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159,840

159,840 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.).

159,840 (one hundred fifty-nine thousand eight hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 5 × 37. Its proper divisors sum to 414,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27060.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
48,951
Square (n²)
25,548,825,600
Cube (n³)
4,083,724,283,904,000
Divisor count
96
σ(n) — sum of divisors
574,560
φ(n) — Euler's totient
41,472
Sum of prime factors
61

Primality

Prime factorization: 2 5 × 3 3 × 5 × 37

Nearest primes: 159,839 (−1) · 159,853 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 37 · 40 · 45 · 48 · 54 · 60 · 72 · 74 · 80 · 90 · 96 · 108 · 111 · 120 · 135 · 144 · 148 · 160 · 180 · 185 · 216 · 222 · 240 · 270 · 288 · 296 · 333 · 360 · 370 · 432 · 444 · 480 · 540 · 555 · 592 · 666 · 720 · 740 · 864 · 888 · 999 · 1080 · 1110 · 1184 · 1332 · 1440 · 1480 · 1665 · 1776 · 1998 · 2160 · 2220 · 2664 · 2960 · 3330 · 3552 · 3996 · 4320 · 4440 · 4995 · 5328 · 5920 · 6660 · 7992 · 8880 · 9990 · 10656 · 13320 · 15984 · 17760 · 19980 · 26640 · 31968 · 39960 · 53280 · 79920 (half) · 159840
Aliquot sum (sum of proper divisors): 414,720
Factor pairs (a × b = 159,840)
1 × 159840
2 × 79920
3 × 53280
4 × 39960
5 × 31968
6 × 26640
8 × 19980
9 × 17760
10 × 15984
12 × 13320
15 × 10656
16 × 9990
18 × 8880
20 × 7992
24 × 6660
27 × 5920
30 × 5328
32 × 4995
36 × 4440
37 × 4320
40 × 3996
45 × 3552
48 × 3330
54 × 2960
60 × 2664
72 × 2220
74 × 2160
80 × 1998
90 × 1776
96 × 1665
108 × 1480
111 × 1440
120 × 1332
135 × 1184
144 × 1110
148 × 1080
160 × 999
180 × 888
185 × 864
216 × 740
222 × 720
240 × 666
270 × 592
288 × 555
296 × 540
333 × 480
360 × 444
370 × 432
First multiples
159,840 · 319,680 (double) · 479,520 · 639,360 · 799,200 · 959,040 · 1,118,880 · 1,278,720 · 1,438,560 · 1,598,400

Sums & aliquot sequence

As consecutive integers: 53,279 + 53,280 + 53,281 31,966 + 31,967 + 31,968 + 31,969 + 31,970 17,756 + 17,757 + … + 17,764 10,649 + 10,650 + … + 10,663
Aliquot sequence: 159,840 414,720 1,071,402 1,071,414 1,309,626 1,620,678 1,811,562 1,811,574 2,320,866 2,836,734 2,917,506 3,260,958 3,458,874 3,823,206 3,823,218 6,148,302 6,179,250 — unresolved within range

Continued fraction of √n

√159,840 = [399; (1, 3, 1, 798)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred fifty-nine thousand eight hundred forty
Ordinal
159840th
Binary
100111000001100000
Octal
470140
Hexadecimal
0x27060
Base64
AnBg
One's complement
4,294,807,455 (32-bit)
Scientific notation
1.5984 × 10⁵
As a duration
159,840 s = 1 day, 20 hours, 24 minutes
In other bases
ternary (3) 22010021000
quaternary (4) 213001200
quinary (5) 20103330
senary (6) 3232000
septenary (7) 1234002
nonary (9) 263230
undecimal (11) aa0aa
duodecimal (12) 78600
tridecimal (13) 579a5
tetradecimal (14) 42372
pentadecimal (15) 32560
Palindromic in base 11

As an angle

159,840° = 444 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρνθωμʹ
Mayan (base 20)
𝋳·𝋳·𝋬·𝋠
Chinese
一十五萬九千八百四十
Chinese (financial)
壹拾伍萬玖仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٥٩٨٤٠ Devanagari १५९८४० Bengali ১৫৯৮৪০ Tamil ௧௫௯௮௪௦ Thai ๑๕๙๘๔๐ Tibetan ༡༥༩༨༤༠ Khmer ១៥៩៨៤០ Lao ໑໕໙໘໔໐ Burmese ၁၅၉၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 159840, here are decompositions:

  • 7 + 159833 = 159840
  • 29 + 159811 = 159840
  • 41 + 159799 = 159840
  • 47 + 159793 = 159840
  • 53 + 159787 = 159840
  • 61 + 159779 = 159840
  • 67 + 159773 = 159840
  • 71 + 159769 = 159840

Showing the first eight; more decompositions exist.

Unicode codepoint
𧁠
CJK Unified Ideograph-27060
U+27060
Other letter (Lo)

UTF-8 encoding: F0 A7 81 A0 (4 bytes).

Hex color
#027060
RGB(2, 112, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.112.96.

Address
0.2.112.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.112.96

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 159,840 and was likely granted around 1873.

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

Position in π

The digit sequence 159840 first appears in π at position 500,794 of the decimal expansion (the 500,794ordinal-suffix:th 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°.