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189,000

189,000 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.).

189,000 (one hundred eighty-nine thousand) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5³ × 7. Its proper divisors sum to 559,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E248.

Abundant Number Arithmetic Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
981
Flips to (rotate 180°)
681
Recamán's sequence
a(74,072) = 189,000
Square (n²)
35,721,000,000
Cube (n³)
6,751,269,000,000,000
Divisor count
128
σ(n) — sum of divisors
748,800
φ(n) — Euler's totient
43,200
Sum of prime factors
37

Primality

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

Nearest primes: 188,999 (−1) · 189,011 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 25 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 50 · 54 · 56 · 60 · 63 · 70 · 72 · 75 · 84 · 90 · 100 · 105 · 108 · 120 · 125 · 126 · 135 · 140 · 150 · 168 · 175 · 180 · 189 · 200 · 210 · 216 · 225 · 250 · 252 · 270 · 280 · 300 · 315 · 350 · 360 · 375 · 378 · 420 · 450 · 500 · 504 · 525 · 540 · 600 · 630 · 675 · 700 · 750 · 756 · 840 · 875 · 900 · 945 · 1000 · 1050 · 1080 · 1125 · 1260 · 1350 · 1400 · 1500 · 1512 · 1575 · 1750 · 1800 · 1890 · 2100 · 2250 · 2520 · 2625 · 2700 · 3000 · 3150 · 3375 · 3500 · 3780 · 4200 · 4500 · 4725 · 5250 · 5400 · 6300 · 6750 · 7000 · 7560 · 7875 · 9000 · 9450 · 10500 · 12600 · 13500 · 15750 · 18900 · 21000 · 23625 · 27000 · 31500 · 37800 · 47250 · 63000 · 94500 (half) · 189000
Aliquot sum (sum of proper divisors): 559,800
Factor pairs (a × b = 189,000)
1 × 189000
2 × 94500
3 × 63000
4 × 47250
5 × 37800
6 × 31500
7 × 27000
8 × 23625
9 × 21000
10 × 18900
12 × 15750
14 × 13500
15 × 12600
18 × 10500
20 × 9450
21 × 9000
24 × 7875
25 × 7560
27 × 7000
28 × 6750
30 × 6300
35 × 5400
36 × 5250
40 × 4725
42 × 4500
45 × 4200
50 × 3780
54 × 3500
56 × 3375
60 × 3150
63 × 3000
70 × 2700
72 × 2625
75 × 2520
84 × 2250
90 × 2100
100 × 1890
105 × 1800
108 × 1750
120 × 1575
125 × 1512
126 × 1500
135 × 1400
140 × 1350
150 × 1260
168 × 1125
175 × 1080
180 × 1050
189 × 1000
200 × 945
210 × 900
216 × 875
225 × 840
250 × 756
252 × 750
270 × 700
280 × 675
300 × 630
315 × 600
350 × 540
360 × 525
375 × 504
378 × 500
420 × 450
First multiples
189,000 · 378,000 (double) · 567,000 · 756,000 · 945,000 · 1,134,000 · 1,323,000 · 1,512,000 · 1,701,000 · 1,890,000

Sums & aliquot sequence

As a sum of two cubes: 40³ + 50³
As consecutive integers: 62,999 + 63,000 + 63,001 37,798 + 37,799 + 37,800 + 37,801 + 37,802 26,997 + 26,998 + … + 27,003 20,996 + 20,997 + … + 21,004
Aliquot sequence: 189,000 → 559,800 → 1,326,240 → 3,330,720 → 8,469,684 → 13,672,590 → 23,462,130 → 32,847,054 → 32,963,586 → 32,963,598 → 42,026,394 → 49,782,246 → 49,859,418 → 64,819,878 → 74,785,242 → 96,152,550 → 162,127,794 — unresolved within range

Continued fraction of √n

√189,000 = [434; (1, 2, 1, 6, 2, 3, 2, 1, 1, 34, 5, 3, 1, 1, 1, 95, 1, 33, 1, 3, 1, 3, 15, 3, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-nine thousand
Ordinal
189000th
Binary
101110001001001000
Octal
561110
Hexadecimal
0x2E248
Base64
AuJI
One's complement
4,294,778,295 (32-bit)
Scientific notation
1.89 × 10⁵
As a duration
189,000 s = 2 days, 4 hours, 30 minutes
In other bases
ternary (3) 100121021000
quaternary (4) 232021020
quinary (5) 22022000
senary (6) 4015000
septenary (7) 1415010
nonary (9) 317230
undecimal (11) 119aa9
duodecimal (12) 91460
tridecimal (13) 68046
tetradecimal (14) 4cc40
pentadecimal (15) 3b000

As an angle

189,000° = 525 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ρπθ
Chinese
十八萬九千
Chinese (financial)
壹拾捌萬玖仟
In other modern scripts
Eastern Arabic ١٨٩٠٠٠ Devanagari १८९००० Bengali ১৮৯০০০ Tamil ௧௮௯௦௦௦ Thai ๑๘๙๐๐๐ Tibetan ༡༨༩༠༠༠ Khmer ១៨៩០០០ Lao ໑໘໙໐໐໐ Burmese ၁၈၉၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 189000, here are decompositions:

  • 17 + 188983 = 189000
  • 43 + 188957 = 189000
  • 47 + 188953 = 189000
  • 59 + 188941 = 189000
  • 61 + 188939 = 189000
  • 67 + 188933 = 189000
  • 73 + 188927 = 189000
  • 89 + 188911 = 189000

Showing the first eight; more decompositions exist.

Unicode codepoint
𮉈
CJK Unified Ideograph-2E248
U+2E248
Other letter (Lo)

UTF-8 encoding: F0 AE 89 88 (4 bytes).

Hex color
#02E248
RGB(2, 226, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.226.72.

Address
0.2.226.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.226.72

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

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 189,000 and was likely granted around 1875.

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

Position in π

The digit sequence 189000 first appears in π at position 733,361 of the decimal expansion (the 733,361ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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