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134,820

134,820 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.).

134,820 (one hundred thirty-four thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 107. Its proper divisors sum to 336,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20EA4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy 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
28,431
Square (n²)
18,176,432,400
Cube (n³)
2,450,546,616,168,000
Divisor count
72
σ(n) — sum of divisors
471,744
φ(n) — Euler's totient
30,528
Sum of prime factors
129

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 × 107

Nearest primes: 134,807 (−13) · 134,837 (+17)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 28 · 30 · 35 · 36 · 42 · 45 · 60 · 63 · 70 · 84 · 90 · 105 · 107 · 126 · 140 · 180 · 210 · 214 · 252 · 315 · 321 · 420 · 428 · 535 · 630 · 642 · 749 · 963 · 1070 · 1260 · 1284 · 1498 · 1605 · 1926 · 2140 · 2247 · 2996 · 3210 · 3745 · 3852 · 4494 · 4815 · 6420 · 6741 · 7490 · 8988 · 9630 · 11235 · 13482 · 14980 · 19260 · 22470 · 26964 · 33705 · 44940 · 67410 (half) · 134820
Aliquot sum (sum of proper divisors): 336,924
Factor pairs (a × b = 134,820)
1 × 134820
2 × 67410
3 × 44940
4 × 33705
5 × 26964
6 × 22470
7 × 19260
9 × 14980
10 × 13482
12 × 11235
14 × 9630
15 × 8988
18 × 7490
20 × 6741
21 × 6420
28 × 4815
30 × 4494
35 × 3852
36 × 3745
42 × 3210
45 × 2996
60 × 2247
63 × 2140
70 × 1926
84 × 1605
90 × 1498
105 × 1284
107 × 1260
126 × 1070
140 × 963
180 × 749
210 × 642
214 × 630
252 × 535
315 × 428
321 × 420
First multiples
134,820 · 269,640 (double) · 404,460 · 539,280 · 674,100 · 808,920 · 943,740 · 1,078,560 · 1,213,380 · 1,348,200

Sums & aliquot sequence

As consecutive integers: 44,939 + 44,940 + 44,941 26,962 + 26,963 + 26,964 + 26,965 + 26,966 19,257 + 19,258 + … + 19,263 16,849 + 16,850 + … + 16,856
Aliquot sequence: 134,820 336,924 658,980 1,629,852 2,716,644 4,527,964 5,148,836 6,288,604 6,412,196 7,901,404 8,412,964 8,413,020 23,455,908 45,520,818 63,052,878 84,423,858 84,545,358 — unresolved within range

Continued fraction of √n

√134,820 = [367; (5, 1, 1, 1, 1, 8, 2, 5, 1, 1, 2, 11, 12, 2, 1, 3, 1, 2, 36, 2, 1, 3, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand eight hundred twenty
Ordinal
134820th
Binary
100000111010100100
Octal
407244
Hexadecimal
0x20EA4
Base64
Ag6k
One's complement
4,294,832,475 (32-bit)
Scientific notation
1.3482 × 10⁵
As a duration
134,820 s = 1 day, 13 hours, 27 minutes
In other bases
ternary (3) 20211221100
quaternary (4) 200322210
quinary (5) 13303240
senary (6) 2520100
septenary (7) 1101030
nonary (9) 224840
undecimal (11) 92324
duodecimal (12) 66030
tridecimal (13) 4949a
tetradecimal (14) 371c0
pentadecimal (15) 29e30

As an angle

134,820° = 374 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλδωκʹ
Mayan (base 20)
𝋰·𝋱·𝋡·𝋠
Chinese
一十三萬四千八百二十
Chinese (financial)
壹拾參萬肆仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٣٤٨٢٠ Devanagari १३४८२० Bengali ১৩৪৮২০ Tamil ௧௩௪௮௨௦ Thai ๑๓๔๘๒๐ Tibetan ༡༣༤༨༢༠ Khmer ១៣៤៨២០ Lao ໑໓໔໘໒໐ Burmese ၁၃၄၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134820, here are decompositions:

  • 13 + 134807 = 134820
  • 31 + 134789 = 134820
  • 43 + 134777 = 134820
  • 67 + 134753 = 134820
  • 79 + 134741 = 134820
  • 89 + 134731 = 134820
  • 113 + 134707 = 134820
  • 137 + 134683 = 134820

Showing the first eight; more decompositions exist.

Unicode codepoint
𠺤
CJK Unified Ideograph-20Ea4
U+20EA4
Other letter (Lo)

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

Hex color
#020EA4
RGB(2, 14, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.164.

Address
0.2.14.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.164

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 134,820 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 134820 first appears in π at position 179,587 of the decimal expansion (the 179,587ordinal-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°.