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1,029,000

1,029,000 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.).

1,029,000 (one million twenty-nine thousand) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5³ × 7³. Its proper divisors sum to 2,715,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB388.

Abundant Number Arithmetic Number Gapful Number Happy 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
20 bits
Reversed
9,201
Square (n²)
1,058,841,000,000
Cube (n³)
1,089,547,389,000,000,000
Divisor count
128
σ(n) — sum of divisors
3,744,000
φ(n) — Euler's totient
235,200
Sum of prime factors
45

Primality

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

Nearest primes: 1,028,999 (−1) · 1,029,001 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 49 · 50 · 56 · 60 · 70 · 75 · 84 · 98 · 100 · 105 · 120 · 125 · 140 · 147 · 150 · 168 · 175 · 196 · 200 · 210 · 245 · 250 · 280 · 294 · 300 · 343 · 350 · 375 · 392 · 420 · 490 · 500 · 525 · 588 · 600 · 686 · 700 · 735 · 750 · 840 · 875 · 980 · 1000 · 1029 · 1050 · 1176 · 1225 · 1372 · 1400 · 1470 · 1500 · 1715 · 1750 · 1960 · 2058 · 2100 · 2450 · 2625 · 2744 · 2940 · 3000 · 3430 · 3500 · 3675 · 4116 · 4200 · 4900 · 5145 · 5250 · 5880 · 6125 · 6860 · 7000 · 7350 · 8232 · 8575 · 9800 · 10290 · 10500 · 12250 · 13720 · 14700 · 17150 · 18375 · 20580 · 21000 · 24500 · 25725 · 29400 · 34300 · 36750 · 41160 · 42875 · 49000 · 51450 · 68600 · 73500 · 85750 · 102900 · 128625 · 147000 · 171500 · 205800 · 257250 · 343000 · 514500 (half) · 1029000
Aliquot sum (sum of proper divisors): 2,715,000
Factor pairs (a × b = 1,029,000)
1 × 1029000
2 × 514500
3 × 343000
4 × 257250
5 × 205800
6 × 171500
7 × 147000
8 × 128625
10 × 102900
12 × 85750
14 × 73500
15 × 68600
20 × 51450
21 × 49000
24 × 42875
25 × 41160
28 × 36750
30 × 34300
35 × 29400
40 × 25725
42 × 24500
49 × 21000
50 × 20580
56 × 18375
60 × 17150
70 × 14700
75 × 13720
84 × 12250
98 × 10500
100 × 10290
105 × 9800
120 × 8575
125 × 8232
140 × 7350
147 × 7000
150 × 6860
168 × 6125
175 × 5880
196 × 5250
200 × 5145
210 × 4900
245 × 4200
250 × 4116
280 × 3675
294 × 3500
300 × 3430
343 × 3000
350 × 2940
375 × 2744
392 × 2625
420 × 2450
490 × 2100
500 × 2058
525 × 1960
588 × 1750
600 × 1715
686 × 1500
700 × 1470
735 × 1400
750 × 1372
840 × 1225
875 × 1176
980 × 1050
1000 × 1029
First multiples
1,029,000 · 2,058,000 (double) · 3,087,000 · 4,116,000 · 5,145,000 · 6,174,000 · 7,203,000 · 8,232,000 · 9,261,000 · 10,290,000

Sums & aliquot sequence

As consecutive integers: 342,999 + 343,000 + 343,001 205,798 + 205,799 + 205,800 + 205,801 + 205,802 146,997 + 146,998 + … + 147,003 68,593 + 68,594 + … + 68,607
Aliquot sequence: 1,029,000 2,715,000 5,813,520 12,209,136 20,705,424 32,783,712 61,131,648 102,064,272 161,601,888 323,205,792 721,025,760 2,241,816,864 4,597,745,376 9,671,180,064 21,574,199,136 — keeps growing

Continued fraction of √n

√1,029,000 = [1014; (2, 1, 1, 10, 2, 2, 1, 7, 2, 3, 2, 1, 2, 1, 3, 1, 1, 40, 1, 5, 2, 3, 1, 80, …)]

Representations

In words
one million twenty-nine thousand
Ordinal
1029000th
Binary
11111011001110001000
Octal
3731610
Hexadecimal
0xFB388
Base64
D7OI
One's complement
4,293,938,295 (32-bit)
Scientific notation
1.029 × 10⁶
As a duration
1,029,000 s = 11 days, 21 hours, 50 minutes
In other bases
ternary (3) 1221021112010
quaternary (4) 3323032020
quinary (5) 230412000
senary (6) 34015520
septenary (7) 11514000
nonary (9) 1837463
undecimal (11) 643115
duodecimal (12) 4175a0
tridecimal (13) 2a049b
tetradecimal (14) 1cb000
pentadecimal (15) 154d50

As an angle

1,029,000° = 2,858 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese
一百零二萬九千
Chinese (financial)
壹佰零貳萬玖仟
In other modern scripts
Eastern Arabic ١٠٢٩٠٠٠ Devanagari १०२९००० Bengali ১০২৯০০০ Tamil ௧௦௨௯௦௦௦ Thai ๑๐๒๙๐๐๐ Tibetan ༡༠༢༩༠༠༠ Khmer ១០២៩០០០ Lao ໑໐໒໙໐໐໐ Burmese ၁၀၂၉၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1029000, here are decompositions:

  • 19 + 1028981 = 1029000
  • 31 + 1028969 = 1029000
  • 43 + 1028957 = 1029000
  • 47 + 1028953 = 1029000
  • 59 + 1028941 = 1029000
  • 61 + 1028939 = 1029000
  • 97 + 1028903 = 1029000
  • 107 + 1028893 = 1029000

Showing the first eight; more decompositions exist.

Hex color
#0FB388
RGB(15, 179, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.179.136.

Address
0.15.179.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.179.136

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 9000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9000-02-01 (DMMYYYY (Euro, single-digit day))
  • 9000-10-02 (MMDYYYY (US, single-digit day))
  • 9000-02-10 (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 1,029,000 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°.