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136,840

136,840 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.).

136,840 (one hundred thirty-six thousand eight hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 11 × 311. Its proper divisors sum to 200,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21688.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
48,631
Square (n²)
18,725,185,600
Cube (n³)
2,562,354,397,504,000
Divisor count
32
σ(n) — sum of divisors
336,960
φ(n) — Euler's totient
49,600
Sum of prime factors
333

Primality

Prime factorization: 2 3 × 5 × 11 × 311

Nearest primes: 136,813 (−27) · 136,841 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 40 · 44 · 55 · 88 · 110 · 220 · 311 · 440 · 622 · 1244 · 1555 · 2488 · 3110 · 3421 · 6220 · 6842 · 12440 · 13684 · 17105 · 27368 · 34210 · 68420 (half) · 136840
Aliquot sum (sum of proper divisors): 200,120
Factor pairs (a × b = 136,840)
1 × 136840
2 × 68420
4 × 34210
5 × 27368
8 × 17105
10 × 13684
11 × 12440
20 × 6842
22 × 6220
40 × 3421
44 × 3110
55 × 2488
88 × 1555
110 × 1244
220 × 622
311 × 440
First multiples
136,840 · 273,680 (double) · 410,520 · 547,360 · 684,200 · 821,040 · 957,880 · 1,094,720 · 1,231,560 · 1,368,400

Sums & aliquot sequence

As consecutive integers: 27,366 + 27,367 + 27,368 + 27,369 + 27,370 12,435 + 12,436 + … + 12,445 8,545 + 8,546 + … + 8,560 2,461 + 2,462 + … + 2,515
Aliquot sequence: 136,840 200,120 250,240 410,720 623,488 618,872 541,528 587,432 526,828 395,128 345,752 361,648 439,392 770,208 1,298,208 2,109,840 4,586,160 — unresolved within range

Continued fraction of √n

√136,840 = [369; (1, 11, 3, 81, 1, 7, 3, 12, 1, 8, 4, 1, 3, 1, 2, 2, 2, 3, 3, 1, 2, 1, 2, 14, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand eight hundred forty
Ordinal
136840th
Binary
100001011010001000
Octal
413210
Hexadecimal
0x21688
Base64
AhaI
One's complement
4,294,830,455 (32-bit)
Scientific notation
1.3684 × 10⁵
As a duration
136,840 s = 1 day, 14 hours, 40 seconds
In other bases
ternary (3) 20221201011
quaternary (4) 201122020
quinary (5) 13334330
senary (6) 2533304
septenary (7) 1106644
nonary (9) 227634
undecimal (11) 938a0
duodecimal (12) 67234
tridecimal (13) 4a392
tetradecimal (14) 37c24
pentadecimal (15) 2a82a

As an angle

136,840° = 380 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛωμʹ
Mayan (base 20)
𝋱·𝋢·𝋢·𝋠
Chinese
一十三萬六千八百四十
Chinese (financial)
壹拾參萬陸仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٣٦٨٤٠ Devanagari १३६८४० Bengali ১৩৬৮৪০ Tamil ௧௩௬௮௪௦ Thai ๑๓๖๘๔๐ Tibetan ༡༣༦༨༤༠ Khmer ១៣៦៨៤០ Lao ໑໓໖໘໔໐ Burmese ၁၃၆၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136840, here are decompositions:

  • 29 + 136811 = 136840
  • 71 + 136769 = 136840
  • 89 + 136751 = 136840
  • 101 + 136739 = 136840
  • 107 + 136733 = 136840
  • 113 + 136727 = 136840
  • 131 + 136709 = 136840
  • 149 + 136691 = 136840

Showing the first eight; more decompositions exist.

Unicode codepoint
𡚈
CJK Unified Ideograph-21688
U+21688
Other letter (Lo)

UTF-8 encoding: F0 A1 9A 88 (4 bytes).

Hex color
#021688
RGB(2, 22, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.136.

Address
0.2.22.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.136

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 136,840 and was likely granted around 1872.

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

Related reading