 · 2,028,000 (double) · 3,042,000 · 4,056,000 · 5,070,000 · 6,084,000 · 7,098,000 · 8,112,000 · 9,126,000 · 10,140,000

Sums & aliquot sequence

As consecutive integers: 337,999 + 338,000 + 338,001 202,798 + 202,799 + 202,800 + 202,801 + 202,802 77,994 + 77,995 + … + 78,006 67,593 + 67,594 + … + 67,607

Aliquot sequence: 1,014,000 → 2,525,952 → 5,715,456 → 9,764,580 → 22,039,836 → 41,257,188 → 82,011,804 → 141,350,244 → 243,614,364 → 430,944,612 → 742,536,732 → 1,300,880,868 → 2,372,198,556 → 4,440,272,228 → 5,427,096,220 → 9,395,696,996 → 9,395,697,052 — unresolved within range

Continued fraction of √n

√1,014,000 = [1006; (1, 40, 9, 1, 5, 1, 1, 2, 1, 4, 3, 6, 1, 1, 1, 11, 3, 1, 3, 7, 1, 79, 1, 2, …)]

Representations

In words: one million fourteen thousand
Ordinal: 1014000th
Binary: 11110111100011110000
Octal: 3674360
Hexadecimal: 0xF78F0
Base64: D3jw
One's complement: 4,293,953,295 (32-bit)
Scientific notation: 1.014 × 10⁶
As a duration: 1,014,000 s = 11 days, 17 hours, 40 minutes

In other bases

ternary (3) 1220111221120

quaternary (4) 3313203300

quinary (5) 224422000

senary (6) 33422240

septenary (7) 11422161

nonary (9) 1814846

undecimal (11) 632919

duodecimal (12) 40a980

tridecimal (13) 296700

tetradecimal (14) 1c5768

pentadecimal (15) 1506a0

As an angle

1,014,000° = 2,816 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼
Chinese: 一百零一萬四千
Chinese (financial): 壹佰零壹萬肆仟

In other modern scripts

Eastern Arabic ١٠١٤٠٠٠ Devanagari १०१४००० Bengali ১০১৪০০০ Tamil ௧௦௧௪௦௦௦ Thai ๑๐๑๔๐๐๐ Tibetan ༡༠༡༤༠༠༠ Khmer ១០១៤០០០ Lao ໑໐໑໔໐໐໐ Burmese ၁၀၁၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1014000, here are decompositions:

7 + 1013993 = 1014000
67 + 1013933 = 1014000
79 + 1013921 = 1014000
101 + 1013899 = 1014000
107 + 1013893 = 1014000
109 + 1013891 = 1014000
149 + 1013851 = 1014000
157 + 1013843 = 1014000

Showing the first eight; more decompositions exist.

Hex color

#0F78F0

RGB(15, 120, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.120.240.

Address: 0.15.120.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.120.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 4000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

4000-10-01 (MMDYYYY (US, single-digit day))
4000-01-10 (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 1,014,000 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 US1,014,000 on Google Patents ↗ Look up on USPTO ↗