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133,960

133,960 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.).

133,960 (one hundred thirty-three thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 17 × 197. Its proper divisors sum to 186,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B48.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
69,331
Square (n²)
17,945,281,600
Cube (n³)
2,403,949,923,136,000
Divisor count
32
σ(n) — sum of divisors
320,760
φ(n) — Euler's totient
50,176
Sum of prime factors
225

Primality

Prime factorization: 2 3 × 5 × 17 × 197

Nearest primes: 133,949 (−11) · 133,963 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 197 · 340 · 394 · 680 · 788 · 985 · 1576 · 1970 · 3349 · 3940 · 6698 · 7880 · 13396 · 16745 · 26792 · 33490 · 66980 (half) · 133960
Aliquot sum (sum of proper divisors): 186,800
Factor pairs (a × b = 133,960)
1 × 133960
2 × 66980
4 × 33490
5 × 26792
8 × 16745
10 × 13396
17 × 7880
20 × 6698
34 × 3940
40 × 3349
68 × 1970
85 × 1576
136 × 985
170 × 788
197 × 680
340 × 394
First multiples
133,960 · 267,920 (double) · 401,880 · 535,840 · 669,800 · 803,760 · 937,720 · 1,071,680 · 1,205,640 · 1,339,600

Sums & aliquot sequence

As a sum of two squares: 2² + 366² = 54² + 362² = 174² + 322² = 218² + 294²
As consecutive integers: 26,790 + 26,791 + 26,792 + 26,793 + 26,794 8,365 + 8,366 + … + 8,380 7,872 + 7,873 + … + 7,888 1,635 + 1,636 + … + 1,714
Aliquot sequence: 133,960 186,800 262,948 263,004 468,132 780,444 1,607,396 1,744,204 2,134,076 2,166,724 2,166,780 5,647,236 10,695,804 17,826,564 31,783,164 55,243,524 92,072,764 — unresolved within range

Continued fraction of √n

√133,960 = [366; (183, 732)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred sixty
Ordinal
133960th
Binary
100000101101001000
Octal
405510
Hexadecimal
0x20B48
Base64
AgtI
One's complement
4,294,833,335 (32-bit)
Scientific notation
1.3396 × 10⁵
As a duration
133,960 s = 1 day, 13 hours, 12 minutes, 40 seconds
In other bases
ternary (3) 20210202111
quaternary (4) 200231020
quinary (5) 13241320
senary (6) 2512104
septenary (7) 1065361
nonary (9) 223674
undecimal (11) 91712
duodecimal (12) 65634
tridecimal (13) 48c88
tetradecimal (14) 36b68
pentadecimal (15) 29a5a

As an angle

133,960° = 372 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγϡξʹ
Mayan (base 20)
𝋰·𝋮·𝋲·𝋠
Chinese
一十三萬三千九百六十
Chinese (financial)
壹拾參萬參仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٩٦٠ Devanagari १३३९६० Bengali ১৩৩৯৬০ Tamil ௧௩௩௯௬௦ Thai ๑๓๓๙๖๐ Tibetan ༡༣༣༩༦༠ Khmer ១៣៣៩៦០ Lao ໑໓໓໙໖໐ Burmese ၁၃၃၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133960, here are decompositions:

  • 11 + 133949 = 133960
  • 41 + 133919 = 133960
  • 83 + 133877 = 133960
  • 107 + 133853 = 133960
  • 149 + 133811 = 133960
  • 179 + 133781 = 133960
  • 191 + 133769 = 133960
  • 227 + 133733 = 133960

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭈
CJK Unified Ideograph-20B48
U+20B48
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 88 (4 bytes).

Hex color
#020B48
RGB(2, 11, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.72.

Address
0.2.11.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.72

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 133,960 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 133960 first appears in π at position 321,356 of the decimal expansion (the 321,356ordinal-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