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134,880

134,880 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.).

134,880 (one hundred thirty-four thousand eight hundred eighty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 281. Its proper divisors sum to 291,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20EE0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
88,431
Square (n²)
18,192,614,400
Cube (n³)
2,453,819,830,272,000
Divisor count
48
σ(n) — sum of divisors
426,384
φ(n) — Euler's totient
35,840
Sum of prime factors
299

Primality

Prime factorization: 2 5 × 3 × 5 × 281

Nearest primes: 134,873 (−7) · 134,887 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 281 · 480 · 562 · 843 · 1124 · 1405 · 1686 · 2248 · 2810 · 3372 · 4215 · 4496 · 5620 · 6744 · 8430 · 8992 · 11240 · 13488 · 16860 · 22480 · 26976 · 33720 · 44960 · 67440 (half) · 134880
Aliquot sum (sum of proper divisors): 291,504
Factor pairs (a × b = 134,880)
1 × 134880
2 × 67440
3 × 44960
4 × 33720
5 × 26976
6 × 22480
8 × 16860
10 × 13488
12 × 11240
15 × 8992
16 × 8430
20 × 6744
24 × 5620
30 × 4496
32 × 4215
40 × 3372
48 × 2810
60 × 2248
80 × 1686
96 × 1405
120 × 1124
160 × 843
240 × 562
281 × 480
First multiples
134,880 · 269,760 (double) · 404,640 · 539,520 · 674,400 · 809,280 · 944,160 · 1,079,040 · 1,213,920 · 1,348,800

Sums & aliquot sequence

As consecutive integers: 44,959 + 44,960 + 44,961 26,974 + 26,975 + 26,976 + 26,977 + 26,978 8,985 + 8,986 + … + 8,999 2,076 + 2,077 + … + 2,139
Aliquot sequence: 134,880 291,504 461,672 403,978 233,942 123,754 66,326 40,858 22,502 11,254 6,674 3,694 1,850 1,684 1,270 1,034 694 — unresolved within range

Continued fraction of √n

√134,880 = [367; (3, 1, 5, 2, 2, 1, 2, 1, 1, 3, 5, 1, 8, 2, 1, 14, 3, 4, 1, 2, 1, 5, 3, 183, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand eight hundred eighty
Ordinal
134880th
Binary
100000111011100000
Octal
407340
Hexadecimal
0x20EE0
Base64
Ag7g
One's complement
4,294,832,415 (32-bit)
Scientific notation
1.3488 × 10⁵
As a duration
134,880 s = 1 day, 13 hours, 28 minutes
In other bases
ternary (3) 20212000120
quaternary (4) 200323200
quinary (5) 13304010
senary (6) 2520240
septenary (7) 1101144
nonary (9) 225016
undecimal (11) 92379
duodecimal (12) 66080
tridecimal (13) 49515
tetradecimal (14) 37224
pentadecimal (15) 29e70

As an angle

134,880° = 374 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδωπʹ
Mayan (base 20)
𝋰·𝋱·𝋤·𝋠
Chinese
一十三萬四千八百八十
Chinese (financial)
壹拾參萬肆仟捌佰捌拾
In other modern scripts
Eastern Arabic ١٣٤٨٨٠ Devanagari १३४८८० Bengali ১৩৪৮৮০ Tamil ௧௩௪௮௮௦ Thai ๑๓๔๘๘๐ Tibetan ༡༣༤༨༨༠ Khmer ១៣៤៨៨០ Lao ໑໓໔໘໘໐ Burmese ၁၃၄၈၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134880, here are decompositions:

  • 7 + 134873 = 134880
  • 13 + 134867 = 134880
  • 23 + 134857 = 134880
  • 29 + 134851 = 134880
  • 41 + 134839 = 134880
  • 43 + 134837 = 134880
  • 73 + 134807 = 134880
  • 103 + 134777 = 134880

Showing the first eight; more decompositions exist.

Unicode codepoint
𠻠
CJK Unified Ideograph-20Ee0
U+20EE0
Other letter (Lo)

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

Hex color
#020EE0
RGB(2, 14, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.224.

Address
0.2.14.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.224

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 134,880 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 134880 first appears in π at position 190,246 of the decimal expansion (the 190,246ordinal-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°.