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120,328

120,328 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.).

120,328 (one hundred twenty thousand three hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 13² × 89. Its proper divisors sum to 126,722, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D608.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
823,021
Square (n²)
14,478,827,584
Cube (n³)
1,742,208,365,527,552
Divisor count
24
σ(n) — sum of divisors
247,050
φ(n) — Euler's totient
54,912
Sum of prime factors
121

Primality

Prime factorization: 2 3 × 13 2 × 89

Nearest primes: 120,319 (−9) · 120,331 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 89 · 104 · 169 · 178 · 338 · 356 · 676 · 712 · 1157 · 1352 · 2314 · 4628 · 9256 · 15041 · 30082 · 60164 (half) · 120328
Aliquot sum (sum of proper divisors): 126,722
Factor pairs (a × b = 120,328)
1 × 120328
2 × 60164
4 × 30082
8 × 15041
13 × 9256
26 × 4628
52 × 2314
89 × 1352
104 × 1157
169 × 712
178 × 676
338 × 356
First multiples
120,328 · 240,656 (double) · 360,984 · 481,312 · 601,640 · 721,968 · 842,296 · 962,624 · 1,082,952 · 1,203,280

Sums & aliquot sequence

As a sum of two squares: 58² + 342² = 78² + 338² = 202² + 282²
As consecutive integers: 9,250 + 9,251 + … + 9,262 7,513 + 7,514 + … + 7,528 1,308 + 1,309 + … + 1,396 628 + 629 + … + 796
Aliquot sequence: 120,328 126,722 63,364 69,244 69,300 201,516 336,084 560,364 962,220 2,263,380 5,429,676 9,449,300 13,986,700 25,385,780 35,940,940 50,317,652 64,255,660 — unresolved within range

Continued fraction of √n

√120,328 = [346; (1, 7, 1, 1, 3, 3, 1, 4, 1, 1, 1, 1, 2, 1, 7, 3, 1, 40, 19, 4, 19, 40, 1, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred twenty-eight
Ordinal
120328th
Binary
11101011000001000
Octal
353010
Hexadecimal
0x1D608
Base64
AdYI
One's complement
4,294,846,967 (32-bit)
Scientific notation
1.20328 × 10⁵
As a duration
120,328 s = 1 day, 9 hours, 25 minutes, 28 seconds
In other bases
ternary (3) 20010001121
quaternary (4) 131120020
quinary (5) 12322303
senary (6) 2325024
septenary (7) 1010545
nonary (9) 203047
undecimal (11) 8244a
duodecimal (12) 59774
tridecimal (13) 42a00
tetradecimal (14) 31bcc
pentadecimal (15) 259bd

As an angle

120,328° = 334 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκτκηʹ
Mayan (base 20)
𝋯·𝋠·𝋰·𝋨
Chinese
一十二萬零三百二十八
Chinese (financial)
壹拾貳萬零參佰貳拾捌
In other modern scripts
Eastern Arabic ١٢٠٣٢٨ Devanagari १२०३२८ Bengali ১২০৩২৮ Tamil ௧௨௦௩௨௮ Thai ๑๒๐๓๒๘ Tibetan ༡༢༠༣༢༨ Khmer ១២០៣២៨ Lao ໑໒໐໓໒໘ Burmese ၁၂၀၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120328, here are decompositions:

  • 29 + 120299 = 120328
  • 251 + 120077 = 120328
  • 281 + 120047 = 120328
  • 311 + 120017 = 120328
  • 317 + 120011 = 120328
  • 347 + 119981 = 120328
  • 479 + 119849 = 120328
  • 557 + 119771 = 120328

Showing the first eight; more decompositions exist.

Unicode codepoint
𝘈
Mathematical Sans-Serif Italic Capital A
U+1D608
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 98 88 (4 bytes).

Hex color
#01D608
RGB(1, 214, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.8.

Address
0.1.214.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.8

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 120,328 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