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133,950

133,950 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.).

133,950 (one hundred thirty-three thousand nine hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 19 × 47. Its proper divisors sum to 223,170, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B3E.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious 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
59,331
Square (n²)
17,942,602,500
Cube (n³)
2,403,411,604,875,000
Divisor count
48
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
33,120
Sum of prime factors
81

Primality

Prime factorization: 2 × 3 × 5 2 × 19 × 47

Nearest primes: 133,949 (−1) · 133,963 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 19 · 25 · 30 · 38 · 47 · 50 · 57 · 75 · 94 · 95 · 114 · 141 · 150 · 190 · 235 · 282 · 285 · 470 · 475 · 570 · 705 · 893 · 950 · 1175 · 1410 · 1425 · 1786 · 2350 · 2679 · 2850 · 3525 · 4465 · 5358 · 7050 · 8930 · 13395 · 22325 · 26790 · 44650 · 66975 (half) · 133950
Aliquot sum (sum of proper divisors): 223,170
Factor pairs (a × b = 133,950)
1 × 133950
2 × 66975
3 × 44650
5 × 26790
6 × 22325
10 × 13395
15 × 8930
19 × 7050
25 × 5358
30 × 4465
38 × 3525
47 × 2850
50 × 2679
57 × 2350
75 × 1786
94 × 1425
95 × 1410
114 × 1175
141 × 950
150 × 893
190 × 705
235 × 570
282 × 475
285 × 470
First multiples
133,950 · 267,900 (double) · 401,850 · 535,800 · 669,750 · 803,700 · 937,650 · 1,071,600 · 1,205,550 · 1,339,500

Sums & aliquot sequence

As consecutive integers: 44,649 + 44,650 + 44,651 33,486 + 33,487 + 33,488 + 33,489 26,788 + 26,789 + 26,790 + 26,791 + 26,792 11,157 + 11,158 + … + 11,168
Aliquot sequence: 133,950 223,170 328,062 439,170 614,910 882,690 1,235,838 1,248,018 1,248,030 2,539,962 3,041,562 3,183,558 4,147,002 4,838,208 8,134,080 18,505,440 45,887,616 — unresolved within range

Continued fraction of √n

√133,950 = [365; (1, 120, 1, 730)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred fifty
Ordinal
133950th
Binary
100000101100111110
Octal
405476
Hexadecimal
0x20B3E
Base64
Ags+
One's complement
4,294,833,345 (32-bit)
Scientific notation
1.3395 × 10⁵
As a duration
133,950 s = 1 day, 13 hours, 12 minutes, 30 seconds
In other bases
ternary (3) 20210202010
quaternary (4) 200230332
quinary (5) 13241300
senary (6) 2512050
septenary (7) 1065345
nonary (9) 223663
undecimal (11) 91703
duodecimal (12) 65626
tridecimal (13) 48c7b
tetradecimal (14) 36b5c
pentadecimal (15) 29a50

As an angle

133,950° = 372 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγϡνʹ
Mayan (base 20)
𝋰·𝋮·𝋱·𝋪
Chinese
一十三萬三千九百五十
Chinese (financial)
壹拾參萬參仟玖佰伍拾
In other modern scripts
Eastern Arabic ١٣٣٩٥٠ Devanagari १३३९५० Bengali ১৩৩৯৫০ Tamil ௧௩௩௯௫௦ Thai ๑๓๓๙๕๐ Tibetan ༡༣༣༩༥༠ Khmer ១៣៣៩៥០ Lao ໑໓໓໙໕໐ Burmese ၁၃၃၉၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133950, here are decompositions:

  • 31 + 133919 = 133950
  • 73 + 133877 = 133950
  • 97 + 133853 = 133950
  • 107 + 133843 = 133950
  • 137 + 133813 = 133950
  • 139 + 133811 = 133950
  • 149 + 133801 = 133950
  • 181 + 133769 = 133950

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬾
CJK Unified Ideograph-20B3E
U+20B3E
Other letter (Lo)

UTF-8 encoding: F0 A0 AC BE (4 bytes).

Hex color
#020B3E
RGB(2, 11, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.62.

Address
0.2.11.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.62

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 133,950 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 133950 first appears in π at position 420,275 of the decimal expansion (the 420,275ordinal-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

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