Live analysis

132,672

132,672 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.).

132,672 (one hundred thirty-two thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 691. Its proper divisors sum to 218,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20640.

Abundant Number Evil Number Gapful Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

132,660 132,661 132,662 132,663 132,664 132,665 132,666 132,667 132,668 132,669 132,670 132,671 132,672 132,673 132,674 132,675 132,676 132,677 132,678 132,679 132,680 132,681 132,682 132,683 132,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 504
Digital root: 3
Palindrome: No
Bit width: 18 bits
Reversed: 276,231
Square (n²): 17,601,859,584
Cube (n³): 2,335,273,914,728,448
Divisor count: 28
σ(n) — sum of divisors: 351,536
φ(n) — Euler's totient: 44,160
Sum of prime factors: 706

Primality

Prime factorization: 2 ⁶ × 3 × 691

Nearest primes: 132,667 (−5) · 132,679 (+7)

Divisors & multiples

All divisors (28)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 192 · 691 · 1382 · 2073 · 2764 · 4146 · 5528 · 8292 · 11056 · 16584 · 22112 · 33168 · 44224 · 66336 (half) · 132672

Aliquot sum (sum of proper divisors): 218,864

Factor pairs (a × b = 132,672)

1 × 132672

2 × 66336

3 × 44224

4 × 33168

6 × 22112

8 × 16584

12 × 11056

16 × 8292

24 × 5528

32 × 4146

48 × 2764

64 × 2073

96 × 1382

192 × 691

First multiples

132,672 · 265,344 (double) · 398,016 · 530,688 · 663,360 · 796,032 · 928,704 · 1,061,376 · 1,194,048 · 1,326,720

Sums & aliquot sequence

As consecutive integers: 44,223 + 44,224 + 44,225 973 + 974 + … + 1,100 154 + 155 + … + 537

Aliquot sequence: 132,672 → 218,864 → 205,216 → 247,250 → 246,958 → 123,482 → 68,218 → 38,630 → 30,922 → 15,464 → 13,546 → 8,378 → 4,582 → 2,618 → 2,566 → 1,286 → 646 — unresolved within range

Continued fraction of √n

√132,672 = [364; (4, 7, 3, 1, 5, 2, 1, 3, 31, 2, 2, 21, 1, 2, 14, 1, 5, 5, 2, 1, 5, 1, 7, 14, …)]

Representations

In words: one hundred thirty-two thousand six hundred seventy-two
Ordinal: 132672nd
Binary: 100000011001000000
Octal: 403100
Hexadecimal: 0x20640
Base64: AgZA
One's complement: 4,294,834,623 (32-bit)
Scientific notation: 1.32672 × 10⁵
As a duration: 132,672 s = 1 day, 12 hours, 51 minutes, 12 seconds

In other bases

ternary (3) 20201222210

quaternary (4) 200121000

quinary (5) 13221142

senary (6) 2502120

septenary (7) 1061541

nonary (9) 221883

undecimal (11) 90751

duodecimal (12) 64940

tridecimal (13) 48507

tetradecimal (14) 364c8

pentadecimal (15) 2949c

As an angle

132,672° = 368 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρλβχοβʹ
Mayan (base 20): 𝋰·𝋫·𝋭·𝋬
Chinese: 一十三萬二千六百七十二
Chinese (financial): 壹拾參萬貳仟陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٣٢٦٧٢ Devanagari १३२६७२ Bengali ১৩২৬৭২ Tamil ௧௩௨௬௭௨ Thai ๑๓๒๖๗๒ Tibetan ༡༣༢༦༧༢ Khmer ១៣២៦៧២ Lao ໑໓໒໖໗໒ Burmese ၁၃၂၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132672, here are decompositions:

5 + 132667 = 132672
11 + 132661 = 132672
41 + 132631 = 132672
53 + 132619 = 132672
61 + 132611 = 132672
83 + 132589 = 132672
131 + 132541 = 132672
139 + 132533 = 132672

Showing the first eight; more decompositions exist.

Unicode codepoint

𠙀

CJK Unified Ideograph-20640

U+20640

Other letter (Lo)

UTF-8 encoding: F0 A0 99 80 (4 bytes).

Lookup U+20640 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#020640

RGB(2, 6, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.64.

Address: 0.2.6.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.6.64

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 132,672 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 US132,672 on Google Patents ↗ Look up on USPTO ↗