number.wiki
Live analysis

1,026,000

1,026,000 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.).

1,026,000 (one million twenty-six thousand) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3³ × 5³ × 19. Its proper divisors sum to 2,842,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA7D0.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
6,201
Square (n²)
1,052,676,000,000
Cube (n³)
1,080,045,576,000,000,000
Divisor count
160
σ(n) — sum of divisors
3,868,800
φ(n) — Euler's totient
259,200
Sum of prime factors
51

Primality

Prime factorization: 2 4 × 3 3 × 5 3 × 19

Nearest primes: 1,025,957 (−43) · 1,026,029 (+29)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 19 · 20 · 24 · 25 · 27 · 30 · 36 · 38 · 40 · 45 · 48 · 50 · 54 · 57 · 60 · 72 · 75 · 76 · 80 · 90 · 95 · 100 · 108 · 114 · 120 · 125 · 135 · 144 · 150 · 152 · 171 · 180 · 190 · 200 · 216 · 225 · 228 · 240 · 250 · 270 · 285 · 300 · 304 · 342 · 360 · 375 · 380 · 400 · 432 · 450 · 456 · 475 · 500 · 513 · 540 · 570 · 600 · 675 · 684 · 720 · 750 · 760 · 855 · 900 · 912 · 950 · 1000 · 1026 · 1080 · 1125 · 1140 · 1200 · 1350 · 1368 · 1425 · 1500 · 1520 · 1710 · 1800 · 1900 · 2000 · 2052 · 2160 · 2250 · 2280 · 2375 · 2565 · 2700 · 2736 · 2850 · 3000 · 3375 · 3420 · 3600 · 3800 · 4104 · 4275 · 4500 · 4560 · 4750 · 5130 · 5400 · 5700 · 6000 · 6750 · 6840 · 7125 · 7600 · 8208 · 8550 · 9000 · 9500 · 10260 · 10800 · 11400 · 12825 · 13500 · 13680 · 14250 · 17100 · 18000 · 19000 · 20520 · 21375 · 22800 · 25650 · 27000 · 28500 · 34200 · 38000 · 41040 · 42750 · 51300 · 54000 · 57000 · 64125 · 68400 · 85500 · 102600 · 114000 · 128250 · 171000 · 205200 · 256500 · 342000 · 513000 (half) · 1026000
Aliquot sum (sum of proper divisors): 2,842,800
Factor pairs (a × b = 1,026,000)
1 × 1026000
2 × 513000
3 × 342000
4 × 256500
5 × 205200
6 × 171000
8 × 128250
9 × 114000
10 × 102600
12 × 85500
15 × 68400
16 × 64125
18 × 57000
19 × 54000
20 × 51300
24 × 42750
25 × 41040
27 × 38000
30 × 34200
36 × 28500
38 × 27000
40 × 25650
45 × 22800
48 × 21375
50 × 20520
54 × 19000
57 × 18000
60 × 17100
72 × 14250
75 × 13680
76 × 13500
80 × 12825
90 × 11400
95 × 10800
100 × 10260
108 × 9500
114 × 9000
120 × 8550
125 × 8208
135 × 7600
144 × 7125
150 × 6840
152 × 6750
171 × 6000
180 × 5700
190 × 5400
200 × 5130
216 × 4750
225 × 4560
228 × 4500
240 × 4275
250 × 4104
270 × 3800
285 × 3600
300 × 3420
304 × 3375
342 × 3000
360 × 2850
375 × 2736
380 × 2700
400 × 2565
432 × 2375
450 × 2280
456 × 2250
475 × 2160
500 × 2052
513 × 2000
540 × 1900
570 × 1800
600 × 1710
675 × 1520
684 × 1500
720 × 1425
750 × 1368
760 × 1350
855 × 1200
900 × 1140
912 × 1125
950 × 1080
1000 × 1026
First multiples
1,026,000 · 2,052,000 (double) · 3,078,000 · 4,104,000 · 5,130,000 · 6,156,000 · 7,182,000 · 8,208,000 · 9,234,000 · 10,260,000

Sums & aliquot sequence

As consecutive integers: 341,999 + 342,000 + 342,001 205,198 + 205,199 + 205,200 + 205,201 + 205,202 113,996 + 113,997 + … + 114,004 68,393 + 68,394 + … + 68,407
Aliquot sequence: 1,026,000 2,842,800 6,751,824 10,690,512 20,872,944 42,218,256 67,596,144 150,128,016 246,007,344 477,160,656 931,600,368 1,677,863,320 2,719,435,880 4,273,399,960 5,435,110,280 6,795,990,160 9,214,949,360 — unresolved within range

Continued fraction of √n

√1,026,000 = [1012; (1, 10, 1, 80, 8, 1, 1, 2, 1, 80, 3, 6, 3, 80, 1, 2, 1, 1, 8, 80, 1, 10, 1, 2024)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million twenty-six thousand
Ordinal
1026000th
Binary
11111010011111010000
Octal
3723720
Hexadecimal
0xFA7D0
Base64
D6fQ
One's complement
4,293,941,295 (32-bit)
Scientific notation
1.026 × 10⁶
As a duration
1,026,000 s = 11 days, 21 hours
In other bases
ternary (3) 1221010102000
quaternary (4) 3322133100
quinary (5) 230313000
senary (6) 33554000
septenary (7) 11502153
nonary (9) 1833360
undecimal (11) 640938
duodecimal (12) 415900
tridecimal (13) 29c001
tetradecimal (14) 1c9c9a
pentadecimal (15) 154000

As an angle

1,026,000° = 2,850 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Chinese
一百零二萬六千
Chinese (financial)
壹佰零貳萬陸仟
In other modern scripts
Eastern Arabic ١٠٢٦٠٠٠ Devanagari १०२६००० Bengali ১০২৬০০০ Tamil ௧௦௨௬௦௦௦ Thai ๑๐๒๖๐๐๐ Tibetan ༡༠༢༦༠༠༠ Khmer ១០២៦០០០ Lao ໑໐໒໖໐໐໐ Burmese ၁၀၂၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1026000, here are decompositions:

  • 43 + 1025957 = 1026000
  • 61 + 1025939 = 1026000
  • 71 + 1025929 = 1026000
  • 83 + 1025917 = 1026000
  • 89 + 1025911 = 1026000
  • 103 + 1025897 = 1026000
  • 109 + 1025891 = 1026000
  • 113 + 1025887 = 1026000

Showing the first eight; more decompositions exist.

Hex color
#0FA7D0
RGB(15, 167, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.167.208.

Address
0.15.167.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.167.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 2, 6000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 6000-02-01 (DMMYYYY (Euro, single-digit day))
  • 6000-10-02 (MMDYYYY (US, single-digit day))
  • 6000-02-10 (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 1,026,000 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°.