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133,460

133,460 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.).

133,460 (one hundred thirty-three thousand four hundred sixty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,673. Its proper divisors sum to 146,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20954.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
64,331
Recamán's sequence
a(35,580) = 133,460
Square (n²)
17,811,571,600
Cube (n³)
2,377,132,345,736,000
Divisor count
12
σ(n) — sum of divisors
280,308
φ(n) — Euler's totient
53,376
Sum of prime factors
6,682

Primality

Prime factorization: 2 2 × 5 × 6673

Nearest primes: 133,451 (−9) · 133,481 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6673 · 13346 · 26692 · 33365 · 66730 (half) · 133460
Aliquot sum (sum of proper divisors): 146,848
Factor pairs (a × b = 133,460)
1 × 133460
2 × 66730
4 × 33365
5 × 26692
10 × 13346
20 × 6673
First multiples
133,460 · 266,920 (double) · 400,380 · 533,840 · 667,300 · 800,760 · 934,220 · 1,067,680 · 1,201,140 · 1,334,600

Sums & aliquot sequence

As a sum of two squares: 82² + 356² = 148² + 334²
As consecutive integers: 26,690 + 26,691 + 26,692 + 26,693 + 26,694 16,679 + 16,680 + … + 16,686 3,317 + 3,318 + … + 3,356
Aliquot sequence: 133,460 146,848 165,380 181,960 227,540 267,052 200,296 175,274 121,942 70,658 54,142 39,170 31,354 16,634 8,320 13,100 15,544 — unresolved within range

Continued fraction of √n

√133,460 = [365; (3, 9, 3, 1, 1, 3, 2, 1, 1, 1, 2, 2, 2, 1, 44, 1, 22, 1, 1, 2, 4, 17, 1, 1, …)]

Representations

In words
one hundred thirty-three thousand four hundred sixty
Ordinal
133460th
Binary
100000100101010100
Octal
404524
Hexadecimal
0x20954
Base64
AglU
One's complement
4,294,833,835 (32-bit)
Scientific notation
1.3346 × 10⁵
As a duration
133,460 s = 1 day, 13 hours, 4 minutes, 20 seconds
In other bases
ternary (3) 20210001222
quaternary (4) 200211110
quinary (5) 13232320
senary (6) 2505512
septenary (7) 1064045
nonary (9) 223058
undecimal (11) 912a8
duodecimal (12) 65298
tridecimal (13) 48992
tetradecimal (14) 368cc
pentadecimal (15) 29825

As an angle

133,460° = 370 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγυξʹ
Mayan (base 20)
𝋰·𝋭·𝋭·𝋠
Chinese
一十三萬三千四百六十
Chinese (financial)
壹拾參萬參仟肆佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٤٦٠ Devanagari १३३४६० Bengali ১৩৩৪৬০ Tamil ௧௩௩௪௬௦ Thai ๑๓๓๔๖๐ Tibetan ༡༣༣༤༦༠ Khmer ១៣៣៤៦០ Lao ໑໓໓໔໖໐ Burmese ၁၃၃၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133460, here are decompositions:

  • 13 + 133447 = 133460
  • 43 + 133417 = 133460
  • 73 + 133387 = 133460
  • 109 + 133351 = 133460
  • 139 + 133321 = 133460
  • 157 + 133303 = 133460
  • 181 + 133279 = 133460
  • 199 + 133261 = 133460

Showing the first eight; more decompositions exist.

Unicode codepoint
𠥔
CJK Unified Ideograph-20954
U+20954
Other letter (Lo)

UTF-8 encoding: F0 A0 A5 94 (4 bytes).

Hex color
#020954
RGB(2, 9, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.84.

Address
0.2.9.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.84

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 133,460 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 133460 first appears in π at position 129,487 of the decimal expansion (the 129,487ordinal-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.