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133,328

133,328 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.).

133,328 (one hundred thirty-three thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 641. Its proper divisors sum to 145,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208D0.

Abundant Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
432
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
823,331
Recamán's sequence
a(35,316) = 133,328
Square (n²)
17,776,355,584
Cube (n³)
2,370,085,937,303,552
Divisor count
20
σ(n) — sum of divisors
278,628
φ(n) — Euler's totient
61,440
Sum of prime factors
662

Primality

Prime factorization: 2 4 × 13 × 641

Nearest primes: 133,327 (−1) · 133,337 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 641 · 1282 · 2564 · 5128 · 8333 · 10256 · 16666 · 33332 · 66664 (half) · 133328
Aliquot sum (sum of proper divisors): 145,300
Factor pairs (a × b = 133,328)
1 × 133328
2 × 66664
4 × 33332
8 × 16666
13 × 10256
16 × 8333
26 × 5128
52 × 2564
104 × 1282
208 × 641
First multiples
133,328 · 266,656 (double) · 399,984 · 533,312 · 666,640 · 799,968 · 933,296 · 1,066,624 · 1,199,952 · 1,333,280

Sums & aliquot sequence

As a sum of two squares: 152² + 332² = 248² + 268²
As consecutive integers: 10,250 + 10,251 + … + 10,262 4,151 + 4,152 + … + 4,182 113 + 114 + … + 528
Aliquot sequence: 133,328 145,300 170,218 85,112 74,488 65,192 61,708 46,288 51,920 82,000 121,112 105,988 79,498 39,752 34,798 18,194 11,614 — unresolved within range

Continued fraction of √n

√133,328 = [365; (7, 11, 3, 1, 2, 1, 3, 11, 7, 730)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred twenty-eight
Ordinal
133328th
Binary
100000100011010000
Octal
404320
Hexadecimal
0x208D0
Base64
AgjQ
One's complement
4,294,833,967 (32-bit)
Scientific notation
1.33328 × 10⁵
As a duration
133,328 s = 1 day, 13 hours, 2 minutes, 8 seconds
In other bases
ternary (3) 20202220002
quaternary (4) 200203100
quinary (5) 13231303
senary (6) 2505132
septenary (7) 1063466
nonary (9) 222802
undecimal (11) 91198
duodecimal (12) 651a8
tridecimal (13) 488c0
tetradecimal (14) 36836
pentadecimal (15) 29788

As an angle

133,328° = 370 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγτκηʹ
Mayan (base 20)
𝋰·𝋭·𝋦·𝋨
Chinese
一十三萬三千三百二十八
Chinese (financial)
壹拾參萬參仟參佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٣٢٨ Devanagari १३३३२८ Bengali ১৩৩৩২৮ Tamil ௧௩௩௩௨௮ Thai ๑๓๓๓๒๘ Tibetan ༡༣༣༣༢༨ Khmer ១៣៣៣២៨ Lao ໑໓໓໓໒໘ Burmese ၁၃၃၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133328, here are decompositions:

  • 7 + 133321 = 133328
  • 67 + 133261 = 133328
  • 127 + 133201 = 133328
  • 211 + 133117 = 133328
  • 241 + 133087 = 133328
  • 277 + 133051 = 133328
  • 367 + 132961 = 133328
  • 379 + 132949 = 133328

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣐
CJK Unified Ideograph-208D0
U+208D0
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 90 (4 bytes).

Hex color
#0208D0
RGB(2, 8, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.208.

Address
0.2.8.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.208

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 133,328 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.