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136,032

136,032 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.).

136,032 (one hundred thirty-six thousand thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 13 × 109. Its proper divisors sum to 252,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21360.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
230,631
Square (n²)
18,504,705,024
Cube (n³)
2,517,232,033,824,768
Divisor count
48
σ(n) — sum of divisors
388,080
φ(n) — Euler's totient
41,472
Sum of prime factors
135

Primality

Prime factorization: 2 5 × 3 × 13 × 109

Nearest primes: 136,027 (−5) · 136,033 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 32 · 39 · 48 · 52 · 78 · 96 · 104 · 109 · 156 · 208 · 218 · 312 · 327 · 416 · 436 · 624 · 654 · 872 · 1248 · 1308 · 1417 · 1744 · 2616 · 2834 · 3488 · 4251 · 5232 · 5668 · 8502 · 10464 · 11336 · 17004 · 22672 · 34008 · 45344 · 68016 (half) · 136032
Aliquot sum (sum of proper divisors): 252,048
Factor pairs (a × b = 136,032)
1 × 136032
2 × 68016
3 × 45344
4 × 34008
6 × 22672
8 × 17004
12 × 11336
13 × 10464
16 × 8502
24 × 5668
26 × 5232
32 × 4251
39 × 3488
48 × 2834
52 × 2616
78 × 1744
96 × 1417
104 × 1308
109 × 1248
156 × 872
208 × 654
218 × 624
312 × 436
327 × 416
First multiples
136,032 · 272,064 (double) · 408,096 · 544,128 · 680,160 · 816,192 · 952,224 · 1,088,256 · 1,224,288 · 1,360,320

Sums & aliquot sequence

As consecutive integers: 45,343 + 45,344 + 45,345 10,458 + 10,459 + … + 10,470 3,469 + 3,470 + … + 3,507 2,094 + 2,095 + … + 2,157
Aliquot sequence: 136,032 252,048 417,552 661,248 1,570,800 5,071,632 9,094,128 14,977,248 31,253,664 58,498,656 95,060,568 142,590,912 247,705,488 445,526,246 311,679,034 157,780,154 112,911,046 — unresolved within range

Continued fraction of √n

√136,032 = [368; (1, 4, 1, 2, 1, 1, 3, 3, 2, 14, 1, 14, 8, 2, 2, 2, 1, 183, 1, 2, 2, 2, 8, 14, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand thirty-two
Ordinal
136032nd
Binary
100001001101100000
Octal
411540
Hexadecimal
0x21360
Base64
AhNg
One's complement
4,294,831,263 (32-bit)
Scientific notation
1.36032 × 10⁵
As a duration
136,032 s = 1 day, 13 hours, 47 minutes, 12 seconds
In other bases
ternary (3) 20220121020
quaternary (4) 201031200
quinary (5) 13323112
senary (6) 2525440
septenary (7) 1104411
nonary (9) 226536
undecimal (11) 93226
duodecimal (12) 66880
tridecimal (13) 49bc0
tetradecimal (14) 37808
pentadecimal (15) 2a48c

As an angle

136,032° = 377 × 360° + 312°
312° ≈ 5.445 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛλβʹ
Mayan (base 20)
𝋱·𝋠·𝋡·𝋬
Chinese
一十三萬六千零三十二
Chinese (financial)
壹拾參萬陸仟零參拾貳
In other modern scripts
Eastern Arabic ١٣٦٠٣٢ Devanagari १३६०३२ Bengali ১৩৬০৩২ Tamil ௧௩௬௦௩௨ Thai ๑๓๖๐๓๒ Tibetan ༡༣༦༠༣༢ Khmer ១៣៦០៣២ Lao ໑໓໖໐໓໒ Burmese ၁၃၆၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136032, here are decompositions:

  • 5 + 136027 = 136032
  • 19 + 136013 = 136032
  • 53 + 135979 = 136032
  • 103 + 135929 = 136032
  • 139 + 135893 = 136032
  • 173 + 135859 = 136032
  • 181 + 135851 = 136032
  • 191 + 135841 = 136032

Showing the first eight; more decompositions exist.

Unicode codepoint
𡍠
CJK Unified Ideograph-21360
U+21360
Other letter (Lo)

UTF-8 encoding: F0 A1 8D A0 (4 bytes).

Hex color
#021360
RGB(2, 19, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.96.

Address
0.2.19.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.96

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 136,032 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.