Live analysis

120,732

120,732 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.).

120,732 (one hundred twenty thousand seven hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,061. Its proper divisors sum to 161,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D79C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,720 120,721 120,722 120,723 120,724 120,725 120,726 120,727 120,728 120,729 120,730 120,731 120,732 120,733 120,734 120,735 120,736 120,737 120,738 120,739 120,740 120,741 120,742 120,743 120,744

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 237,021
Square (n²): 14,576,215,824
Cube (n³): 1,759,815,688,863,168
Divisor count: 12
σ(n) — sum of divisors: 281,736
φ(n) — Euler's totient: 40,240
Sum of prime factors: 10,068

Primality

Prime factorization: 2 ² × 3 × 10061

Nearest primes: 120,721 (−11) · 120,737 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 10061 · 20122 · 30183 · 40244 · 60366 (half) · 120732

Aliquot sum (sum of proper divisors): 161,004

Factor pairs (a × b = 120,732)

1 × 120732

2 × 60366

3 × 40244

4 × 30183

6 × 20122

12 × 10061

First multiples

120,732 · 241,464 (double) · 362,196 · 482,928 · 603,660 · 724,392 · 845,124 · 965,856 · 1,086,588 · 1,207,320

Sums & aliquot sequence

As consecutive integers: 40,243 + 40,244 + 40,245 15,088 + 15,089 + … + 15,095 5,019 + 5,020 + … + 5,042

Aliquot sequence: 120,732 → 161,004 → 214,700 → 280,060 → 405,380 → 445,960 → 557,540 → 635,092 → 483,788 → 362,848 → 453,632 → 455,236 → 341,434 → 187,334 → 133,834 → 70,394 → 37,114 — unresolved within range

Continued fraction of √n

√120,732 = [347; (2, 6, 1, 1, 1, 52, 1, 4, 7, 1, 3, 1, 2, 3, 1, 3, 14, 1, 1, 11, 1, 2, 13, 3, …)]

Representations

In words: one hundred twenty thousand seven hundred thirty-two
Ordinal: 120732nd
Binary: 11101011110011100
Octal: 353634
Hexadecimal: 0x1D79C
Base64: Adec
One's complement: 4,294,846,563 (32-bit)
Scientific notation: 1.20732 × 10⁵
As a duration: 120,732 s = 1 day, 9 hours, 32 minutes, 12 seconds

In other bases

ternary (3) 20010121120

quaternary (4) 131132130

quinary (5) 12330412

senary (6) 2330540

septenary (7) 1011663

nonary (9) 203546

undecimal (11) 82787

duodecimal (12) 59a50

tridecimal (13) 42c51

tetradecimal (14) 31dda

pentadecimal (15) 25b8c

As an angle

120,732° = 335 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρκψλβʹ
Mayan (base 20): 𝋯·𝋡·𝋰·𝋬
Chinese: 一十二萬零七百三十二
Chinese (financial): 壹拾貳萬零柒佰參拾貳

In other modern scripts

Eastern Arabic ١٢٠٧٣٢ Devanagari १२०७३२ Bengali ১২০৭৩২ Tamil ௧௨௦௭௩௨ Thai ๑๒๐๗๓๒ Tibetan ༡༢༠༧༣༢ Khmer ១២០៧៣២ Lao ໑໒໐໗໓໒ Burmese ၁၂၀၇၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120732, here are decompositions:

11 + 120721 = 120732
19 + 120713 = 120732
23 + 120709 = 120732
41 + 120691 = 120732
43 + 120689 = 120732
61 + 120671 = 120732
71 + 120661 = 120732
109 + 120623 = 120732

Showing the first eight; more decompositions exist.

Unicode codepoint

𝞜

Mathematical Sans-Serif Bold Italic Capital Nu

U+1D79C

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9E 9C (4 bytes).

Lookup U+1D79C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D79C

RGB(1, 215, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.156.

Address: 0.1.215.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.215.156

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 120,732 and was likely granted around 1871.

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

Look up US120,732 on Google Patents ↗ Look up on USPTO ↗