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133,392

133,392 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.).

133,392 (one hundred thirty-three thousand three hundred ninety-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 397. Its proper divisors sum to 261,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20910.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
486
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
293,331
Recamán's sequence
a(35,444) = 133,392
Square (n²)
17,793,425,664
Cube (n³)
2,373,500,636,172,288
Divisor count
40
σ(n) — sum of divisors
394,816
φ(n) — Euler's totient
38,016
Sum of prime factors
415

Primality

Prime factorization: 2 4 × 3 × 7 × 397

Nearest primes: 133,391 (−1) · 133,403 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 397 · 794 · 1191 · 1588 · 2382 · 2779 · 3176 · 4764 · 5558 · 6352 · 8337 · 9528 · 11116 · 16674 · 19056 · 22232 · 33348 · 44464 · 66696 (half) · 133392
Aliquot sum (sum of proper divisors): 261,424
Factor pairs (a × b = 133,392)
1 × 133392
2 × 66696
3 × 44464
4 × 33348
6 × 22232
7 × 19056
8 × 16674
12 × 11116
14 × 9528
16 × 8337
21 × 6352
24 × 5558
28 × 4764
42 × 3176
48 × 2779
56 × 2382
84 × 1588
112 × 1191
168 × 794
336 × 397
First multiples
133,392 · 266,784 (double) · 400,176 · 533,568 · 666,960 · 800,352 · 933,744 · 1,067,136 · 1,200,528 · 1,333,920

Sums & aliquot sequence

As consecutive integers: 44,463 + 44,464 + 44,465 19,053 + 19,054 + … + 19,059 6,342 + 6,343 + … + 6,362 4,153 + 4,154 + … + 4,184
Aliquot sequence: 133,392 261,424 245,116 187,316 140,494 71,906 37,114 32,582 20,770 18,398 9,202 5,054 4,090 3,290 3,622 1,814 910 — unresolved within range

Continued fraction of √n

√133,392 = [365; (4, 2, 1, 2, 6, 4, 1, 3, 1, 1, 14, 1, 59, 1, 14, 1, 1, 3, 1, 4, 6, 2, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand three hundred ninety-two
Ordinal
133392nd
Binary
100000100100010000
Octal
404420
Hexadecimal
0x20910
Base64
AgkQ
One's complement
4,294,833,903 (32-bit)
Scientific notation
1.33392 × 10⁵
As a duration
133,392 s = 1 day, 13 hours, 3 minutes, 12 seconds
In other bases
ternary (3) 20202222110
quaternary (4) 200210100
quinary (5) 13232032
senary (6) 2505320
septenary (7) 1063620
nonary (9) 222873
undecimal (11) 91246
duodecimal (12) 65240
tridecimal (13) 4893c
tetradecimal (14) 36880
pentadecimal (15) 297cc

As an angle

133,392° = 370 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτϟβʹ
Mayan (base 20)
𝋰·𝋭·𝋩·𝋬
Chinese
一十三萬三千三百九十二
Chinese (financial)
壹拾參萬參仟參佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٣٣٩٢ Devanagari १३३३९२ Bengali ১৩৩৩৯২ Tamil ௧௩௩௩௯௨ Thai ๑๓๓๓๙๒ Tibetan ༡༣༣༣༩༢ Khmer ១៣៣៣៩២ Lao ໑໓໓໓໙໒ Burmese ၁၃၃၃၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133392, here are decompositions:

  • 5 + 133387 = 133392
  • 13 + 133379 = 133392
  • 41 + 133351 = 133392
  • 43 + 133349 = 133392
  • 71 + 133321 = 133392
  • 73 + 133319 = 133392
  • 89 + 133303 = 133392
  • 109 + 133283 = 133392

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤐
CJK Unified Ideograph-20910
U+20910
Other letter (Lo)

UTF-8 encoding: F0 A0 A4 90 (4 bytes).

Hex color
#020910
RGB(2, 9, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.16.

Address
0.2.9.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.16

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 133,392 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°.