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133,668

133,668 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.).

133,668 (one hundred thirty-three thousand six hundred sixty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 47 × 79. Its proper divisors sum to 215,772, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A24.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,592
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
866,331
Square (n²)
17,867,134,224
Cube (n³)
2,388,264,097,453,632
Divisor count
36
σ(n) — sum of divisors
349,440
φ(n) — Euler's totient
43,056
Sum of prime factors
136

Primality

Prime factorization: 2 2 × 3 2 × 47 × 79

Nearest primes: 133,657 (−11) · 133,669 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 47 · 79 · 94 · 141 · 158 · 188 · 237 · 282 · 316 · 423 · 474 · 564 · 711 · 846 · 948 · 1422 · 1692 · 2844 · 3713 · 7426 · 11139 · 14852 · 22278 · 33417 · 44556 · 66834 (half) · 133668
Aliquot sum (sum of proper divisors): 215,772
Factor pairs (a × b = 133,668)
1 × 133668
2 × 66834
3 × 44556
4 × 33417
6 × 22278
9 × 14852
12 × 11139
18 × 7426
36 × 3713
47 × 2844
79 × 1692
94 × 1422
141 × 948
158 × 846
188 × 711
237 × 564
282 × 474
316 × 423
First multiples
133,668 · 267,336 (double) · 401,004 · 534,672 · 668,340 · 802,008 · 935,676 · 1,069,344 · 1,203,012 · 1,336,680

Sums & aliquot sequence

As consecutive integers: 44,555 + 44,556 + 44,557 16,705 + 16,706 + … + 16,712 14,848 + 14,849 + … + 14,856 5,558 + 5,559 + … + 5,581
Aliquot sequence: 133,668 215,772 287,724 383,660 422,068 316,558 201,482 100,744 119,846 65,818 32,912 41,302 21,554 13,306 6,656 7,666 3,836 — unresolved within range

Continued fraction of √n

√133,668 = [365; (1, 1, 1, 1, 5, 1, 2, 2, 1, 2, 6, 2, 6, 2, 1, 2, 2, 1, 5, 1, 1, 1, 1, 730)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred sixty-eight
Ordinal
133668th
Binary
100000101000100100
Octal
405044
Hexadecimal
0x20A24
Base64
Agok
One's complement
4,294,833,627 (32-bit)
Scientific notation
1.33668 × 10⁵
As a duration
133,668 s = 1 day, 13 hours, 7 minutes, 48 seconds
In other bases
ternary (3) 20210100200
quaternary (4) 200220210
quinary (5) 13234133
senary (6) 2510500
septenary (7) 1064463
nonary (9) 223320
undecimal (11) 91477
duodecimal (12) 65430
tridecimal (13) 48ac2
tetradecimal (14) 369da
pentadecimal (15) 29913

As an angle

133,668° = 371 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχξηʹ
Mayan (base 20)
𝋰·𝋮·𝋣·𝋨
Chinese
一十三萬三千六百六十八
Chinese (financial)
壹拾參萬參仟陸佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣٦٦٨ Devanagari १३३६६८ Bengali ১৩৩৬৬৮ Tamil ௧௩௩௬௬௮ Thai ๑๓๓๖๖๘ Tibetan ༡༣༣༦༦༨ Khmer ១៣៣៦៦៨ Lao ໑໓໓໖໖໘ Burmese ၁၃၃၆၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133668, here are decompositions:

  • 11 + 133657 = 133668
  • 19 + 133649 = 133668
  • 37 + 133631 = 133668
  • 71 + 133597 = 133668
  • 97 + 133571 = 133668
  • 109 + 133559 = 133668
  • 127 + 133541 = 133668
  • 149 + 133519 = 133668

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨤
CJK Unified Ideograph-20A24
U+20A24
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 A4 (4 bytes).

Hex color
#020A24
RGB(2, 10, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.36.

Address
0.2.10.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.36

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 133,668 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 133668 first appears in π at position 515,034 of the decimal expansion (the 515,034ordinal-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°.