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133,952

133,952 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.).

133,952 (one hundred thirty-three thousand nine hundred fifty-two) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 7 × 13 × 23. Its proper divisors sum to 207,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B40.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Pentagonal Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
810
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
259,331
Square (n²)
17,943,138,304
Cube (n³)
2,403,519,262,097,408
Divisor count
56
σ(n) — sum of divisors
341,376
φ(n) — Euler's totient
50,688
Sum of prime factors
55

Primality

Prime factorization: 2 6 × 7 × 13 × 23

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

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 23 · 26 · 28 · 32 · 46 · 52 · 56 · 64 · 91 · 92 · 104 · 112 · 161 · 182 · 184 · 208 · 224 · 299 · 322 · 364 · 368 · 416 · 448 · 598 · 644 · 728 · 736 · 832 · 1196 · 1288 · 1456 · 1472 · 2093 · 2392 · 2576 · 2912 · 4186 · 4784 · 5152 · 5824 · 8372 · 9568 · 10304 · 16744 · 19136 · 33488 · 66976 (half) · 133952
Aliquot sum (sum of proper divisors): 207,424
Factor pairs (a × b = 133,952)
1 × 133952
2 × 66976
4 × 33488
7 × 19136
8 × 16744
13 × 10304
14 × 9568
16 × 8372
23 × 5824
26 × 5152
28 × 4784
32 × 4186
46 × 2912
52 × 2576
56 × 2392
64 × 2093
91 × 1472
92 × 1456
104 × 1288
112 × 1196
161 × 832
182 × 736
184 × 728
208 × 644
224 × 598
299 × 448
322 × 416
364 × 368
First multiples
133,952 · 267,904 (double) · 401,856 · 535,808 · 669,760 · 803,712 · 937,664 · 1,071,616 · 1,205,568 · 1,339,520

Sums & aliquot sequence

As consecutive integers: 19,133 + 19,134 + … + 19,139 10,298 + 10,299 + … + 10,310 5,813 + 5,814 + … + 5,835 1,427 + 1,428 + … + 1,517
Aliquot sequence: 133,952 207,424 264,000 686,976 1,138,824 1,945,686 1,993,578 1,993,590 3,498,858 4,992,534 5,824,662 5,824,674 6,884,958 7,483,938 11,482,590 20,013,090 28,018,398 — unresolved within range

Continued fraction of √n

√133,952 = [365; (1, 181, 1, 730)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred fifty-two
Ordinal
133952nd
Binary
100000101101000000
Octal
405500
Hexadecimal
0x20B40
Base64
AgtA
One's complement
4,294,833,343 (32-bit)
Scientific notation
1.33952 × 10⁵
As a duration
133,952 s = 1 day, 13 hours, 12 minutes, 32 seconds
In other bases
ternary (3) 20210202012
quaternary (4) 200231000
quinary (5) 13241302
senary (6) 2512052
septenary (7) 1065350
nonary (9) 223665
undecimal (11) 91705
duodecimal (12) 65628
tridecimal (13) 48c80
tetradecimal (14) 36b60
pentadecimal (15) 29a52

As an angle

133,952° = 372 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγϡνβʹ
Mayan (base 20)
𝋰·𝋮·𝋱·𝋬
Chinese
一十三萬三千九百五十二
Chinese (financial)
壹拾參萬參仟玖佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٣٩٥٢ Devanagari १३३९५२ Bengali ১৩৩৯৫২ Tamil ௧௩௩௯௫௨ Thai ๑๓๓๙๕๒ Tibetan ༡༣༣༩༥༢ Khmer ១៣៣៩៥២ Lao ໑໓໓໙໕໒ Burmese ၁၃၃၉၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133952, here are decompositions:

  • 3 + 133949 = 133952
  • 79 + 133873 = 133952
  • 109 + 133843 = 133952
  • 139 + 133813 = 133952
  • 151 + 133801 = 133952
  • 229 + 133723 = 133952
  • 241 + 133711 = 133952
  • 283 + 133669 = 133952

Showing the first eight; more decompositions exist.

Unicode codepoint
𠭀
CJK Unified Ideograph-20B40
U+20B40
Other letter (Lo)

UTF-8 encoding: F0 A0 AD 80 (4 bytes).

Hex color
#020B40
RGB(2, 11, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.64.

Address
0.2.11.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.64

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 133,952 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.