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136,836

136,836 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.).

136,836 (one hundred thirty-six thousand eight hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 7 × 181. Its proper divisors sum to 270,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21684.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,592
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
638,631
Square (n²)
18,724,090,896
Cube (n³)
2,562,129,701,845,056
Divisor count
48
σ(n) — sum of divisors
407,680
φ(n) — Euler's totient
38,880
Sum of prime factors
201

Primality

Prime factorization: 2 2 × 3 3 × 7 × 181

Nearest primes: 136,813 (−23) · 136,841 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 54 · 63 · 84 · 108 · 126 · 181 · 189 · 252 · 362 · 378 · 543 · 724 · 756 · 1086 · 1267 · 1629 · 2172 · 2534 · 3258 · 3801 · 4887 · 5068 · 6516 · 7602 · 9774 · 11403 · 15204 · 19548 · 22806 · 34209 · 45612 · 68418 (half) · 136836
Aliquot sum (sum of proper divisors): 270,844
Factor pairs (a × b = 136,836)
1 × 136836
2 × 68418
3 × 45612
4 × 34209
6 × 22806
7 × 19548
9 × 15204
12 × 11403
14 × 9774
18 × 7602
21 × 6516
27 × 5068
28 × 4887
36 × 3801
42 × 3258
54 × 2534
63 × 2172
84 × 1629
108 × 1267
126 × 1086
181 × 756
189 × 724
252 × 543
362 × 378
First multiples
136,836 · 273,672 (double) · 410,508 · 547,344 · 684,180 · 821,016 · 957,852 · 1,094,688 · 1,231,524 · 1,368,360

Sums & aliquot sequence

As consecutive integers: 45,611 + 45,612 + 45,613 19,545 + 19,546 + … + 19,551 17,101 + 17,102 + … + 17,108 15,200 + 15,201 + … + 15,208
Aliquot sequence: 136,836 270,844 303,716 303,772 336,868 352,604 369,796 388,220 579,460 811,580 1,510,852 1,510,908 2,518,404 4,318,860 10,964,436 19,870,284 35,287,476 — unresolved within range

Continued fraction of √n

√136,836 = [369; (1, 10, 1, 1, 3, 1, 1, 2, 3, 19, 1, 2, 2, 1, 26, 1, 2, 2, 1, 19, 3, 2, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand eight hundred thirty-six
Ordinal
136836th
Binary
100001011010000100
Octal
413204
Hexadecimal
0x21684
Base64
AhaE
One's complement
4,294,830,459 (32-bit)
Scientific notation
1.36836 × 10⁵
As a duration
136,836 s = 1 day, 14 hours, 36 seconds
In other bases
ternary (3) 20221201000
quaternary (4) 201122010
quinary (5) 13334321
senary (6) 2533300
septenary (7) 1106640
nonary (9) 227630
undecimal (11) 93897
duodecimal (12) 67230
tridecimal (13) 4a38b
tetradecimal (14) 37c20
pentadecimal (15) 2a826

As an angle

136,836° = 380 × 360° + 36°
36° ≈ 0.628 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛωλϛʹ
Mayan (base 20)
𝋱·𝋢·𝋡·𝋰
Chinese
一十三萬六千八百三十六
Chinese (financial)
壹拾參萬陸仟捌佰參拾陸
In other modern scripts
Eastern Arabic ١٣٦٨٣٦ Devanagari १३६८३६ Bengali ১৩৬৮৩৬ Tamil ௧௩௬௮௩௬ Thai ๑๓๖๘๓๖ Tibetan ༡༣༦༨༣༦ Khmer ១៣៦៨៣៦ Lao ໑໓໖໘໓໖ Burmese ၁၃၆၈၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136836, here are decompositions:

  • 23 + 136813 = 136836
  • 59 + 136777 = 136836
  • 67 + 136769 = 136836
  • 83 + 136753 = 136836
  • 97 + 136739 = 136836
  • 103 + 136733 = 136836
  • 109 + 136727 = 136836
  • 127 + 136709 = 136836

Showing the first eight; more decompositions exist.

Unicode codepoint
𡚄
CJK Unified Ideograph-21684
U+21684
Other letter (Lo)

UTF-8 encoding: F0 A1 9A 84 (4 bytes).

Hex color
#021684
RGB(2, 22, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.132.

Address
0.2.22.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.132

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 136,836 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 136836 first appears in π at position 59,098 of the decimal expansion (the 59,098ordinal-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°.