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133,600

133,600 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.).

133,600 (one hundred thirty-three thousand six hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 167. Its proper divisors sum to 194,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209E0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
6,331
Square (n²)
17,848,960,000
Cube (n³)
2,384,621,056,000,000
Divisor count
36
σ(n) — sum of divisors
328,104
φ(n) — Euler's totient
53,120
Sum of prime factors
187

Primality

Prime factorization: 2 5 × 5 2 × 167

Nearest primes: 133,597 (−3) · 133,631 (+31)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 160 · 167 · 200 · 334 · 400 · 668 · 800 · 835 · 1336 · 1670 · 2672 · 3340 · 4175 · 5344 · 6680 · 8350 · 13360 · 16700 · 26720 · 33400 · 66800 (half) · 133600
Aliquot sum (sum of proper divisors): 194,504
Factor pairs (a × b = 133,600)
1 × 133600
2 × 66800
4 × 33400
5 × 26720
8 × 16700
10 × 13360
16 × 8350
20 × 6680
25 × 5344
32 × 4175
40 × 3340
50 × 2672
80 × 1670
100 × 1336
160 × 835
167 × 800
200 × 668
334 × 400
First multiples
133,600 · 267,200 (double) · 400,800 · 534,400 · 668,000 · 801,600 · 935,200 · 1,068,800 · 1,202,400 · 1,336,000

Sums & aliquot sequence

As consecutive integers: 26,718 + 26,719 + 26,720 + 26,721 + 26,722 5,332 + 5,333 + … + 5,356 2,056 + 2,057 + … + 2,119 717 + 718 + … + 883
Aliquot sequence: 133,600 194,504 179,716 137,804 108,820 119,744 118,000 172,160 240,940 337,652 361,228 420,812 488,908 541,492 559,244 559,300 940,604 — unresolved within range

Continued fraction of √n

√133,600 = [365; (1, 1, 18, 4, 10, 20, 4, 1, 3, 1, 3, 1, 8, 2, 6, 8, 1, 6, 1, 2, 1, 1, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred
Ordinal
133600th
Binary
100000100111100000
Octal
404740
Hexadecimal
0x209E0
Base64
Agng
One's complement
4,294,833,695 (32-bit)
Scientific notation
1.336 × 10⁵
As a duration
133,600 s = 1 day, 13 hours, 6 minutes, 40 seconds
In other bases
ternary (3) 20210021011
quaternary (4) 200213200
quinary (5) 13233400
senary (6) 2510304
septenary (7) 1064335
nonary (9) 223234
undecimal (11) 91415
duodecimal (12) 65394
tridecimal (13) 48a6c
tetradecimal (14) 3698c
pentadecimal (15) 298ba

As an angle

133,600° = 371 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλγχʹ
Mayan (base 20)
𝋰·𝋮·𝋠·𝋠
Chinese
一十三萬三千六百
Chinese (financial)
壹拾參萬參仟陸佰
In other modern scripts
Eastern Arabic ١٣٣٦٠٠ Devanagari १३३६०० Bengali ১৩৩৬০০ Tamil ௧௩௩௬௦௦ Thai ๑๓๓๖๐๐ Tibetan ༡༣༣༦༠༠ Khmer ១៣៣៦០០ Lao ໑໓໓໖໐໐ Burmese ၁၃၃၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133600, here are decompositions:

  • 3 + 133597 = 133600
  • 17 + 133583 = 133600
  • 29 + 133571 = 133600
  • 41 + 133559 = 133600
  • 59 + 133541 = 133600
  • 101 + 133499 = 133600
  • 107 + 133493 = 133600
  • 149 + 133451 = 133600

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧠
CJK Unified Ideograph-209E0
U+209E0
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 A0 (4 bytes).

Hex color
#0209E0
RGB(2, 9, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.224.

Address
0.2.9.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.224

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 133,600 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