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134,460

134,460 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.).

134,460 (one hundred thirty-four thousand four hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 5 × 83. Its proper divisors sum to 292,428, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20D3C.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
64,431
Square (n²)
18,079,491,600
Cube (n³)
2,430,968,440,536,000
Divisor count
60
σ(n) — sum of divisors
426,888
φ(n) — Euler's totient
35,424
Sum of prime factors
104

Primality

Prime factorization: 2 2 × 3 4 × 5 × 83

Nearest primes: 134,443 (−17) · 134,471 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 36 · 45 · 54 · 60 · 81 · 83 · 90 · 108 · 135 · 162 · 166 · 180 · 249 · 270 · 324 · 332 · 405 · 415 · 498 · 540 · 747 · 810 · 830 · 996 · 1245 · 1494 · 1620 · 1660 · 2241 · 2490 · 2988 · 3735 · 4482 · 4980 · 6723 · 7470 · 8964 · 11205 · 13446 · 14940 · 22410 · 26892 · 33615 · 44820 · 67230 (half) · 134460
Aliquot sum (sum of proper divisors): 292,428
Factor pairs (a × b = 134,460)
1 × 134460
2 × 67230
3 × 44820
4 × 33615
5 × 26892
6 × 22410
9 × 14940
10 × 13446
12 × 11205
15 × 8964
18 × 7470
20 × 6723
27 × 4980
30 × 4482
36 × 3735
45 × 2988
54 × 2490
60 × 2241
81 × 1660
83 × 1620
90 × 1494
108 × 1245
135 × 996
162 × 830
166 × 810
180 × 747
249 × 540
270 × 498
324 × 415
332 × 405
First multiples
134,460 · 268,920 (double) · 403,380 · 537,840 · 672,300 · 806,760 · 941,220 · 1,075,680 · 1,210,140 · 1,344,600

Sums & aliquot sequence

As consecutive integers: 44,819 + 44,820 + 44,821 26,890 + 26,891 + 26,892 + 26,893 + 26,894 16,804 + 16,805 + … + 16,811 14,936 + 14,937 + … + 14,944
Aliquot sequence: 134,460 292,428 446,856 698,904 1,308,816 2,439,084 3,277,396 2,795,552 2,748,448 2,662,622 1,646,578 953,342 629,890 503,930 581,254 290,630 232,522 — unresolved within range

Continued fraction of √n

√134,460 = [366; (1, 2, 4, 1, 9, 1, 1, 14, 2, 3, 1, 5, 1, 19, 1, 1, 12, 1, 1, 2, 2, 17, 1, 11, …)]

Representations

In words
one hundred thirty-four thousand four hundred sixty
Ordinal
134460th
Binary
100000110100111100
Octal
406474
Hexadecimal
0x20D3C
Base64
Ag08
One's complement
4,294,832,835 (32-bit)
Scientific notation
1.3446 × 10⁵
As a duration
134,460 s = 1 day, 13 hours, 21 minutes
In other bases
ternary (3) 20211110000
quaternary (4) 200310330
quinary (5) 13300320
senary (6) 2514300
septenary (7) 1100004
nonary (9) 224400
undecimal (11) 92027
duodecimal (12) 65990
tridecimal (13) 49281
tetradecimal (14) 37004
pentadecimal (15) 29c90

As an angle

134,460° = 373 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδυξʹ
Mayan (base 20)
𝋰·𝋰·𝋣·𝋠
Chinese
一十三萬四千四百六十
Chinese (financial)
壹拾參萬肆仟肆佰陸拾
In other modern scripts
Eastern Arabic ١٣٤٤٦٠ Devanagari १३४४६० Bengali ১৩৪৪৬০ Tamil ௧௩௪௪௬௦ Thai ๑๓๔๔๖๐ Tibetan ༡༣༤༤༦༠ Khmer ១៣៤៤៦០ Lao ໑໓໔໔໖໐ Burmese ၁၃၄၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134460, here are decompositions:

  • 17 + 134443 = 134460
  • 23 + 134437 = 134460
  • 43 + 134417 = 134460
  • 59 + 134401 = 134460
  • 61 + 134399 = 134460
  • 89 + 134371 = 134460
  • 97 + 134363 = 134460
  • 101 + 134359 = 134460

Showing the first eight; more decompositions exist.

Unicode codepoint
𠴼
CJK Unified Ideograph-20D3C
U+20D3C
Other letter (Lo)

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

Hex color
#020D3C
RGB(2, 13, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.60.

Address
0.2.13.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.60

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 134,460 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 134460 first appears in π at position 497,663 of the decimal expansion (the 497,663ordinal-suffix:rd 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°.