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134,940

134,940 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.).

134,940 (one hundred thirty-four thousand nine hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 173. Its proper divisors sum to 274,308, more than the number itself, making it an abundant number. It is the 519th triangular number. Written other ways, in hexadecimal, 0x20F1C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Hexagonal Practical Number Semiperfect Number Triangular

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
49,431
Square (n²)
18,208,803,600
Cube (n³)
2,457,095,957,784,000
Divisor count
48
σ(n) — sum of divisors
409,248
φ(n) — Euler's totient
33,024
Sum of prime factors
198

Primality

Prime factorization: 2 2 × 3 × 5 × 13 × 173

Nearest primes: 134,923 (−17) · 134,947 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 130 · 156 · 173 · 195 · 260 · 346 · 390 · 519 · 692 · 780 · 865 · 1038 · 1730 · 2076 · 2249 · 2595 · 3460 · 4498 · 5190 · 6747 · 8996 · 10380 · 11245 · 13494 · 22490 · 26988 · 33735 · 44980 · 67470 (half) · 134940
Aliquot sum (sum of proper divisors): 274,308
Factor pairs (a × b = 134,940)
1 × 134940
2 × 67470
3 × 44980
4 × 33735
5 × 26988
6 × 22490
10 × 13494
12 × 11245
13 × 10380
15 × 8996
20 × 6747
26 × 5190
30 × 4498
39 × 3460
52 × 2595
60 × 2249
65 × 2076
78 × 1730
130 × 1038
156 × 865
173 × 780
195 × 692
260 × 519
346 × 390
First multiples
134,940 · 269,880 (double) · 404,820 · 539,760 · 674,700 · 809,640 · 944,580 · 1,079,520 · 1,214,460 · 1,349,400

Sums & aliquot sequence

As consecutive integers: 44,979 + 44,980 + 44,981 26,986 + 26,987 + 26,988 + 26,989 + 26,990 16,864 + 16,865 + … + 16,871 10,374 + 10,375 + … + 10,386
Aliquot sequence: 134,940 274,308 365,772 626,100 1,186,284 2,090,836 2,283,884 1,731,316 1,312,844 1,161,460 1,277,648 1,251,952 1,380,320 1,881,064 1,695,356 1,499,836 1,326,876 — unresolved within range

Continued fraction of √n

√134,940 = [367; (2, 1, 12, 2, 4, 1, 3, 3, 2, 17, 1, 14, 20, 1, 12, 5, 1, 182, 1, 5, 12, 1, 20, 14, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand nine hundred forty
Ordinal
134940th
Binary
100000111100011100
Octal
407434
Hexadecimal
0x20F1C
Base64
Ag8c
One's complement
4,294,832,355 (32-bit)
Scientific notation
1.3494 × 10⁵
As a duration
134,940 s = 1 day, 13 hours, 29 minutes
In other bases
ternary (3) 20212002210
quaternary (4) 200330130
quinary (5) 13304230
senary (6) 2520420
septenary (7) 1101261
nonary (9) 225083
undecimal (11) 92423
duodecimal (12) 66110
tridecimal (13) 49560
tetradecimal (14) 37268
pentadecimal (15) 29eb0

As an angle

134,940° = 374 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδϡμʹ
Mayan (base 20)
𝋰·𝋱·𝋧·𝋠
Chinese
一十三萬四千九百四十
Chinese (financial)
壹拾參萬肆仟玖佰肆拾
In other modern scripts
Eastern Arabic ١٣٤٩٤٠ Devanagari १३४९४० Bengali ১৩৪৯৪০ Tamil ௧௩௪௯௪௦ Thai ๑๓๔๙๔๐ Tibetan ༡༣༤༩༤༠ Khmer ១៣៤៩៤០ Lao ໑໓໔໙໔໐ Burmese ၁၃၄၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134940, here are decompositions:

  • 17 + 134923 = 134940
  • 19 + 134921 = 134940
  • 23 + 134917 = 134940
  • 31 + 134909 = 134940
  • 53 + 134887 = 134940
  • 67 + 134873 = 134940
  • 73 + 134867 = 134940
  • 83 + 134857 = 134940

Showing the first eight; more decompositions exist.

Unicode codepoint
𠼜
CJK Unified Ideograph-20F1C
U+20F1C
Other letter (Lo)

UTF-8 encoding: F0 A0 BC 9C (4 bytes).

Hex color
#020F1C
RGB(2, 15, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.15.28.

Address
0.2.15.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.15.28

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 134,940 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 134940 first appears in π at position 780,947 of the decimal expansion (the 780,947ordinal-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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.