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189,840

189,840 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.).

189,840 (one hundred eighty-nine thousand eight hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 113. Its proper divisors sum to 488,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E590.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
48,981
Recamán's sequence
a(167,148) = 189,840
Square (n²)
36,039,225,600
Cube (n³)
6,841,686,587,904,000
Divisor count
80
σ(n) — sum of divisors
678,528
φ(n) — Euler's totient
43,008
Sum of prime factors
136

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 113

Nearest primes: 189,823 (−17) · 189,851 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 84 · 105 · 112 · 113 · 120 · 140 · 168 · 210 · 226 · 240 · 280 · 336 · 339 · 420 · 452 · 560 · 565 · 678 · 791 · 840 · 904 · 1130 · 1356 · 1582 · 1680 · 1695 · 1808 · 2260 · 2373 · 2712 · 3164 · 3390 · 3955 · 4520 · 4746 · 5424 · 6328 · 6780 · 7910 · 9040 · 9492 · 11865 · 12656 · 13560 · 15820 · 18984 · 23730 · 27120 · 31640 · 37968 · 47460 · 63280 · 94920 (half) · 189840
Aliquot sum (sum of proper divisors): 488,688
Factor pairs (a × b = 189,840)
1 × 189840
2 × 94920
3 × 63280
4 × 47460
5 × 37968
6 × 31640
7 × 27120
8 × 23730
10 × 18984
12 × 15820
14 × 13560
15 × 12656
16 × 11865
20 × 9492
21 × 9040
24 × 7910
28 × 6780
30 × 6328
35 × 5424
40 × 4746
42 × 4520
48 × 3955
56 × 3390
60 × 3164
70 × 2712
80 × 2373
84 × 2260
105 × 1808
112 × 1695
113 × 1680
120 × 1582
140 × 1356
168 × 1130
210 × 904
226 × 840
240 × 791
280 × 678
336 × 565
339 × 560
420 × 452
First multiples
189,840 · 379,680 (double) · 569,520 · 759,360 · 949,200 · 1,139,040 · 1,328,880 · 1,518,720 · 1,708,560 · 1,898,400

Sums & aliquot sequence

As consecutive integers: 63,279 + 63,280 + 63,281 37,966 + 37,967 + 37,968 + 37,969 + 37,970 27,117 + 27,118 + … + 27,123 12,649 + 12,650 + … + 12,663
Aliquot sequence: 189,840 → 488,688 → 773,880 → 1,548,120 → 4,096,680 → 9,951,960 → 20,115,240 → 40,230,840 → 104,558,280 → 210,404,280 → 450,037,320 → 1,008,861,240 → 2,263,394,760 → 5,534,032,440 → 12,342,991,560 — keeps growing

Continued fraction of √n

√189,840 = [435; (1, 2, 2, 2, 7, 2, 3, 1, 1, 2, 2, 4, 1, 2, 1, 4, 2, 2, 1, 1, 3, 2, 7, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-nine thousand eight hundred forty
Ordinal
189840th
Binary
101110010110010000
Octal
562620
Hexadecimal
0x2E590
Base64
AuWQ
One's complement
4,294,777,455 (32-bit)
Scientific notation
1.8984 × 10⁵
As a duration
189,840 s = 2 days, 4 hours, 44 minutes
In other bases
ternary (3) 100122102010
quaternary (4) 232112100
quinary (5) 22033330
senary (6) 4022520
septenary (7) 1420320
nonary (9) 318363
undecimal (11) 11a6a2
duodecimal (12) 91a40
tridecimal (13) 68541
tetradecimal (14) 4d280
pentadecimal (15) 3b3b0

As an angle

189,840° = 527 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρπθωμʹ
Chinese
十八萬九千八百四十
Chinese (financial)
壹拾捌萬玖仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٨٩٨٤٠ Devanagari १८९८४० Bengali ১৮৯৮৪০ Tamil ௧௮௯௮௪௦ Thai ๑๘๙๘๔๐ Tibetan ༡༨༩༨༤༠ Khmer ១៨៩៨៤០ Lao ໑໘໙໘໔໐ Burmese ၁၈၉၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 189840, here are decompositions:

  • 17 + 189823 = 189840
  • 23 + 189817 = 189840
  • 41 + 189799 = 189840
  • 43 + 189797 = 189840
  • 73 + 189767 = 189840
  • 83 + 189757 = 189840
  • 97 + 189743 = 189840
  • 107 + 189733 = 189840

Showing the first eight; more decompositions exist.

Unicode codepoint
𮖐
CJK Unified Ideograph-2E590
U+2E590
Other letter (Lo)

UTF-8 encoding: F0 AE 96 90 (4 bytes).

Hex color
#02E590
RGB(2, 229, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.229.144.

Address
0.2.229.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.229.144

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 189,840 and was likely granted around 1875.

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°.