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133,660

133,660 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.).

133,660 (one hundred thirty-three thousand six hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 41 × 163. Its proper divisors sum to 155,636, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A1C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
66,331
Square (n²)
17,864,995,600
Cube (n³)
2,387,835,311,896,000
Divisor count
24
σ(n) — sum of divisors
289,296
φ(n) — Euler's totient
51,840
Sum of prime factors
213

Primality

Prime factorization: 2 2 × 5 × 41 × 163

Nearest primes: 133,657 (−3) · 133,669 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 41 · 82 · 163 · 164 · 205 · 326 · 410 · 652 · 815 · 820 · 1630 · 3260 · 6683 · 13366 · 26732 · 33415 · 66830 (half) · 133660
Aliquot sum (sum of proper divisors): 155,636
Factor pairs (a × b = 133,660)
1 × 133660
2 × 66830
4 × 33415
5 × 26732
10 × 13366
20 × 6683
41 × 3260
82 × 1630
163 × 820
164 × 815
205 × 652
326 × 410
First multiples
133,660 · 267,320 (double) · 400,980 · 534,640 · 668,300 · 801,960 · 935,620 · 1,069,280 · 1,202,940 · 1,336,600

Sums & aliquot sequence

As consecutive integers: 26,730 + 26,731 + 26,732 + 26,733 + 26,734 16,704 + 16,705 + … + 16,711 3,322 + 3,323 + … + 3,361 3,240 + 3,241 + … + 3,280
Aliquot sequence: 133,660 155,636 148,948 123,212 92,416 102,275 24,577 3,519 2,097 945 975 761 1 0 — terminates at zero

Continued fraction of √n

√133,660 = [365; (1, 1, 2, 8, 3, 3, 1, 1, 4, 1, 2, 3, 1, 1, 2, 17, 1, 8, 12, 3, 1, 1, 4, 34, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred sixty
Ordinal
133660th
Binary
100000101000011100
Octal
405034
Hexadecimal
0x20A1C
Base64
Agoc
One's complement
4,294,833,635 (32-bit)
Scientific notation
1.3366 × 10⁵
As a duration
133,660 s = 1 day, 13 hours, 7 minutes, 40 seconds
In other bases
ternary (3) 20210100101
quaternary (4) 200220130
quinary (5) 13234120
senary (6) 2510444
septenary (7) 1064452
nonary (9) 223311
undecimal (11) 9146a
duodecimal (12) 65424
tridecimal (13) 48ab7
tetradecimal (14) 369d2
pentadecimal (15) 2990a

As an angle

133,660° = 371 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγχξʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋠
Chinese
一十三萬三千六百六十
Chinese (financial)
壹拾參萬參仟陸佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٦٦٠ Devanagari १३३६६० Bengali ১৩৩৬৬০ Tamil ௧௩௩௬௬௦ Thai ๑๓๓๖๖๐ Tibetan ༡༣༣༦༦༠ Khmer ១៣៣៦៦០ Lao ໑໓໓໖໖໐ Burmese ၁၃၃၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133660, here are decompositions:

  • 3 + 133657 = 133660
  • 11 + 133649 = 133660
  • 29 + 133631 = 133660
  • 89 + 133571 = 133660
  • 101 + 133559 = 133660
  • 167 + 133493 = 133660
  • 179 + 133481 = 133660
  • 257 + 133403 = 133660

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨜
CJK Unified Ideograph-20A1C
U+20A1C
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 9C (4 bytes).

Hex color
#020A1C
RGB(2, 10, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.28.

Address
0.2.10.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.28

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 133,660 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