Live analysis

133,940

133,940 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.).

133,940 (one hundred thirty-three thousand nine hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 37 × 181. Its proper divisors sum to 156,532, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B34.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

133,928 133,929 133,930 133,931 133,932 133,933 133,934 133,935 133,936 133,937 133,938 133,939 133,940 133,941 133,942 133,943 133,944 133,945 133,946 133,947 133,948 133,949 133,950 133,951 133,952

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Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 18 bits
Reversed: 49,331
Square (n²): 17,939,923,600
Cube (n³): 2,402,873,366,984,000
Divisor count: 24
σ(n) — sum of divisors: 290,472
φ(n) — Euler's totient: 51,840
Sum of prime factors: 227

Primality

Prime factorization: 2 ² × 5 × 37 × 181

Nearest primes: 133,919 (−21) · 133,949 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 37 · 74 · 148 · 181 · 185 · 362 · 370 · 724 · 740 · 905 · 1810 · 3620 · 6697 · 13394 · 26788 · 33485 · 66970 (half) · 133940

Aliquot sum (sum of proper divisors): 156,532

Factor pairs (a × b = 133,940)

1 × 133940

2 × 66970

4 × 33485

5 × 26788

10 × 13394

20 × 6697

37 × 3620

74 × 1810

148 × 905

181 × 740

185 × 724

362 × 370

First multiples

133,940 · 267,880 (double) · 401,820 · 535,760 · 669,700 · 803,640 · 937,580 · 1,071,520 · 1,205,460 · 1,339,400

Sums & aliquot sequence

As a sum of two squares: 38² + 364² = 76² + 358² = 154² + 332² = 188² + 314²

As consecutive integers: 26,786 + 26,787 + 26,788 + 26,789 + 26,790 16,739 + 16,740 + … + 16,746 3,602 + 3,603 + … + 3,638 3,329 + 3,330 + … + 3,368

Aliquot sequence: 133,940 → 156,532 → 117,406 → 62,594 → 51,454 → 31,706 → 16,678 → 9,242 → 4,624 → 4,893 → 2,595 → 1,581 → 723 → 245 → 97 → 1 → 0 — terminates at zero

Continued fraction of √n

√133,940 = [365; (1, 44, 1, 2, 1, 44, 1, 730)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty-three thousand nine hundred forty
Ordinal: 133940th
Binary: 100000101100110100
Octal: 405464
Hexadecimal: 0x20B34
Base64: Ags0
One's complement: 4,294,833,355 (32-bit)
Scientific notation: 1.3394 × 10⁵
As a duration: 133,940 s = 1 day, 13 hours, 12 minutes, 20 seconds

In other bases

ternary (3) 20210201202

quaternary (4) 200230310

quinary (5) 13241230

senary (6) 2512032

septenary (7) 1065332

nonary (9) 223652

undecimal (11) 916a4

duodecimal (12) 65618

tridecimal (13) 48c71

tetradecimal (14) 36b52

pentadecimal (15) 29a45

Palindromic in base 3

As an angle

133,940° = 372 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρλγϡμʹ
Mayan (base 20): 𝋰·𝋮·𝋱·𝋠
Chinese: 一十三萬三千九百四十
Chinese (financial): 壹拾參萬參仟玖佰肆拾

In other modern scripts

Eastern Arabic ١٣٣٩٤٠ Devanagari १३३९४० Bengali ১৩৩৯৪০ Tamil ௧௩௩௯௪௦ Thai ๑๓๓๙๔๐ Tibetan ༡༣༣༩༤༠ Khmer ១៣៣៩៤០ Lao ໑໓໓໙໔໐ Burmese ၁၃၃၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133940, here are decompositions:

67 + 133873 = 133940
97 + 133843 = 133940
109 + 133831 = 133940
127 + 133813 = 133940
139 + 133801 = 133940
223 + 133717 = 133940
229 + 133711 = 133940
271 + 133669 = 133940

Showing the first eight; more decompositions exist.

Unicode codepoint

𠬴

CJK Unified Ideograph-20B34

U+20B34

Other letter (Lo)

UTF-8 encoding: F0 A0 AC B4 (4 bytes).

Lookup U+20B34 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020B34

RGB(2, 11, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.52.

Address: 0.2.11.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.11.52

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 133,940 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US133,940 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 133940 first appears in π at position 259,202 of the decimal expansion (the 259,202ordinal-suffix:nd 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.

Look up 133940 on Pi Search ↗