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134,040

134,040 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.).

134,040 (one hundred thirty-four thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 1,117. Its proper divisors sum to 268,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B98.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
40,431
Square (n²)
17,966,721,600
Cube (n³)
2,408,259,363,264,000
Divisor count
32
σ(n) — sum of divisors
402,480
φ(n) — Euler's totient
35,712
Sum of prime factors
1,131

Primality

Prime factorization: 2 3 × 3 × 5 × 1117

Nearest primes: 134,039 (−1) · 134,047 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 1117 · 2234 · 3351 · 4468 · 5585 · 6702 · 8936 · 11170 · 13404 · 16755 · 22340 · 26808 · 33510 · 44680 · 67020 (half) · 134040
Aliquot sum (sum of proper divisors): 268,440
Factor pairs (a × b = 134,040)
1 × 134040
2 × 67020
3 × 44680
4 × 33510
5 × 26808
6 × 22340
8 × 16755
10 × 13404
12 × 11170
15 × 8936
20 × 6702
24 × 5585
30 × 4468
40 × 3351
60 × 2234
120 × 1117
First multiples
134,040 · 268,080 (double) · 402,120 · 536,160 · 670,200 · 804,240 · 938,280 · 1,072,320 · 1,206,360 · 1,340,400

Sums & aliquot sequence

As consecutive integers: 44,679 + 44,680 + 44,681 26,806 + 26,807 + 26,808 + 26,809 + 26,810 8,929 + 8,930 + … + 8,943 8,370 + 8,371 + … + 8,385
Aliquot sequence: 134,040 268,440 537,240 1,282,200 2,694,480 5,816,880 14,226,480 33,553,200 73,932,728 73,714,072 73,435,928 64,256,452 56,842,344 118,952,856 232,501,104 519,379,344 1,106,974,896 — unresolved within range

Continued fraction of √n

√134,040 = [366; (8, 1, 2, 1, 1, 14, 2, 1, 2, 2, 1, 1, 3, 4, 18, 1, 1, 5, 1, 1, 6, 18, 6, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand forty
Ordinal
134040th
Binary
100000101110011000
Octal
405630
Hexadecimal
0x20B98
Base64
AguY
One's complement
4,294,833,255 (32-bit)
Scientific notation
1.3404 × 10⁵
As a duration
134,040 s = 1 day, 13 hours, 14 minutes
In other bases
ternary (3) 20210212110
quaternary (4) 200232120
quinary (5) 13242130
senary (6) 2512320
septenary (7) 1065534
nonary (9) 223773
undecimal (11) 91785
duodecimal (12) 656a0
tridecimal (13) 4901a
tetradecimal (14) 36bc4
pentadecimal (15) 29ab0

As an angle

134,040° = 372 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδμʹ
Mayan (base 20)
𝋰·𝋯·𝋢·𝋠
Chinese
一十三萬四千零四十
Chinese (financial)
壹拾參萬肆仟零肆拾
In other modern scripts
Eastern Arabic ١٣٤٠٤٠ Devanagari १३४०४० Bengali ১৩৪০৪০ Tamil ௧௩௪௦௪௦ Thai ๑๓๔๐๔๐ Tibetan ༡༣༤༠༤༠ Khmer ១៣៤០៤០ Lao ໑໓໔໐໔໐ Burmese ၁၃၄၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134040, here are decompositions:

  • 7 + 134033 = 134040
  • 41 + 133999 = 134040
  • 47 + 133993 = 134040
  • 59 + 133981 = 134040
  • 61 + 133979 = 134040
  • 73 + 133967 = 134040
  • 163 + 133877 = 134040
  • 167 + 133873 = 134040

Showing the first eight; more decompositions exist.

Unicode codepoint
𠮘
CJK Unified Ideograph-20B98
U+20B98
Other letter (Lo)

UTF-8 encoding: F0 A0 AE 98 (4 bytes).

Hex color
#020B98
RGB(2, 11, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.152.

Address
0.2.11.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.152

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 134,040 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.