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133,890

133,890 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.).

133,890 (one hundred thirty-three thousand eight hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,463. Its proper divisors sum to 187,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B02.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Self Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
98,331
Square (n²)
17,926,532,100
Cube (n³)
2,400,183,382,869,000
Divisor count
16
σ(n) — sum of divisors
321,408
φ(n) — Euler's totient
35,696
Sum of prime factors
4,473

Primality

Prime factorization: 2 × 3 × 5 × 4463

Nearest primes: 133,877 (−13) · 133,919 (+29)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4463 · 8926 · 13389 · 22315 · 26778 · 44630 · 66945 (half) · 133890
Aliquot sum (sum of proper divisors): 187,518
Factor pairs (a × b = 133,890)
1 × 133890
2 × 66945
3 × 44630
5 × 26778
6 × 22315
10 × 13389
15 × 8926
30 × 4463
First multiples
133,890 · 267,780 (double) · 401,670 · 535,560 · 669,450 · 803,340 · 937,230 · 1,071,120 · 1,205,010 · 1,338,900

Sums & aliquot sequence

As consecutive integers: 44,629 + 44,630 + 44,631 33,471 + 33,472 + 33,473 + 33,474 26,776 + 26,777 + 26,778 + 26,779 + 26,780 11,152 + 11,153 + … + 11,163
Aliquot sequence: 133,890 187,518 187,530 365,430 580,074 798,870 1,182,570 1,655,670 2,351,850 3,481,110 5,802,570 9,671,670 16,429,770 33,647,670 74,409,930 156,070,710 279,113,130 — unresolved within range

Continued fraction of √n

√133,890 = [365; (1, 10, 11, 5, 1, 22, 1, 3, 2, 1, 2, 5, 3, 3, 5, 1, 5, 1, 1, 2, 1, 2, 3, 7, …)]

Representations

In words
one hundred thirty-three thousand eight hundred ninety
Ordinal
133890th
Binary
100000101100000010
Octal
405402
Hexadecimal
0x20B02
Base64
AgsC
One's complement
4,294,833,405 (32-bit)
Scientific notation
1.3389 × 10⁵
As a duration
133,890 s = 1 day, 13 hours, 11 minutes, 30 seconds
In other bases
ternary (3) 20210122220
quaternary (4) 200230002
quinary (5) 13241030
senary (6) 2511510
septenary (7) 1065231
nonary (9) 223586
undecimal (11) 91659
duodecimal (12) 65596
tridecimal (13) 48c33
tetradecimal (14) 36b18
pentadecimal (15) 29a10
Palindromic in base 16

As an angle

133,890° = 371 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγωϟʹ
Mayan (base 20)
𝋰·𝋮·𝋮·𝋪
Chinese
一十三萬三千八百九十
Chinese (financial)
壹拾參萬參仟捌佰玖拾
In other modern scripts
Eastern Arabic ١٣٣٨٩٠ Devanagari १३३८९० Bengali ১৩৩৮৯০ Tamil ௧௩௩௮௯௦ Thai ๑๓๓๘๙๐ Tibetan ༡༣༣༨༩༠ Khmer ១៣៣៨៩០ Lao ໑໓໓໘໙໐ Burmese ၁၃၃၈၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133890, here are decompositions:

  • 13 + 133877 = 133890
  • 17 + 133873 = 133890
  • 37 + 133853 = 133890
  • 47 + 133843 = 133890
  • 59 + 133831 = 133890
  • 79 + 133811 = 133890
  • 89 + 133801 = 133890
  • 109 + 133781 = 133890

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬂
CJK Unified Ideograph-20B02
U+20B02
Other letter (Lo)

UTF-8 encoding: F0 A0 AC 82 (4 bytes).

Hex color
#020B02
RGB(2, 11, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.2.

Address
0.2.11.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.2

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 133,890 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 133890 first appears in π at position 293,562 of the decimal expansion (the 293,562ordinal-suffix:nd 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°.