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133,564

133,564 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.).

133,564 (one hundred thirty-three thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,391. Written other ways, in hexadecimal, 0x209BC.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
1,080
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
465,331
Square (n²)
17,839,342,096
Cube (n³)
2,382,693,887,710,144
Divisor count
6
σ(n) — sum of divisors
233,744
φ(n) — Euler's totient
66,780
Sum of prime factors
33,395

Primality

Prime factorization: 2 2 × 33391

Nearest primes: 133,559 (−5) · 133,571 (+7)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33391 · 66782 (half) · 133564
Aliquot sum (sum of proper divisors): 100,180
Factor pairs (a × b = 133,564)
1 × 133564
2 × 66782
4 × 33391
First multiples
133,564 · 267,128 (double) · 400,692 · 534,256 · 667,820 · 801,384 · 934,948 · 1,068,512 · 1,202,076 · 1,335,640

Sums & aliquot sequence

As consecutive integers: 16,692 + 16,693 + … + 16,699
Aliquot sequence: 133,564 100,180 110,240 175,528 163,052 122,296 107,024 100,366 75,890 60,730 48,602 28,198 16,010 12,826 8,720 11,740 12,956 — unresolved within range

Continued fraction of √n

√133,564 = [365; (2, 6, 2, 6, 243, 2, 20, 2, 1, 1, 2, 80, 1, 4, 1, 6, 7, 1, 3, 1, 26, 3, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand five hundred sixty-four
Ordinal
133564th
Binary
100000100110111100
Octal
404674
Hexadecimal
0x209BC
Base64
Agm8
One's complement
4,294,833,731 (32-bit)
Scientific notation
1.33564 × 10⁵
As a duration
133,564 s = 1 day, 13 hours, 6 minutes, 4 seconds
In other bases
ternary (3) 20210012211
quaternary (4) 200212330
quinary (5) 13233224
senary (6) 2510204
septenary (7) 1064254
nonary (9) 223184
undecimal (11) 91392
duodecimal (12) 65364
tridecimal (13) 48a42
tetradecimal (14) 36964
pentadecimal (15) 29894

As an angle

133,564° = 371 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφξδʹ
Mayan (base 20)
𝋰·𝋭·𝋲·𝋤
Chinese
一十三萬三千五百六十四
Chinese (financial)
壹拾參萬參仟伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٣٥٦٤ Devanagari १३३५६४ Bengali ১৩৩৫৬৪ Tamil ௧௩௩௫௬௪ Thai ๑๓๓๕๖๔ Tibetan ༡༣༣༥༦༤ Khmer ១៣៣៥៦៤ Lao ໑໓໓໕໖໔ Burmese ၁၃၃၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133564, here are decompositions:

  • 5 + 133559 = 133564
  • 23 + 133541 = 133564
  • 71 + 133493 = 133564
  • 83 + 133481 = 133564
  • 113 + 133451 = 133564
  • 173 + 133391 = 133564
  • 227 + 133337 = 133564
  • 281 + 133283 = 133564

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦼
CJK Unified Ideograph-209Bc
U+209BC
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 BC (4 bytes).

Hex color
#0209BC
RGB(2, 9, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.188.

Address
0.2.9.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.188

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 133,564 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