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133,360

133,360 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.).

133,360 (one hundred thirty-three thousand three hundred sixty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,667. Its proper divisors sum to 176,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x208F0.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
63,331
Recamán's sequence
a(35,380) = 133,360
Square (n²)
17,784,889,600
Cube (n³)
2,371,792,877,056,000
Divisor count
20
σ(n) — sum of divisors
310,248
φ(n) — Euler's totient
53,312
Sum of prime factors
1,680

Primality

Prime factorization: 2 4 × 5 × 1667

Nearest primes: 133,351 (−9) · 133,379 (+19)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1667 · 3334 · 6668 · 8335 · 13336 · 16670 · 26672 · 33340 · 66680 (half) · 133360
Aliquot sum (sum of proper divisors): 176,888
Factor pairs (a × b = 133,360)
1 × 133360
2 × 66680
4 × 33340
5 × 26672
8 × 16670
10 × 13336
16 × 8335
20 × 6668
40 × 3334
80 × 1667
First multiples
133,360 · 266,720 (double) · 400,080 · 533,440 · 666,800 · 800,160 · 933,520 · 1,066,880 · 1,200,240 · 1,333,600

Sums & aliquot sequence

As consecutive integers: 26,670 + 26,671 + 26,672 + 26,673 + 26,674 4,152 + 4,153 + … + 4,183 754 + 755 + … + 913
Aliquot sequence: 133,360 176,888 154,792 162,008 218,152 246,968 216,112 235,248 445,512 728,088 1,172,712 1,789,368 3,323,592 6,433,848 11,119,272 16,678,968 25,018,512 — unresolved within range

Continued fraction of √n

√133,360 = [365; (5, 2, 2, 4, 6, 2, 1, 4, 1, 44, 1, 4, 1, 2, 6, 4, 2, 2, 5, 730)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred sixty
Ordinal
133360th
Binary
100000100011110000
Octal
404360
Hexadecimal
0x208F0
Base64
Agjw
One's complement
4,294,833,935 (32-bit)
Scientific notation
1.3336 × 10⁵
As a duration
133,360 s = 1 day, 13 hours, 2 minutes, 40 seconds
In other bases
ternary (3) 20202221021
quaternary (4) 200203300
quinary (5) 13231420
senary (6) 2505224
septenary (7) 1063543
nonary (9) 222837
undecimal (11) 91217
duodecimal (12) 65214
tridecimal (13) 48916
tetradecimal (14) 3685a
pentadecimal (15) 297aa

As an angle

133,360° = 370 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγτξʹ
Mayan (base 20)
𝋰·𝋭·𝋨·𝋠
Chinese
一十三萬三千三百六十
Chinese (financial)
壹拾參萬參仟參佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٣٦٠ Devanagari १३३३६० Bengali ১৩৩৩৬০ Tamil ௧௩௩௩௬௦ Thai ๑๓๓๓๖๐ Tibetan ༡༣༣༣༦༠ Khmer ១៣៣៣៦០ Lao ໑໓໓໓໖໐ Burmese ၁၃၃၃၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133360, here are decompositions:

  • 11 + 133349 = 133360
  • 23 + 133337 = 133360
  • 41 + 133319 = 133360
  • 83 + 133277 = 133360
  • 89 + 133271 = 133360
  • 107 + 133253 = 133360
  • 173 + 133187 = 133360
  • 191 + 133169 = 133360

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣰
CJK Unified Ideograph-208F0
U+208F0
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 B0 (4 bytes).

Hex color
#0208F0
RGB(2, 8, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.240.

Address
0.2.8.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.240

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 133,360 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 133360 first appears in π at position 164,871 of the decimal expansion (the 164,871ordinal-suffix:st 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