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136,080

136,080 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.).

136,080 (one hundred thirty-six thousand eighty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3⁵ × 5 × 7. Its proper divisors sum to 405,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21390.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number 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
80,631
Square (n²)
18,517,766,400
Cube (n³)
2,519,897,651,712,000
Divisor count
120
σ(n) — sum of divisors
541,632
φ(n) — Euler's totient
31,104
Sum of prime factors
35

Primality

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

Nearest primes: 136,069 (−11) · 136,093 (+13)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 48 · 54 · 56 · 60 · 63 · 70 · 72 · 80 · 81 · 84 · 90 · 105 · 108 · 112 · 120 · 126 · 135 · 140 · 144 · 162 · 168 · 180 · 189 · 210 · 216 · 240 · 243 · 252 · 270 · 280 · 315 · 324 · 336 · 360 · 378 · 405 · 420 · 432 · 486 · 504 · 540 · 560 · 567 · 630 · 648 · 720 · 756 · 810 · 840 · 945 · 972 · 1008 · 1080 · 1134 · 1215 · 1260 · 1296 · 1512 · 1620 · 1680 · 1701 · 1890 · 1944 · 2160 · 2268 · 2430 · 2520 · 2835 · 3024 · 3240 · 3402 · 3780 · 3888 · 4536 · 4860 · 5040 · 5670 · 6480 · 6804 · 7560 · 8505 · 9072 · 9720 · 11340 · 13608 · 15120 · 17010 · 19440 · 22680 · 27216 · 34020 · 45360 · 68040 (half) · 136080
Aliquot sum (sum of proper divisors): 405,552
Factor pairs (a × b = 136,080)
1 × 136080
2 × 68040
3 × 45360
4 × 34020
5 × 27216
6 × 22680
7 × 19440
8 × 17010
9 × 15120
10 × 13608
12 × 11340
14 × 9720
15 × 9072
16 × 8505
18 × 7560
20 × 6804
21 × 6480
24 × 5670
27 × 5040
28 × 4860
30 × 4536
35 × 3888
36 × 3780
40 × 3402
42 × 3240
45 × 3024
48 × 2835
54 × 2520
56 × 2430
60 × 2268
63 × 2160
70 × 1944
72 × 1890
80 × 1701
81 × 1680
84 × 1620
90 × 1512
105 × 1296
108 × 1260
112 × 1215
120 × 1134
126 × 1080
135 × 1008
140 × 972
144 × 945
162 × 840
168 × 810
180 × 756
189 × 720
210 × 648
216 × 630
240 × 567
243 × 560
252 × 540
270 × 504
280 × 486
315 × 432
324 × 420
336 × 405
360 × 378
First multiples
136,080 · 272,160 (double) · 408,240 · 544,320 · 680,400 · 816,480 · 952,560 · 1,088,640 · 1,224,720 · 1,360,800

Sums & aliquot sequence

As consecutive integers: 45,359 + 45,360 + 45,361 27,214 + 27,215 + 27,216 + 27,217 + 27,218 19,437 + 19,438 + … + 19,443 15,116 + 15,117 + … + 15,124
Aliquot sequence: 136,080 405,552 880,080 2,006,640 4,912,560 11,587,872 20,436,288 34,049,760 73,208,496 121,029,568 140,973,464 138,578,536 122,760,764 122,760,820 203,282,828 205,422,196 219,590,924 — unresolved within range

Continued fraction of √n

√136,080 = [368; (1, 8, 9, 8, 1, 736)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand eighty
Ordinal
136080th
Binary
100001001110010000
Octal
411620
Hexadecimal
0x21390
Base64
AhOQ
One's complement
4,294,831,215 (32-bit)
Scientific notation
1.3608 × 10⁵
As a duration
136,080 s = 1 day, 13 hours, 48 minutes
In other bases
ternary (3) 20220200000
quaternary (4) 201032100
quinary (5) 13323310
senary (6) 2530000
septenary (7) 1104510
nonary (9) 226600
undecimal (11) 9326a
duodecimal (12) 66900
tridecimal (13) 49c29
tetradecimal (14) 37840
pentadecimal (15) 2a4c0

As an angle

136,080° = 378 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛπʹ
Mayan (base 20)
𝋱·𝋠·𝋤·𝋠
Chinese
一十三萬六千零八十
Chinese (financial)
壹拾參萬陸仟零捌拾
In other modern scripts
Eastern Arabic ١٣٦٠٨٠ Devanagari १३६०८० Bengali ১৩৬০৮০ Tamil ௧௩௬௦௮௦ Thai ๑๓๖๐๘๐ Tibetan ༡༣༦༠༨༠ Khmer ១៣៦០៨០ Lao ໑໓໖໐໘໐ Burmese ၁၃၆၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136080, here are decompositions:

  • 11 + 136069 = 136080
  • 13 + 136067 = 136080
  • 23 + 136057 = 136080
  • 37 + 136043 = 136080
  • 47 + 136033 = 136080
  • 53 + 136027 = 136080
  • 67 + 136013 = 136080
  • 101 + 135979 = 136080

Showing the first eight; more decompositions exist.

Unicode codepoint
𡎐
CJK Unified Ideograph-21390
U+21390
Other letter (Lo)

UTF-8 encoding: F0 A1 8E 90 (4 bytes).

Hex color
#021390
RGB(2, 19, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.144.

Address
0.2.19.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.144

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 136,080 and was likely granted around 1872.

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

Position in π

The digit sequence 136080 first appears in π at position 89,683 of the decimal expansion (the 89,683ordinal-suffix:rd 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°.