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134,964

134,964 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.).

134,964 (one hundred thirty-four thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 23 × 163. Its proper divisors sum to 223,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20F34.

Abundant Number Cube-Free Evil 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
469,431
Square (n²)
18,215,281,296
Cube (n³)
2,458,407,224,833,344
Divisor count
36
σ(n) — sum of divisors
358,176
φ(n) — Euler's totient
42,768
Sum of prime factors
196

Primality

Prime factorization: 2 2 × 3 2 × 23 × 163

Nearest primes: 134,951 (−13) · 134,989 (+25)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 36 · 46 · 69 · 92 · 138 · 163 · 207 · 276 · 326 · 414 · 489 · 652 · 828 · 978 · 1467 · 1956 · 2934 · 3749 · 5868 · 7498 · 11247 · 14996 · 22494 · 33741 · 44988 · 67482 (half) · 134964
Aliquot sum (sum of proper divisors): 223,212
Factor pairs (a × b = 134,964)
1 × 134964
2 × 67482
3 × 44988
4 × 33741
6 × 22494
9 × 14996
12 × 11247
18 × 7498
23 × 5868
36 × 3749
46 × 2934
69 × 1956
92 × 1467
138 × 978
163 × 828
207 × 652
276 × 489
326 × 414
First multiples
134,964 · 269,928 (double) · 404,892 · 539,856 · 674,820 · 809,784 · 944,748 · 1,079,712 · 1,214,676 · 1,349,640

Sums & aliquot sequence

As consecutive integers: 44,987 + 44,988 + 44,989 16,867 + 16,868 + … + 16,874 14,992 + 14,993 + … + 15,000 5,857 + 5,858 + … + 5,879
Aliquot sequence: 134,964 223,212 381,588 508,812 692,388 1,118,498 688,126 436,370 420,718 210,362 108,454 55,634 27,820 35,684 32,524 25,940 28,576 — unresolved within range

Continued fraction of √n

√134,964 = [367; (2, 1, 2, 29, 66, 1, 3, 5, 3, 1, 1, 1, 10, 5, 1, 45, 11, 1, 1, 1, 3, 1, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand nine hundred sixty-four
Ordinal
134964th
Binary
100000111100110100
Octal
407464
Hexadecimal
0x20F34
Base64
Ag80
One's complement
4,294,832,331 (32-bit)
Scientific notation
1.34964 × 10⁵
As a duration
134,964 s = 1 day, 13 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 20212010200
quaternary (4) 200330310
quinary (5) 13304324
senary (6) 2520500
septenary (7) 1101324
nonary (9) 225120
undecimal (11) 92445
duodecimal (12) 66130
tridecimal (13) 4957b
tetradecimal (14) 37284
pentadecimal (15) 29ec9

As an angle

134,964° = 374 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδϡξδʹ
Mayan (base 20)
𝋰·𝋱·𝋨·𝋤
Chinese
一十三萬四千九百六十四
Chinese (financial)
壹拾參萬肆仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٤٩٦٤ Devanagari १३४९६४ Bengali ১৩৪৯৬৪ Tamil ௧௩௪௯௬௪ Thai ๑๓๔๙๖๔ Tibetan ༡༣༤༩༦༤ Khmer ១៣៤៩៦៤ Lao ໑໓໔໙໖໔ Burmese ၁၃၄၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134964, here are decompositions:

  • 13 + 134951 = 134964
  • 17 + 134947 = 134964
  • 41 + 134923 = 134964
  • 43 + 134921 = 134964
  • 47 + 134917 = 134964
  • 97 + 134867 = 134964
  • 107 + 134857 = 134964
  • 113 + 134851 = 134964

Showing the first eight; more decompositions exist.

Unicode codepoint
𠼴
CJK Unified Ideograph-20F34
U+20F34
Other letter (Lo)

UTF-8 encoding: F0 A0 BC B4 (4 bytes).

Hex color
#020F34
RGB(2, 15, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.52.

Address
0.2.15.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.52

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 134,964 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

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