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134,760

134,760 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.).

134,760 (one hundred thirty-four thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,123. Its proper divisors sum to 269,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E68.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
67,431
Square (n²)
18,160,257,600
Cube (n³)
2,447,276,314,176,000
Divisor count
32
σ(n) — sum of divisors
404,640
φ(n) — Euler's totient
35,904
Sum of prime factors
1,137

Primality

Prime factorization: 2 3 × 3 × 5 × 1123

Nearest primes: 134,753 (−7) · 134,777 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1123 · 2246 · 3369 · 4492 · 5615 · 6738 · 8984 · 11230 · 13476 · 16845 · 22460 · 26952 · 33690 · 44920 · 67380 (half) · 134760
Aliquot sum (sum of proper divisors): 269,880
Factor pairs (a × b = 134,760)
1 × 134760
2 × 67380
3 × 44920
4 × 33690
5 × 26952
6 × 22460
8 × 16845
10 × 13476
12 × 11230
15 × 8984
20 × 6738
24 × 5615
30 × 4492
40 × 3369
60 × 2246
120 × 1123
First multiples
134,760 · 269,520 (double) · 404,280 · 539,040 · 673,800 · 808,560 · 943,320 · 1,078,080 · 1,212,840 · 1,347,600

Sums & aliquot sequence

As consecutive integers: 44,919 + 44,920 + 44,921 26,950 + 26,951 + 26,952 + 26,953 + 26,954 8,977 + 8,978 + … + 8,991 8,415 + 8,416 + … + 8,430
Aliquot sequence: 134,760 269,880 607,080 1,214,520 2,565,480 5,131,320 10,537,320 21,075,000 45,014,520 90,029,400 190,942,200 492,674,760 1,117,577,520 2,742,889,680 6,550,441,848 11,196,492,552 — keeps growing

Continued fraction of √n

√134,760 = [367; (10, 2, 1, 17, 1, 2, 10, 734)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand seven hundred sixty
Ordinal
134760th
Binary
100000111001101000
Octal
407150
Hexadecimal
0x20E68
Base64
Ag5o
One's complement
4,294,832,535 (32-bit)
Scientific notation
1.3476 × 10⁵
As a duration
134,760 s = 1 day, 13 hours, 26 minutes
In other bases
ternary (3) 20211212010
quaternary (4) 200321220
quinary (5) 13303020
senary (6) 2515520
septenary (7) 1100613
nonary (9) 224763
undecimal (11) 9227a
duodecimal (12) 65ba0
tridecimal (13) 49452
tetradecimal (14) 3717a
pentadecimal (15) 29de0

As an angle

134,760° = 374 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδψξʹ
Mayan (base 20)
𝋰·𝋰·𝋲·𝋠
Chinese
一十三萬四千七百六十
Chinese (financial)
壹拾參萬肆仟柒佰陸拾
In other modern scripts
Eastern Arabic ١٣٤٧٦٠ Devanagari १३४७६० Bengali ১৩৪৭৬০ Tamil ௧௩௪௭௬௦ Thai ๑๓๔๗๖๐ Tibetan ༡༣༤༧༦༠ Khmer ១៣៤៧៦០ Lao ໑໓໔໗໖໐ Burmese ၁၃၄၇၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134760, here are decompositions:

  • 7 + 134753 = 134760
  • 19 + 134741 = 134760
  • 29 + 134731 = 134760
  • 53 + 134707 = 134760
  • 61 + 134699 = 134760
  • 79 + 134681 = 134760
  • 83 + 134677 = 134760
  • 151 + 134609 = 134760

Showing the first eight; more decompositions exist.

Unicode codepoint
𠹨
CJK Unified Ideograph-20E68
U+20E68
Other letter (Lo)

UTF-8 encoding: F0 A0 B9 A8 (4 bytes).

Hex color
#020E68
RGB(2, 14, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.104.

Address
0.2.14.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.104

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 134,760 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 134760 first appears in π at position 706,263 of the decimal expansion (the 706,263ordinal-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°.