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133,490

133,490 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.).

133,490 (one hundred thirty-three thousand four hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 1,907. Its proper divisors sum to 141,262, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20972.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
94,331
Recamán's sequence
a(35,640) = 133,490
Square (n²)
17,819,580,100
Cube (n³)
2,378,735,747,549,000
Divisor count
16
σ(n) — sum of divisors
274,752
φ(n) — Euler's totient
45,744
Sum of prime factors
1,921

Primality

Prime factorization: 2 × 5 × 7 × 1907

Nearest primes: 133,481 (−9) · 133,493 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 1907 · 3814 · 9535 · 13349 · 19070 · 26698 · 66745 (half) · 133490
Aliquot sum (sum of proper divisors): 141,262
Factor pairs (a × b = 133,490)
1 × 133490
2 × 66745
5 × 26698
7 × 19070
10 × 13349
14 × 9535
35 × 3814
70 × 1907
First multiples
133,490 · 266,980 (double) · 400,470 · 533,960 · 667,450 · 800,940 · 934,430 · 1,067,920 · 1,201,410 · 1,334,900

Sums & aliquot sequence

As consecutive integers: 33,371 + 33,372 + 33,373 + 33,374 26,696 + 26,697 + 26,698 + 26,699 + 26,700 19,067 + 19,068 + … + 19,073 6,665 + 6,666 + … + 6,684
Aliquot sequence: 133,490 141,262 89,930 89,242 44,624 41,866 27,560 40,480 68,384 66,310 59,690 50,902 28,010 22,426 11,216 10,546 5,276 — unresolved within range

Continued fraction of √n

√133,490 = [365; (2, 1, 3, 10, 52, 10, 3, 1, 2, 730)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand four hundred ninety
Ordinal
133490th
Binary
100000100101110010
Octal
404562
Hexadecimal
0x20972
Base64
Agly
One's complement
4,294,833,805 (32-bit)
Scientific notation
1.3349 × 10⁵
As a duration
133,490 s = 1 day, 13 hours, 4 minutes, 50 seconds
In other bases
ternary (3) 20210010002
quaternary (4) 200211302
quinary (5) 13232430
senary (6) 2510002
septenary (7) 1064120
nonary (9) 223102
undecimal (11) 91325
duodecimal (12) 65302
tridecimal (13) 489b6
tetradecimal (14) 36910
pentadecimal (15) 29845

As an angle

133,490° = 370 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγυϟʹ
Mayan (base 20)
𝋰·𝋭·𝋮·𝋪
Chinese
一十三萬三千四百九十
Chinese (financial)
壹拾參萬參仟肆佰玖拾
In other modern scripts
Eastern Arabic ١٣٣٤٩٠ Devanagari १३३४९० Bengali ১৩৩৪৯০ Tamil ௧௩௩௪௯௦ Thai ๑๓๓๔๙๐ Tibetan ༡༣༣༤༩༠ Khmer ១៣៣៤៩០ Lao ໑໓໓໔໙໐ Burmese ၁၃၃၄၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133490, here are decompositions:

  • 43 + 133447 = 133490
  • 73 + 133417 = 133490
  • 103 + 133387 = 133490
  • 139 + 133351 = 133490
  • 163 + 133327 = 133490
  • 211 + 133279 = 133490
  • 229 + 133261 = 133490
  • 277 + 133213 = 133490

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥲
CJK Unified Ideograph-20972
U+20972
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 B2 (4 bytes).

Hex color
#020972
RGB(2, 9, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.114.

Address
0.2.9.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.114

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 133,490 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 133490 first appears in π at position 403,948 of the decimal expansion (the 403,948ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.