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133,590

133,590 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.).

133,590 (one hundred thirty-three thousand five hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 61 × 73. Its proper divisors sum to 196,746, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209D6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Pronic / Oblong Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
95,331
Square (n²)
17,846,288,100
Cube (n³)
2,384,085,627,279,000
Divisor count
32
σ(n) — sum of divisors
330,336
φ(n) — Euler's totient
34,560
Sum of prime factors
144

Primality

Prime factorization: 2 × 3 × 5 × 61 × 73

Nearest primes: 133,583 (−7) · 133,597 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 61 · 73 · 122 · 146 · 183 · 219 · 305 · 365 · 366 · 438 · 610 · 730 · 915 · 1095 · 1830 · 2190 · 4453 · 8906 · 13359 · 22265 · 26718 · 44530 · 66795 (half) · 133590
Aliquot sum (sum of proper divisors): 196,746
Factor pairs (a × b = 133,590)
1 × 133590
2 × 66795
3 × 44530
5 × 26718
6 × 22265
10 × 13359
15 × 8906
30 × 4453
61 × 2190
73 × 1830
122 × 1095
146 × 915
183 × 730
219 × 610
305 × 438
365 × 366
First multiples
133,590 · 267,180 (double) · 400,770 · 534,360 · 667,950 · 801,540 · 935,130 · 1,068,720 · 1,202,310 · 1,335,900

Sums & aliquot sequence

As consecutive integers: 44,529 + 44,530 + 44,531 33,396 + 33,397 + 33,398 + 33,399 26,716 + 26,717 + 26,718 + 26,719 + 26,720 11,127 + 11,128 + … + 11,138
Aliquot sequence: 133,590 196,746 237,366 276,966 368,154 441,018 539,142 558,138 740,166 951,738 968,262 968,274 1,267,806 1,378,338 1,669,854 1,688,226 1,940,574 — unresolved within range

Continued fraction of √n

√133,590 = [365; (2, 730)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred ninety
Ordinal
133590th
Binary
100000100111010110
Octal
404726
Hexadecimal
0x209D6
Base64
AgnW
One's complement
4,294,833,705 (32-bit)
Scientific notation
1.3359 × 10⁵
As a duration
133,590 s = 1 day, 13 hours, 6 minutes, 30 seconds
In other bases
ternary (3) 20210020210
quaternary (4) 200213112
quinary (5) 13233330
senary (6) 2510250
septenary (7) 1064322
nonary (9) 223223
undecimal (11) 91406
duodecimal (12) 65386
tridecimal (13) 48a62
tetradecimal (14) 36982
pentadecimal (15) 298b0

As an angle

133,590° = 371 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγφϟʹ
Mayan (base 20)
𝋰·𝋭·𝋳·𝋪
Chinese
一十三萬三千五百九十
Chinese (financial)
壹拾參萬參仟伍佰玖拾
In other modern scripts
Eastern Arabic ١٣٣٥٩٠ Devanagari १३३५९० Bengali ১৩৩৫৯০ Tamil ௧௩௩௫௯௦ Thai ๑๓๓๕๙๐ Tibetan ༡༣༣༥༩༠ Khmer ១៣៣៥៩០ Lao ໑໓໓໕໙໐ Burmese ၁၃၃၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133590, here are decompositions:

  • 7 + 133583 = 133590
  • 19 + 133571 = 133590
  • 31 + 133559 = 133590
  • 47 + 133543 = 133590
  • 71 + 133519 = 133590
  • 97 + 133493 = 133590
  • 109 + 133481 = 133590
  • 139 + 133451 = 133590

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧖
CJK Unified Ideograph-209D6
U+209D6
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 96 (4 bytes).

Hex color
#0209D6
RGB(2, 9, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.214.

Address
0.2.9.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.214

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 133,590 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 133590 first appears in π at position 557,406 of the decimal expansion (the 557,406ordinal-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°.