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133,860

133,860 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.).

133,860 (one hundred thirty-three thousand eight hundred sixty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 23 × 97. Its proper divisors sum to 261,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AE4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
68,331
Square (n²)
17,918,499,600
Cube (n³)
2,398,570,356,456,000
Divisor count
48
σ(n) — sum of divisors
395,136
φ(n) — Euler's totient
33,792
Sum of prime factors
132

Primality

Prime factorization: 2 2 × 3 × 5 × 23 × 97

Nearest primes: 133,853 (−7) · 133,873 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 23 · 30 · 46 · 60 · 69 · 92 · 97 · 115 · 138 · 194 · 230 · 276 · 291 · 345 · 388 · 460 · 485 · 582 · 690 · 970 · 1164 · 1380 · 1455 · 1940 · 2231 · 2910 · 4462 · 5820 · 6693 · 8924 · 11155 · 13386 · 22310 · 26772 · 33465 · 44620 · 66930 (half) · 133860
Aliquot sum (sum of proper divisors): 261,276
Factor pairs (a × b = 133,860)
1 × 133860
2 × 66930
3 × 44620
4 × 33465
5 × 26772
6 × 22310
10 × 13386
12 × 11155
15 × 8924
20 × 6693
23 × 5820
30 × 4462
46 × 2910
60 × 2231
69 × 1940
92 × 1455
97 × 1380
115 × 1164
138 × 970
194 × 690
230 × 582
276 × 485
291 × 460
345 × 388
First multiples
133,860 · 267,720 (double) · 401,580 · 535,440 · 669,300 · 803,160 · 937,020 · 1,070,880 · 1,204,740 · 1,338,600

Sums & aliquot sequence

As consecutive integers: 44,619 + 44,620 + 44,621 26,770 + 26,771 + 26,772 + 26,773 + 26,774 16,729 + 16,730 + … + 16,736 8,917 + 8,918 + … + 8,931
Aliquot sequence: 133,860 261,276 348,396 464,556 619,436 511,876 396,696 595,104 967,296 1,847,904 3,003,096 4,561,944 6,937,896 13,239,384 20,119,656 30,647,544 48,044,376 — unresolved within range

Continued fraction of √n

√133,860 = [365; (1, 6, 1, 1, 1, 1, 1, 10, 1, 4, 3, 1, 1, 1, 2, 5, 1, 2, 66, 5, 1, 7, 1, 3, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand eight hundred sixty
Ordinal
133860th
Binary
100000101011100100
Octal
405344
Hexadecimal
0x20AE4
Base64
Agrk
One's complement
4,294,833,435 (32-bit)
Scientific notation
1.3386 × 10⁵
As a duration
133,860 s = 1 day, 13 hours, 11 minutes
In other bases
ternary (3) 20210121210
quaternary (4) 200223210
quinary (5) 13240420
senary (6) 2511420
septenary (7) 1065156
nonary (9) 223553
undecimal (11) 91631
duodecimal (12) 65570
tridecimal (13) 48c0c
tetradecimal (14) 36ad6
pentadecimal (15) 299e0

As an angle

133,860° = 371 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγωξʹ
Mayan (base 20)
𝋰·𝋮·𝋭·𝋠
Chinese
一十三萬三千八百六十
Chinese (financial)
壹拾參萬參仟捌佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٨٦٠ Devanagari १३३८६० Bengali ১৩৩৮৬০ Tamil ௧௩௩௮௬௦ Thai ๑๓๓๘๖๐ Tibetan ༡༣༣༨༦༠ Khmer ១៣៣៨៦០ Lao ໑໓໓໘໖໐ Burmese ၁၃၃၈၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133860, here are decompositions:

  • 7 + 133853 = 133860
  • 17 + 133843 = 133860
  • 29 + 133831 = 133860
  • 47 + 133813 = 133860
  • 59 + 133801 = 133860
  • 79 + 133781 = 133860
  • 127 + 133733 = 133860
  • 137 + 133723 = 133860

Showing the first eight; more decompositions exist.

Unicode codepoint
𠫤
CJK Unified Ideograph-20Ae4
U+20AE4
Other letter (Lo)

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

Hex color
#020AE4
RGB(2, 10, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.228.

Address
0.2.10.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.228

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 133,860 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 133860 first appears in π at position 192,103 of the decimal expansion (the 192,103ordinal-suffix:rd 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°.