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120,432

120,432 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.).

120,432 (one hundred twenty thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 13 × 193. Its proper divisors sum to 216,352, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D670.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
234,021
Square (n²)
14,503,866,624
Cube (n³)
1,746,729,665,261,568
Divisor count
40
σ(n) — sum of divisors
336,784
φ(n) — Euler's totient
36,864
Sum of prime factors
217

Primality

Prime factorization: 2 4 × 3 × 13 × 193

Nearest primes: 120,431 (−1) · 120,473 (+41)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 16 · 24 · 26 · 39 · 48 · 52 · 78 · 104 · 156 · 193 · 208 · 312 · 386 · 579 · 624 · 772 · 1158 · 1544 · 2316 · 2509 · 3088 · 4632 · 5018 · 7527 · 9264 · 10036 · 15054 · 20072 · 30108 · 40144 · 60216 (half) · 120432
Aliquot sum (sum of proper divisors): 216,352
Factor pairs (a × b = 120,432)
1 × 120432
2 × 60216
3 × 40144
4 × 30108
6 × 20072
8 × 15054
12 × 10036
13 × 9264
16 × 7527
24 × 5018
26 × 4632
39 × 3088
48 × 2509
52 × 2316
78 × 1544
104 × 1158
156 × 772
193 × 624
208 × 579
312 × 386
First multiples
120,432 · 240,864 (double) · 361,296 · 481,728 · 602,160 · 722,592 · 843,024 · 963,456 · 1,083,888 · 1,204,320

Sums & aliquot sequence

As consecutive integers: 40,143 + 40,144 + 40,145 9,258 + 9,259 + … + 9,270 3,748 + 3,749 + … + 3,779 3,069 + 3,070 + … + 3,107
Aliquot sequence: 120,432 216,352 209,654 104,830 101,234 75,580 83,180 91,540 110,060 121,108 122,324 96,160 131,396 101,452 89,844 119,820 215,844 — unresolved within range

Continued fraction of √n

√120,432 = [347; (30, 5, 1, 2, 2, 1, 2, 1, 13, 1, 2, 1, 2, 2, 1, 5, 30, 694)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand four hundred thirty-two
Ordinal
120432nd
Binary
11101011001110000
Octal
353160
Hexadecimal
0x1D670
Base64
AdZw
One's complement
4,294,846,863 (32-bit)
Scientific notation
1.20432 × 10⁵
As a duration
120,432 s = 1 day, 9 hours, 27 minutes, 12 seconds
In other bases
ternary (3) 20010012110
quaternary (4) 131121300
quinary (5) 12323212
senary (6) 2325320
septenary (7) 1011054
nonary (9) 203173
undecimal (11) 82534
duodecimal (12) 59840
tridecimal (13) 42a80
tetradecimal (14) 31c64
pentadecimal (15) 25a3c

As an angle

120,432° = 334 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκυλβʹ
Mayan (base 20)
𝋯·𝋡·𝋡·𝋬
Chinese
一十二萬零四百三十二
Chinese (financial)
壹拾貳萬零肆佰參拾貳
In other modern scripts
Eastern Arabic ١٢٠٤٣٢ Devanagari १२०४३२ Bengali ১২০৪৩২ Tamil ௧௨௦௪௩௨ Thai ๑๒๐๔๓๒ Tibetan ༡༢༠༤༣༢ Khmer ១២០៤៣២ Lao ໑໒໐໔໓໒ Burmese ၁၂၀၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120432, here are decompositions:

  • 5 + 120427 = 120432
  • 19 + 120413 = 120432
  • 31 + 120401 = 120432
  • 41 + 120391 = 120432
  • 61 + 120371 = 120432
  • 83 + 120349 = 120432
  • 101 + 120331 = 120432
  • 113 + 120319 = 120432

Showing the first eight; more decompositions exist.

Unicode codepoint
𝙰
Mathematical Monospace Capital A
U+1D670
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 B0 (4 bytes).

Hex color
#01D670
RGB(1, 214, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.112.

Address
0.1.214.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.112

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 120,432 and was likely granted around 1871.

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

Related reading

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