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134,064

134,064 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.).

134,064 (one hundred thirty-four thousand sixty-four) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 7² × 19. Its proper divisors sum to 325,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20BB0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
460,431
Square (n²)
17,973,156,096
Cube (n³)
2,409,553,198,854,144
Divisor count
90
σ(n) — sum of divisors
459,420
φ(n) — Euler's totient
36,288
Sum of prime factors
47

Primality

Prime factorization: 2 4 × 3 2 × 7 2 × 19

Nearest primes: 134,059 (−5) · 134,077 (+13)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 19 · 21 · 24 · 28 · 36 · 38 · 42 · 48 · 49 · 56 · 57 · 63 · 72 · 76 · 84 · 98 · 112 · 114 · 126 · 133 · 144 · 147 · 152 · 168 · 171 · 196 · 228 · 252 · 266 · 294 · 304 · 336 · 342 · 392 · 399 · 441 · 456 · 504 · 532 · 588 · 684 · 784 · 798 · 882 · 912 · 931 · 1008 · 1064 · 1176 · 1197 · 1368 · 1596 · 1764 · 1862 · 2128 · 2352 · 2394 · 2736 · 2793 · 3192 · 3528 · 3724 · 4788 · 5586 · 6384 · 7056 · 7448 · 8379 · 9576 · 11172 · 14896 · 16758 · 19152 · 22344 · 33516 · 44688 · 67032 (half) · 134064
Aliquot sum (sum of proper divisors): 325,356
Factor pairs (a × b = 134,064)
1 × 134064
2 × 67032
3 × 44688
4 × 33516
6 × 22344
7 × 19152
8 × 16758
9 × 14896
12 × 11172
14 × 9576
16 × 8379
18 × 7448
19 × 7056
21 × 6384
24 × 5586
28 × 4788
36 × 3724
38 × 3528
42 × 3192
48 × 2793
49 × 2736
56 × 2394
57 × 2352
63 × 2128
72 × 1862
76 × 1764
84 × 1596
98 × 1368
112 × 1197
114 × 1176
126 × 1064
133 × 1008
144 × 931
147 × 912
152 × 882
168 × 798
171 × 784
196 × 684
228 × 588
252 × 532
266 × 504
294 × 456
304 × 441
336 × 399
342 × 392
First multiples
134,064 · 268,128 (double) · 402,192 · 536,256 · 670,320 · 804,384 · 938,448 · 1,072,512 · 1,206,576 · 1,340,640

Sums & aliquot sequence

As consecutive integers: 44,687 + 44,688 + 44,689 19,149 + 19,150 + … + 19,155 14,892 + 14,893 + … + 14,900 7,047 + 7,048 + … + 7,065
Aliquot sequence: 134,064 325,356 474,324 696,300 1,511,892 2,408,108 2,016,004 1,512,010 1,209,626 769,798 393,002 196,504 282,296 331,264 331,640 414,640 576,368 — unresolved within range

Continued fraction of √n

√134,064 = [366; (6, 1, 3, 1, 1, 8, 2, 14, 2, 8, 1, 1, 3, 1, 6, 732)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand sixty-four
Ordinal
134064th
Binary
100000101110110000
Octal
405660
Hexadecimal
0x20BB0
Base64
Aguw
One's complement
4,294,833,231 (32-bit)
Scientific notation
1.34064 × 10⁵
As a duration
134,064 s = 1 day, 13 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 20210220100
quaternary (4) 200232300
quinary (5) 13242224
senary (6) 2512400
septenary (7) 1065600
nonary (9) 223810
undecimal (11) 917a7
duodecimal (12) 65700
tridecimal (13) 49038
tetradecimal (14) 36c00
pentadecimal (15) 29ac9

As an angle

134,064° = 372 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδξδʹ
Mayan (base 20)
𝋰·𝋯·𝋣·𝋤
Chinese
一十三萬四千零六十四
Chinese (financial)
壹拾參萬肆仟零陸拾肆
In other modern scripts
Eastern Arabic ١٣٤٠٦٤ Devanagari १३४०६४ Bengali ১৩৪০৬৪ Tamil ௧௩௪௦௬௪ Thai ๑๓๔๐๖๔ Tibetan ༡༣༤༠༦༤ Khmer ១៣៤០៦៤ Lao ໑໓໔໐໖໔ Burmese ၁၃၄၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134064, here are decompositions:

  • 5 + 134059 = 134064
  • 11 + 134053 = 134064
  • 17 + 134047 = 134064
  • 31 + 134033 = 134064
  • 71 + 133993 = 134064
  • 83 + 133981 = 134064
  • 97 + 133967 = 134064
  • 101 + 133963 = 134064

Showing the first eight; more decompositions exist.

Unicode codepoint
𠮰
CJK Unified Ideograph-20Bb0
U+20BB0
Other letter (Lo)

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

Hex color
#020BB0
RGB(2, 11, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.176.

Address
0.2.11.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.176

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 134,064 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 134064 first appears in π at position 473,614 of the decimal expansion (the 473,614ordinal-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°.