number.wiki
Live analysis

133,840

133,840 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.).

133,840 (one hundred thirty-three thousand eight hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 239. Its proper divisors sum to 223,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AD0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
48,331
Square (n²)
17,913,145,600
Cube (n³)
2,397,495,407,104,000
Divisor count
40
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
45,696
Sum of prime factors
259

Primality

Prime factorization: 2 4 × 5 × 7 × 239

Nearest primes: 133,831 (−9) · 133,843 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 239 · 280 · 478 · 560 · 956 · 1195 · 1673 · 1912 · 2390 · 3346 · 3824 · 4780 · 6692 · 8365 · 9560 · 13384 · 16730 · 19120 · 26768 · 33460 · 66920 (half) · 133840
Aliquot sum (sum of proper divisors): 223,280
Factor pairs (a × b = 133,840)
1 × 133840
2 × 66920
4 × 33460
5 × 26768
7 × 19120
8 × 16730
10 × 13384
14 × 9560
16 × 8365
20 × 6692
28 × 4780
35 × 3824
40 × 3346
56 × 2390
70 × 1912
80 × 1673
112 × 1195
140 × 956
239 × 560
280 × 478
First multiples
133,840 · 267,680 (double) · 401,520 · 535,360 · 669,200 · 803,040 · 936,880 · 1,070,720 · 1,204,560 · 1,338,400

Sums & aliquot sequence

As consecutive integers: 26,766 + 26,767 + 26,768 + 26,769 + 26,770 19,117 + 19,118 + … + 19,123 4,167 + 4,168 + … + 4,198 3,807 + 3,808 + … + 3,841
Aliquot sequence: 133,840 223,280 296,032 362,444 309,640 387,140 488,980 583,532 447,484 335,620 380,564 293,536 284,426 148,438 74,222 48,898 27,710 — unresolved within range

Continued fraction of √n

√133,840 = [365; (1, 5, 3, 4, 4, 2, 1, 2, 2, 1, 3, 1, 8, 1, 5, 3, 1, 80, 1, 1, 6, 11, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand eight hundred forty
Ordinal
133840th
Binary
100000101011010000
Octal
405320
Hexadecimal
0x20AD0
Base64
AgrQ
One's complement
4,294,833,455 (32-bit)
Scientific notation
1.3384 × 10⁵
As a duration
133,840 s = 1 day, 13 hours, 10 minutes, 40 seconds
In other bases
ternary (3) 20210121001
quaternary (4) 200223100
quinary (5) 13240330
senary (6) 2511344
septenary (7) 1065130
nonary (9) 223531
undecimal (11) 91613
duodecimal (12) 65554
tridecimal (13) 48bc5
tetradecimal (14) 36ac0
pentadecimal (15) 299ca

As an angle

133,840° = 371 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγωμʹ
Mayan (base 20)
𝋰·𝋮·𝋬·𝋠
Chinese
一十三萬三千八百四十
Chinese (financial)
壹拾參萬參仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٣٣٨٤٠ Devanagari १३३८४० Bengali ১৩৩৮৪০ Tamil ௧௩௩௮௪௦ Thai ๑๓๓๘๔๐ Tibetan ༡༣༣༨༤༠ Khmer ១៣៣៨៤០ Lao ໑໓໓໘໔໐ Burmese ၁၃၃၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133840, here are decompositions:

  • 29 + 133811 = 133840
  • 59 + 133781 = 133840
  • 71 + 133769 = 133840
  • 107 + 133733 = 133840
  • 131 + 133709 = 133840
  • 149 + 133691 = 133840
  • 167 + 133673 = 133840
  • 191 + 133649 = 133840

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫐
CJK Unified Ideograph-20Ad0
U+20AD0
Other letter (Lo)

UTF-8 encoding: F0 A0 AB 90 (4 bytes).

Hex color
#020AD0
RGB(2, 10, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.208.

Address
0.2.10.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.208

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 133,840 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