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133,260

133,260 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.).

133,260 (one hundred thirty-three thousand two hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 2,221. Its proper divisors sum to 240,036, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2088C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
62,331
Square (n²)
17,758,227,600
Cube (n³)
2,366,461,409,976,000
Divisor count
24
σ(n) — sum of divisors
373,296
φ(n) — Euler's totient
35,520
Sum of prime factors
2,233

Primality

Prime factorization: 2 2 × 3 × 5 × 2221

Nearest primes: 133,253 (−7) · 133,261 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 2221 · 4442 · 6663 · 8884 · 11105 · 13326 · 22210 · 26652 · 33315 · 44420 · 66630 (half) · 133260
Aliquot sum (sum of proper divisors): 240,036
Factor pairs (a × b = 133,260)
1 × 133260
2 × 66630
3 × 44420
4 × 33315
5 × 26652
6 × 22210
10 × 13326
12 × 11105
15 × 8884
20 × 6663
30 × 4442
60 × 2221
First multiples
133,260 · 266,520 (double) · 399,780 · 533,040 · 666,300 · 799,560 · 932,820 · 1,066,080 · 1,199,340 · 1,332,600

Sums & aliquot sequence

As consecutive integers: 44,419 + 44,420 + 44,421 26,650 + 26,651 + 26,652 + 26,653 + 26,654 16,654 + 16,655 + … + 16,661 8,877 + 8,878 + … + 8,891
Aliquot sequence: 133,260 240,036 329,148 526,980 948,732 1,282,644 2,386,476 4,131,924 5,509,260 11,403,636 15,271,404 20,361,900 46,133,844 61,799,436 106,800,996 146,488,348 110,205,012 — unresolved within range

Continued fraction of √n

√133,260 = [365; (20, 1, 6, 14, 1, 3, 10, 34, 1, 2, 48, 2, 1, 34, 10, 3, 1, 14, 6, 1, 20, 730)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand two hundred sixty
Ordinal
133260th
Binary
100000100010001100
Octal
404214
Hexadecimal
0x2088C
Base64
AgiM
One's complement
4,294,834,035 (32-bit)
Scientific notation
1.3326 × 10⁵
As a duration
133,260 s = 1 day, 13 hours, 1 minute
In other bases
ternary (3) 20202210120
quaternary (4) 200202030
quinary (5) 13231020
senary (6) 2504540
septenary (7) 1063341
nonary (9) 222716
undecimal (11) 91136
duodecimal (12) 65150
tridecimal (13) 4886a
tetradecimal (14) 367c8
pentadecimal (15) 29740

As an angle

133,260° = 370 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγσξʹ
Mayan (base 20)
𝋰·𝋭·𝋣·𝋠
Chinese
一十三萬三千二百六十
Chinese (financial)
壹拾參萬參仟貳佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٢٦٠ Devanagari १३३२६० Bengali ১৩৩২৬০ Tamil ௧௩௩௨௬௦ Thai ๑๓๓๒๖๐ Tibetan ༡༣༣༢༦༠ Khmer ១៣៣២៦០ Lao ໑໓໓໒໖໐ Burmese ၁၃၃၂၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133260, here are decompositions:

  • 7 + 133253 = 133260
  • 19 + 133241 = 133260
  • 47 + 133213 = 133260
  • 59 + 133201 = 133260
  • 73 + 133187 = 133260
  • 103 + 133157 = 133260
  • 107 + 133153 = 133260
  • 139 + 133121 = 133260

Showing the first eight; more decompositions exist.

Unicode codepoint
𠢌
CJK Unified Ideograph-2088C
U+2088C
Other letter (Lo)

UTF-8 encoding: F0 A0 A2 8C (4 bytes).

Hex color
#02088C
RGB(2, 8, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.140.

Address
0.2.8.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.140

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 133,260 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 133260 first appears in π at position 214,528 of the decimal expansion (the 214,528ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.