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136,008

136,008 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.).

136,008 (one hundred thirty-six thousand eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,889. Its proper divisors sum to 232,542, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21348.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
800,631
Square (n²)
18,498,176,064
Cube (n³)
2,515,899,930,112,512
Divisor count
24
σ(n) — sum of divisors
368,550
φ(n) — Euler's totient
45,312
Sum of prime factors
1,901

Primality

Prime factorization: 2 3 × 3 2 × 1889

Nearest primes: 135,979 (−29) · 136,013 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1889 · 3778 · 5667 · 7556 · 11334 · 15112 · 17001 · 22668 · 34002 · 45336 · 68004 (half) · 136008
Aliquot sum (sum of proper divisors): 232,542
Factor pairs (a × b = 136,008)
1 × 136008
2 × 68004
3 × 45336
4 × 34002
6 × 22668
8 × 17001
9 × 15112
12 × 11334
18 × 7556
24 × 5667
36 × 3778
72 × 1889
First multiples
136,008 · 272,016 (double) · 408,024 · 544,032 · 680,040 · 816,048 · 952,056 · 1,088,064 · 1,224,072 · 1,360,080

Sums & aliquot sequence

As a sum of two squares: 138² + 342²
As consecutive integers: 45,335 + 45,336 + 45,337 15,108 + 15,109 + … + 15,116 8,493 + 8,494 + … + 8,508 2,810 + 2,811 + … + 2,857
Aliquot sequence: 136,008 232,542 271,338 285,078 285,090 513,246 523,698 709,326 843,498 984,120 2,039,880 4,180,920 8,362,200 24,135,720 60,190,680 136,801,320 274,678,680 — unresolved within range

Continued fraction of √n

√136,008 = [368; (1, 3, 1, 4, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 4, 1, 3, 1, 736)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand eight
Ordinal
136008th
Binary
100001001101001000
Octal
411510
Hexadecimal
0x21348
Base64
AhNI
One's complement
4,294,831,287 (32-bit)
Scientific notation
1.36008 × 10⁵
As a duration
136,008 s = 1 day, 13 hours, 46 minutes, 48 seconds
In other bases
ternary (3) 20220120100
quaternary (4) 201031020
quinary (5) 13323013
senary (6) 2525400
septenary (7) 1104345
nonary (9) 226510
undecimal (11) 93204
duodecimal (12) 66860
tridecimal (13) 49ba2
tetradecimal (14) 377cc
pentadecimal (15) 2a473

As an angle

136,008° = 377 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛηʹ
Mayan (base 20)
𝋱·𝋠·𝋠·𝋨
Chinese
一十三萬六千零八
Chinese (financial)
壹拾參萬陸仟零捌
In other modern scripts
Eastern Arabic ١٣٦٠٠٨ Devanagari १३६००८ Bengali ১৩৬০০৮ Tamil ௧௩௬௦௦௮ Thai ๑๓๖๐๐๘ Tibetan ༡༣༦༠༠༨ Khmer ១៣៦០០៨ Lao ໑໓໖໐໐໘ Burmese ၁၃၆၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136008, here are decompositions:

  • 29 + 135979 = 136008
  • 31 + 135977 = 136008
  • 71 + 135937 = 136008
  • 79 + 135929 = 136008
  • 97 + 135911 = 136008
  • 109 + 135899 = 136008
  • 149 + 135859 = 136008
  • 157 + 135851 = 136008

Showing the first eight; more decompositions exist.

Unicode codepoint
𡍈
CJK Unified Ideograph-21348
U+21348
Other letter (Lo)

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

Hex color
#021348
RGB(2, 19, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.72.

Address
0.2.19.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.72

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 136,008 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 136008 first appears in π at position 387,159 of the decimal expansion (the 387,159ordinal-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°.