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1,056,000

1,056,000 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.).

1,056,000 (one million fifty-six thousand) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁸ × 3 × 5³ × 11. Its proper divisors sum to 2,770,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101D00.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
6,501
Square (n²)
1,115,136,000,000
Cube (n³)
1,177,583,616,000,000,000
Divisor count
144
σ(n) — sum of divisors
3,826,368
φ(n) — Euler's totient
256,000
Sum of prime factors
45

Primality

Prime factorization: 2 8 × 3 × 5 3 × 11

Nearest primes: 1,055,981 (−19) · 1,056,007 (+7)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 25 · 30 · 32 · 33 · 40 · 44 · 48 · 50 · 55 · 60 · 64 · 66 · 75 · 80 · 88 · 96 · 100 · 110 · 120 · 125 · 128 · 132 · 150 · 160 · 165 · 176 · 192 · 200 · 220 · 240 · 250 · 256 · 264 · 275 · 300 · 320 · 330 · 352 · 375 · 384 · 400 · 440 · 480 · 500 · 528 · 550 · 600 · 640 · 660 · 704 · 750 · 768 · 800 · 825 · 880 · 960 · 1000 · 1056 · 1100 · 1200 · 1280 · 1320 · 1375 · 1408 · 1500 · 1600 · 1650 · 1760 · 1920 · 2000 · 2112 · 2200 · 2400 · 2640 · 2750 · 2816 · 3000 · 3200 · 3300 · 3520 · 3840 · 4000 · 4125 · 4224 · 4400 · 4800 · 5280 · 5500 · 6000 · 6400 · 6600 · 7040 · 8000 · 8250 · 8448 · 8800 · 9600 · 10560 · 11000 · 12000 · 13200 · 14080 · 16000 · 16500 · 17600 · 19200 · 21120 · 22000 · 24000 · 26400 · 32000 · 33000 · 35200 · 42240 · 44000 · 48000 · 52800 · 66000 · 70400 · 88000 · 96000 · 105600 · 132000 · 176000 · 211200 · 264000 · 352000 · 528000 (half) · 1056000
Aliquot sum (sum of proper divisors): 2,770,368
Factor pairs (a × b = 1,056,000)
1 × 1056000
2 × 528000
3 × 352000
4 × 264000
5 × 211200
6 × 176000
8 × 132000
10 × 105600
11 × 96000
12 × 88000
15 × 70400
16 × 66000
20 × 52800
22 × 48000
24 × 44000
25 × 42240
30 × 35200
32 × 33000
33 × 32000
40 × 26400
44 × 24000
48 × 22000
50 × 21120
55 × 19200
60 × 17600
64 × 16500
66 × 16000
75 × 14080
80 × 13200
88 × 12000
96 × 11000
100 × 10560
110 × 9600
120 × 8800
125 × 8448
128 × 8250
132 × 8000
150 × 7040
160 × 6600
165 × 6400
176 × 6000
192 × 5500
200 × 5280
220 × 4800
240 × 4400
250 × 4224
256 × 4125
264 × 4000
275 × 3840
300 × 3520
320 × 3300
330 × 3200
352 × 3000
375 × 2816
384 × 2750
400 × 2640
440 × 2400
480 × 2200
500 × 2112
528 × 2000
550 × 1920
600 × 1760
640 × 1650
660 × 1600
704 × 1500
750 × 1408
768 × 1375
800 × 1320
825 × 1280
880 × 1200
960 × 1100
1000 × 1056
First multiples
1,056,000 · 2,112,000 (double) · 3,168,000 · 4,224,000 · 5,280,000 · 6,336,000 · 7,392,000 · 8,448,000 · 9,504,000 · 10,560,000

Sums & aliquot sequence

As consecutive integers: 351,999 + 352,000 + 352,001 211,198 + 211,199 + 211,200 + 211,201 + 211,202 95,995 + 95,996 + … + 96,005 70,393 + 70,394 + … + 70,407
Aliquot sequence: 1,056,000 → 2,770,368 → 4,739,904 → 10,337,536 → 12,179,168 → 12,029,464 → 10,525,796 → 7,894,354 → 4,927,406 → 3,222,274 → 2,091,326 → 1,045,666 → 529,838 → 264,922 → 195,878 → 105,994 → 80,054 — unresolved within range

Continued fraction of √n

√1,056,000 = [1027; (1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 12, 1, 1, 1, 2, 20, 5, 1, 2, 11, 1, 4, 4, 1, …)]

Representations

In words
one million fifty-six thousand
Ordinal
1056000th
Binary
100000001110100000000
Octal
4016400
Hexadecimal
0x101D00
Base64
EB0A
One's complement
4,293,911,295 (32-bit)
Scientific notation
1.056 × 10⁶
As a duration
1,056,000 s = 12 days, 5 hours, 20 minutes
In other bases
ternary (3) 1222122120010
quaternary (4) 10001310000
quinary (5) 232243000
senary (6) 34344520
septenary (7) 11655501
nonary (9) 1878503
undecimal (11) 661430
duodecimal (12) 42b140
tridecimal (13) 2ac86a
tetradecimal (14) 1d6ba8
pentadecimal (15) 15cd50

As an angle

1,056,000° = 2,933 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Chinese
一百零五萬六千
Chinese (financial)
壹佰零伍萬陸仟
In other modern scripts
Eastern Arabic ١٠٥٦٠٠٠ Devanagari १०५६००० Bengali ১০৫৬০০০ Tamil ௧௦௫௬௦௦௦ Thai ๑๐๕๖๐๐๐ Tibetan ༡༠༥༦༠༠༠ Khmer ១០៥៦០០០ Lao ໑໐໕໖໐໐໐ Burmese ၁၀၅၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1056000, here are decompositions:

  • 19 + 1055981 = 1056000
  • 31 + 1055969 = 1056000
  • 41 + 1055959 = 1056000
  • 53 + 1055947 = 1056000
  • 61 + 1055939 = 1056000
  • 67 + 1055933 = 1056000
  • 83 + 1055917 = 1056000
  • 89 + 1055911 = 1056000

Showing the first eight; more decompositions exist.

Hex color
#101D00
RGB(16, 29, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.29.0.

Address
0.16.29.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.29.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 6000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6000-05-01 (DMMYYYY (Euro, single-digit day))
  • 6000-10-05 (MMDYYYY (US, single-digit day))
  • 6000-05-10 (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 1,056,000 and was likely granted around 1912.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.