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133,868

133,868 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.).

133,868 (one hundred thirty-three thousand eight hundred sixty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 683. Its proper divisors sum to 139,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AEC.

Abundant Number Arithmetic Number Cube-Free Evil Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
3,456
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
868,331
Square (n²)
17,920,641,424
Cube (n³)
2,399,000,426,148,032
Divisor count
18
σ(n) — sum of divisors
272,916
φ(n) — Euler's totient
57,288
Sum of prime factors
701

Primality

Prime factorization: 2 2 × 7 2 × 683

Nearest primes: 133,853 (−15) · 133,873 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 683 · 1366 · 2732 · 4781 · 9562 · 19124 · 33467 · 66934 (half) · 133868
Aliquot sum (sum of proper divisors): 139,048
Factor pairs (a × b = 133,868)
1 × 133868
2 × 66934
4 × 33467
7 × 19124
14 × 9562
28 × 4781
49 × 2732
98 × 1366
196 × 683
First multiples
133,868 · 267,736 (double) · 401,604 · 535,472 · 669,340 · 803,208 · 937,076 · 1,070,944 · 1,204,812 · 1,338,680

Sums & aliquot sequence

As consecutive integers: 19,121 + 19,122 + … + 19,127 16,730 + 16,731 + … + 16,737 2,708 + 2,709 + … + 2,756 2,363 + 2,364 + … + 2,418
Aliquot sequence: 133,868 139,048 183,512 226,888 205,112 179,488 183,392 211,240 264,140 304,372 239,948 183,412 137,566 112,778 73,846 36,926 20,074 — unresolved within range

Continued fraction of √n

√133,868 = [365; (1, 7, 3, 6, 2, 1, 1, 5, 2, 4, 1, 7, 2, 182, 2, 7, 1, 4, 2, 5, 1, 1, 2, 6, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred sixty-eight
Ordinal
133868th
Binary
100000101011101100
Octal
405354
Hexadecimal
0x20AEC
Base64
Agrs
One's complement
4,294,833,427 (32-bit)
Scientific notation
1.33868 × 10⁵
As a duration
133,868 s = 1 day, 13 hours, 11 minutes, 8 seconds
In other bases
ternary (3) 20210122002
quaternary (4) 200223230
quinary (5) 13240433
senary (6) 2511432
septenary (7) 1065200
nonary (9) 223562
undecimal (11) 91639
duodecimal (12) 65578
tridecimal (13) 48c17
tetradecimal (14) 36b00
pentadecimal (15) 299e8

As an angle

133,868° = 371 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγωξηʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋨
Chinese
一十三萬三千八百六十八
Chinese (financial)
壹拾參萬參仟捌佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٣٨٦٨ Devanagari १३३८६८ Bengali ১৩৩৮৬৮ Tamil ௧௩௩௮௬௮ Thai ๑๓๓๘๖๘ Tibetan ༡༣༣༨༦༨ Khmer ១៣៣៨៦៨ Lao ໑໓໓໘໖໘ Burmese ၁၃၃၈၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133868, here are decompositions:

  • 37 + 133831 = 133868
  • 67 + 133801 = 133868
  • 151 + 133717 = 133868
  • 157 + 133711 = 133868
  • 199 + 133669 = 133868
  • 211 + 133657 = 133868
  • 271 + 133597 = 133868
  • 349 + 133519 = 133868

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫬
CJK Unified Ideograph-20Aec
U+20AEC
Other letter (Lo)

UTF-8 encoding: F0 A0 AB AC (4 bytes).

Hex color
#020AEC
RGB(2, 10, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.236.

Address
0.2.10.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.236

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 133,868 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.