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133,480

133,480 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.).

133,480 (one hundred thirty-three thousand four hundred eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 47 × 71. Its proper divisors sum to 177,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20968.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence 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
84,331
Recamán's sequence
a(35,620) = 133,480
Square (n²)
17,816,910,400
Cube (n³)
2,378,201,200,192,000
Divisor count
32
σ(n) — sum of divisors
311,040
φ(n) — Euler's totient
51,520
Sum of prime factors
129

Primality

Prime factorization: 2 3 × 5 × 47 × 71

Nearest primes: 133,451 (−29) · 133,481 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 47 · 71 · 94 · 142 · 188 · 235 · 284 · 355 · 376 · 470 · 568 · 710 · 940 · 1420 · 1880 · 2840 · 3337 · 6674 · 13348 · 16685 · 26696 · 33370 · 66740 (half) · 133480
Aliquot sum (sum of proper divisors): 177,560
Factor pairs (a × b = 133,480)
1 × 133480
2 × 66740
4 × 33370
5 × 26696
8 × 16685
10 × 13348
20 × 6674
40 × 3337
47 × 2840
71 × 1880
94 × 1420
142 × 940
188 × 710
235 × 568
284 × 470
355 × 376
First multiples
133,480 · 266,960 (double) · 400,440 · 533,920 · 667,400 · 800,880 · 934,360 · 1,067,840 · 1,201,320 · 1,334,800

Sums & aliquot sequence

As consecutive integers: 26,694 + 26,695 + 26,696 + 26,697 + 26,698 8,335 + 8,336 + … + 8,350 2,817 + 2,818 + … + 2,863 1,845 + 1,846 + … + 1,915
Aliquot sequence: 133,480 177,560 241,480 301,940 353,932 298,188 548,532 886,286 447,298 272,702 136,354 71,006 43,738 25,382 20,218 12,902 6,454 — unresolved within range

Continued fraction of √n

√133,480 = [365; (2, 1, 6, 2, 1, 3, 1, 1, 1, 3, 1, 2, 6, 1, 2, 730)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred eighty
Ordinal
133480th
Binary
100000100101101000
Octal
404550
Hexadecimal
0x20968
Base64
Aglo
One's complement
4,294,833,815 (32-bit)
Scientific notation
1.3348 × 10⁵
As a duration
133,480 s = 1 day, 13 hours, 4 minutes, 40 seconds
In other bases
ternary (3) 20210002201
quaternary (4) 200211220
quinary (5) 13232410
senary (6) 2505544
septenary (7) 1064104
nonary (9) 223081
undecimal (11) 91316
duodecimal (12) 652b4
tridecimal (13) 489a9
tetradecimal (14) 36904
pentadecimal (15) 2983a

As an angle

133,480° = 370 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγυπʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋠
Chinese
一十三萬三千四百八十
Chinese (financial)
壹拾參萬參仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٣٣٤٨٠ Devanagari १३३४८० Bengali ১৩৩৪৮০ Tamil ௧௩௩௪௮௦ Thai ๑๓๓๔๘๐ Tibetan ༡༣༣༤༨༠ Khmer ១៣៣៤៨០ Lao ໑໓໓໔໘໐ Burmese ၁၃၃၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133480, here are decompositions:

  • 29 + 133451 = 133480
  • 41 + 133439 = 133480
  • 89 + 133391 = 133480
  • 101 + 133379 = 133480
  • 131 + 133349 = 133480
  • 197 + 133283 = 133480
  • 227 + 133253 = 133480
  • 239 + 133241 = 133480

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥨
CJK Unified Ideograph-20968
U+20968
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 A8 (4 bytes).

Hex color
#020968
RGB(2, 9, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.104.

Address
0.2.9.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.104

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 133,480 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 133480 first appears in π at position 30,977 of the decimal expansion (the 30,977ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading