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133,428

133,428 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.).

133,428 (one hundred thirty-three thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,119. Its proper divisors sum to 177,932, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20934.

Abundant Number Cube-Free Evil Number Happy Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
824,331
Recamán's sequence
a(35,516) = 133,428
Square (n²)
17,803,031,184
Cube (n³)
2,375,422,844,818,752
Divisor count
12
σ(n) — sum of divisors
311,360
φ(n) — Euler's totient
44,472
Sum of prime factors
11,126

Primality

Prime factorization: 2 2 × 3 × 11119

Nearest primes: 133,417 (−11) · 133,439 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11119 · 22238 · 33357 · 44476 · 66714 (half) · 133428
Aliquot sum (sum of proper divisors): 177,932
Factor pairs (a × b = 133,428)
1 × 133428
2 × 66714
3 × 44476
4 × 33357
6 × 22238
12 × 11119
First multiples
133,428 · 266,856 (double) · 400,284 · 533,712 · 667,140 · 800,568 · 933,996 · 1,067,424 · 1,200,852 · 1,334,280

Sums & aliquot sequence

As consecutive integers: 44,475 + 44,476 + 44,477 16,675 + 16,676 + … + 16,682 5,548 + 5,549 + … + 5,571
Aliquot sequence: 133,428 177,932 133,456 139,344 220,752 513,328 481,276 360,964 316,412 237,316 183,804 280,380 504,852 673,164 1,154,676 1,539,596 1,173,604 — unresolved within range

Continued fraction of √n

√133,428 = [365; (3, 1, 1, 2, 15, 6, 2, 5, 2, 3, 18, 2, 3, 1, 7, 1, 11, 2, 65, 1, 14, 4, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand four hundred twenty-eight
Ordinal
133428th
Binary
100000100100110100
Octal
404464
Hexadecimal
0x20934
Base64
Agk0
One's complement
4,294,833,867 (32-bit)
Scientific notation
1.33428 × 10⁵
As a duration
133,428 s = 1 day, 13 hours, 3 minutes, 48 seconds
In other bases
ternary (3) 20210000210
quaternary (4) 200210310
quinary (5) 13232203
senary (6) 2505420
septenary (7) 1064001
nonary (9) 223023
undecimal (11) 91279
duodecimal (12) 65270
tridecimal (13) 48969
tetradecimal (14) 368a8
pentadecimal (15) 29803

As an angle

133,428° = 370 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγυκηʹ
Mayan (base 20)
𝋰·𝋭·𝋫·𝋨
Chinese
一十三萬三千四百二十八
Chinese (financial)
壹拾參萬參仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٤٢٨ Devanagari १३३४२८ Bengali ১৩৩৪২৮ Tamil ௧௩௩௪௨௮ Thai ๑๓๓๔๒๘ Tibetan ༡༣༣༤༢༨ Khmer ១៣៣៤២៨ Lao ໑໓໓໔໒໘ Burmese ၁၃၃၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133428, here are decompositions:

  • 11 + 133417 = 133428
  • 37 + 133391 = 133428
  • 41 + 133387 = 133428
  • 79 + 133349 = 133428
  • 101 + 133327 = 133428
  • 107 + 133321 = 133428
  • 109 + 133319 = 133428
  • 149 + 133279 = 133428

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤴
CJK Unified Ideograph-20934
U+20934
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 B4 (4 bytes).

Hex color
#020934
RGB(2, 9, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.52.

Address
0.2.9.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.52

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 133,428 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.