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133,780

133,780 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.).

133,780 (one hundred thirty-three thousand seven hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,689. Its proper divisors sum to 147,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A94.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
87,331
Square (n²)
17,897,088,400
Cube (n³)
2,394,272,486,152,000
Divisor count
12
σ(n) — sum of divisors
280,980
φ(n) — Euler's totient
53,504
Sum of prime factors
6,698

Primality

Prime factorization: 2 2 × 5 × 6689

Nearest primes: 133,769 (−11) · 133,781 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6689 · 13378 · 26756 · 33445 · 66890 (half) · 133780
Aliquot sum (sum of proper divisors): 147,200
Factor pairs (a × b = 133,780)
1 × 133780
2 × 66890
4 × 33445
5 × 26756
10 × 13378
20 × 6689
First multiples
133,780 · 267,560 (double) · 401,340 · 535,120 · 668,900 · 802,680 · 936,460 · 1,070,240 · 1,204,020 · 1,337,800

Sums & aliquot sequence

As a sum of two squares: 92² + 354² = 228² + 286²
As consecutive integers: 26,754 + 26,755 + 26,756 + 26,757 + 26,758 16,719 + 16,720 + … + 16,726 3,325 + 3,326 + … + 3,364
Aliquot sequence: 133,780 147,200 232,984 203,876 152,914 79,034 42,406 36,218 30,982 22,154 16,726 8,366 4,594 2,300 2,908 2,188 1,648 — unresolved within range

Continued fraction of √n

√133,780 = [365; (1, 3, 6, 2, 1, 15, 1, 1, 2, 1, 19, 1, 1, 1, 1, 8, 2, 3, 36, 3, 2, 8, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred eighty
Ordinal
133780th
Binary
100000101010010100
Octal
405224
Hexadecimal
0x20A94
Base64
AgqU
One's complement
4,294,833,515 (32-bit)
Scientific notation
1.3378 × 10⁵
As a duration
133,780 s = 1 day, 13 hours, 9 minutes, 40 seconds
In other bases
ternary (3) 20210111211
quaternary (4) 200222110
quinary (5) 13240110
senary (6) 2511204
septenary (7) 1065013
nonary (9) 223454
undecimal (11) 91569
duodecimal (12) 65504
tridecimal (13) 48b7a
tetradecimal (14) 36a7a
pentadecimal (15) 2998a

As an angle

133,780° = 371 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγψπʹ
Mayan (base 20)
𝋰·𝋮·𝋩·𝋠
Chinese
一十三萬三千七百八十
Chinese (financial)
壹拾參萬參仟柒佰捌拾
In other modern scripts
Eastern Arabic ١٣٣٧٨٠ Devanagari १३३७८० Bengali ১৩৩৭৮০ Tamil ௧௩௩௭௮௦ Thai ๑๓๓๗๘๐ Tibetan ༡༣༣༧༨༠ Khmer ១៣៣៧៨០ Lao ໑໓໓໗໘໐ Burmese ၁၃၃၇၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133780, here are decompositions:

  • 11 + 133769 = 133780
  • 47 + 133733 = 133780
  • 71 + 133709 = 133780
  • 83 + 133697 = 133780
  • 89 + 133691 = 133780
  • 107 + 133673 = 133780
  • 131 + 133649 = 133780
  • 149 + 133631 = 133780

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪔
CJK Unified Ideograph-20A94
U+20A94
Other letter (Lo)

UTF-8 encoding: F0 A0 AA 94 (4 bytes).

Hex color
#020A94
RGB(2, 10, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.148.

Address
0.2.10.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.148

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 133,780 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