number.wiki
Live analysis

133,340

133,340 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.).

133,340 (one hundred thirty-three thousand three hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 59 × 113. Its proper divisors sum to 153,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208DC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
43,331
Recamán's sequence
a(35,340) = 133,340
Square (n²)
17,779,555,600
Cube (n³)
2,370,725,943,704,000
Divisor count
24
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
51,968
Sum of prime factors
181

Primality

Prime factorization: 2 2 × 5 × 59 × 113

Nearest primes: 133,337 (−3) · 133,349 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 59 · 113 · 118 · 226 · 236 · 295 · 452 · 565 · 590 · 1130 · 1180 · 2260 · 6667 · 13334 · 26668 · 33335 · 66670 (half) · 133340
Aliquot sum (sum of proper divisors): 153,940
Factor pairs (a × b = 133,340)
1 × 133340
2 × 66670
4 × 33335
5 × 26668
10 × 13334
20 × 6667
59 × 2260
113 × 1180
118 × 1130
226 × 590
236 × 565
295 × 452
First multiples
133,340 · 266,680 (double) · 400,020 · 533,360 · 666,700 · 800,040 · 933,380 · 1,066,720 · 1,200,060 · 1,333,400

Sums & aliquot sequence

As consecutive integers: 26,666 + 26,667 + 26,668 + 26,669 + 26,670 16,664 + 16,665 + … + 16,671 3,314 + 3,315 + … + 3,353 2,231 + 2,232 + … + 2,289
Aliquot sequence: 133,340 153,940 178,700 209,296 203,376 352,144 383,052 521,124 694,860 1,309,716 2,155,564 1,629,980 2,240,740 2,496,860 2,792,116 2,177,324 1,833,676 — unresolved within range

Continued fraction of √n

√133,340 = [365; (6, 2, 1, 6, 2, 1, 22, 1, 7, 14, 1, 3, 1, 1, 12, 2, 16, 8, 1, 1, 7, 2, 65, 1, …)]

Representations

In words
one hundred thirty-three thousand three hundred forty
Ordinal
133340th
Binary
100000100011011100
Octal
404334
Hexadecimal
0x208DC
Base64
Agjc
One's complement
4,294,833,955 (32-bit)
Scientific notation
1.3334 × 10⁵
As a duration
133,340 s = 1 day, 13 hours, 2 minutes, 20 seconds
In other bases
ternary (3) 20202220112
quaternary (4) 200203130
quinary (5) 13231330
senary (6) 2505152
septenary (7) 1063514
nonary (9) 222815
undecimal (11) 911a9
duodecimal (12) 651b8
tridecimal (13) 488cc
tetradecimal (14) 36844
pentadecimal (15) 29795

As an angle

133,340° = 370 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγτμʹ
Mayan (base 20)
𝋰·𝋭·𝋧·𝋠
Chinese
一十三萬三千三百四十
Chinese (financial)
壹拾參萬參仟參佰肆拾
In other modern scripts
Eastern Arabic ١٣٣٣٤٠ Devanagari १३३३४० Bengali ১৩৩৩৪০ Tamil ௧௩௩௩௪௦ Thai ๑๓๓๓๔๐ Tibetan ༡༣༣༣༤༠ Khmer ១៣៣៣៤០ Lao ໑໓໓໓໔໐ Burmese ၁၃၃၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133340, here are decompositions:

  • 3 + 133337 = 133340
  • 13 + 133327 = 133340
  • 19 + 133321 = 133340
  • 37 + 133303 = 133340
  • 61 + 133279 = 133340
  • 79 + 133261 = 133340
  • 127 + 133213 = 133340
  • 139 + 133201 = 133340

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣜
CJK Unified Ideograph-208Dc
U+208DC
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 9C (4 bytes).

Hex color
#0208DC
RGB(2, 8, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.220.

Address
0.2.8.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.220

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 133,340 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.