Live analysis

1,064,000

1,064,000 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.).

1,064,000 (one million sixty-four thousand) is an even 7-digit number. It is a composite number with 112 divisors, and factors as 2⁶ × 5³ × 7 × 19. Its proper divisors sum to 2,105,920, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103C40.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,063,988 1,063,989 1,063,990 1,063,991 1,063,992 1,063,993 1,063,994 1,063,995 1,063,996 1,063,997 1,063,998 1,063,999 1,064,000 1,064,001 1,064,002 1,064,003 1,064,004 1,064,005 1,064,006 1,064,007 1,064,008 1,064,009 1,064,010 1,064,011 1,064,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 21 bits
Reversed: 4,601
Square (n²): 1,132,096,000,000
Cube (n³): 1,204,550,144,000,000,000
Divisor count: 112
σ(n) — sum of divisors: 3,169,920
φ(n) — Euler's totient: 345,600
Sum of prime factors: 53

Primality

Prime factorization: 2 ⁶ × 5 ³ × 7 × 19

Nearest primes: 1,063,999 (−1) · 1,064,017 (+17)

Divisors & multiples

All divisors (112)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 19 · 20 · 25 · 28 · 32 · 35 · 38 · 40 · 50 · 56 · 64 · 70 · 76 · 80 · 95 · 100 · 112 · 125 · 133 · 140 · 152 · 160 · 175 · 190 · 200 · 224 · 250 · 266 · 280 · 304 · 320 · 350 · 380 · 400 · 448 · 475 · 500 · 532 · 560 · 608 · 665 · 700 · 760 · 800 · 875 · 950 · 1000 · 1064 · 1120 · 1216 · 1330 · 1400 · 1520 · 1600 · 1750 · 1900 · 2000 · 2128 · 2240 · 2375 · 2660 · 2800 · 3040 · 3325 · 3500 · 3800 · 4000 · 4256 · 4750 · 5320 · 5600 · 6080 · 6650 · 7000 · 7600 · 8000 · 8512 · 9500 · 10640 · 11200 · 13300 · 14000 · 15200 · 16625 · 19000 · 21280 · 26600 · 28000 · 30400 · 33250 · 38000 · 42560 · 53200 · 56000 · 66500 · 76000 · 106400 · 133000 · 152000 · 212800 · 266000 · 532000 (half) · 1064000

Aliquot sum (sum of proper divisors): 2,105,920

Factor pairs (a × b = 1,064,000)

1 × 1064000

2 × 532000

4 × 266000

5 × 212800

7 × 152000

8 × 133000

10 × 106400

14 × 76000

16 × 66500

19 × 56000

20 × 53200

25 × 42560

28 × 38000

32 × 33250

35 × 30400

38 × 28000

40 × 26600

50 × 21280

56 × 19000

64 × 16625

70 × 15200

76 × 14000

80 × 13300

95 × 11200

100 × 10640

112 × 9500

125 × 8512

133 × 8000

140 × 7600

152 × 7000

160 × 6650

175 × 6080

190 × 5600

200 × 5320

224 × 4750

250 × 4256

266 × 4000

280 × 3800

304 × 3500

320 × 3325

350 × 3040

380 × 2800

400 × 2660

448 × 2375

475 × 2240

500 × 2128

532 × 2000

560 × 1900

608 × 1750

665 × 1600

700 × 1520

760 × 1400

800 × 1330

875 × 1216

950 × 1120

1000 × 1064

First multiples

1,064,000 · 2,128,000 (double) · 3,192,000 · 4,256,000 · 5,320,000 · 6,384,000 · 7,448,000 · 8,512,000 · 9,576,000 · 10,640,000

Sums & aliquot sequence

As a sum of two cubes: 40³ + 100³

As consecutive integers: 212,798 + 212,799 + 212,800 + 212,801 + 212,802 151,997 + 151,998 + … + 152,003 55,991 + 55,992 + … + 56,009 42,548 + 42,549 + … + 42,572

Aliquot sequence: 1,064,000 → 2,105,920 → 2,909,564 → 2,909,620 → 4,200,560 → 7,840,336 → 9,520,656 → 15,074,496 → 28,135,476 → 49,649,868 → 79,626,132 → 126,812,268 → 224,165,268 → 398,274,732 → 733,588,308 → 1,120,760,006 → 560,380,006 — unresolved within range

Continued fraction of √n

√1,064,000 = [1031; (1, 1, 66, 20, 1, 1, 1, 1, 2, 16, 1, 1, 1, 81, 1, 6, 6, 1, 1, 1, 4, 20, 2, 2, …)]

Representations

In words: one million sixty-four thousand
Ordinal: 1064000th
Binary: 100000011110001000000
Octal: 4036100
Hexadecimal: 0x103C40
Base64: EDxA
One's complement: 4,293,903,295 (32-bit)
Scientific notation: 1.064 × 10⁶
As a duration: 1,064,000 s = 12 days, 7 hours, 33 minutes, 20 seconds

In other bases

ternary (3) 2000001112102

quaternary (4) 10003301000

quinary (5) 233022000

senary (6) 34445532

septenary (7) 12021020

nonary (9) 2001472

undecimal (11) 667443

duodecimal (12) 4338a8

tridecimal (13) 2b33b2

tetradecimal (14) 1d9a80

pentadecimal (15) 1603d5

Palindromic in base 13

As an angle

1,064,000° = 2,955 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼
Chinese: 一百零六萬四千
Chinese (financial): 壹佰零陸萬肆仟

In other modern scripts

Eastern Arabic ١٠٦٤٠٠٠ Devanagari १०६४००० Bengali ১০৬৪০০০ Tamil ௧௦௬௪௦௦௦ Thai ๑๐๖๔๐๐๐ Tibetan ༡༠༦༤༠༠༠ Khmer ១០៦៤០០០ Lao ໑໐໖໔໐໐໐ Burmese ၁၀၆၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064000, here are decompositions:

13 + 1063987 = 1064000
31 + 1063969 = 1064000
37 + 1063963 = 1064000
73 + 1063927 = 1064000
79 + 1063921 = 1064000
97 + 1063903 = 1064000
103 + 1063897 = 1064000
109 + 1063891 = 1064000

Showing the first eight; more decompositions exist.

Hex color

#103C40

RGB(16, 60, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.60.64.

Address: 0.16.60.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.60.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 6, 4000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

4000-06-01 (DMMYYYY (Euro, single-digit day))
4000-10-06 (MMDYYYY (US, single-digit day))
4000-06-10 (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 1,064,000 and was likely granted around 1913.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,064,000 on Google Patents ↗ Look up on USPTO ↗