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120,404

120,404 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.).

120,404 (one hundred twenty thousand four hundred four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 31 × 971. Written other ways, in hexadecimal, 0x1D654.

Arithmetic Number Cube-Free Deficient Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
404,021
Square (n²)
14,497,123,216
Cube (n³)
1,745,511,623,699,264
Divisor count
12
σ(n) — sum of divisors
217,728
φ(n) — Euler's totient
58,200
Sum of prime factors
1,006

Primality

Prime factorization: 2 2 × 31 × 971

Nearest primes: 120,401 (−3) · 120,413 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 31 · 62 · 124 · 971 · 1942 · 3884 · 30101 · 60202 (half) · 120404
Aliquot sum (sum of proper divisors): 97,324
Factor pairs (a × b = 120,404)
1 × 120404
2 × 60202
4 × 30101
31 × 3884
62 × 1942
124 × 971
First multiples
120,404 · 240,808 (double) · 361,212 · 481,616 · 602,020 · 722,424 · 842,828 · 963,232 · 1,083,636 · 1,204,040

Sums & aliquot sequence

As consecutive integers: 15,047 + 15,048 + … + 15,054 3,869 + 3,870 + … + 3,899 362 + 363 + … + 609
Aliquot sequence: 120,404 97,324 79,076 62,296 63,704 55,756 44,036 34,504 33,896 33,304 32,216 28,204 25,724 20,476 15,364 12,860 14,188 — unresolved within range

Continued fraction of √n

√120,404 = [346; (1, 137, 1, 3, 1, 26, 1, 23, 1, 4, 1, 1, 2, 4, 1, 1, 3, 2, 1, 1, 4, 2, 2, 13, …)]

Representations

In words
one hundred twenty thousand four hundred four
Ordinal
120404th
Binary
11101011001010100
Octal
353124
Hexadecimal
0x1D654
Base64
AdZU
One's complement
4,294,846,891 (32-bit)
Scientific notation
1.20404 × 10⁵
As a duration
120,404 s = 1 day, 9 hours, 26 minutes, 44 seconds
In other bases
ternary (3) 20010011102
quaternary (4) 131121110
quinary (5) 12323104
senary (6) 2325232
septenary (7) 1011014
nonary (9) 203142
undecimal (11) 82509
duodecimal (12) 59818
tridecimal (13) 42a5b
tetradecimal (14) 31c44
pentadecimal (15) 25a1e
Palindromic in base 6

As an angle

120,404° = 334 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκυδʹ
Mayan (base 20)
𝋯·𝋡·𝋠·𝋤
Chinese
一十二萬零四百零四
Chinese (financial)
壹拾貳萬零肆佰零肆
In other modern scripts
Eastern Arabic ١٢٠٤٠٤ Devanagari १२०४०४ Bengali ১২০৪০৪ Tamil ௧௨௦௪௦௪ Thai ๑๒๐๔๐๔ Tibetan ༡༢༠༤༠༤ Khmer ១២០៤០៤ Lao ໑໒໐໔໐໔ Burmese ၁၂၀၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120404, here are decompositions:

  • 3 + 120401 = 120404
  • 7 + 120397 = 120404
  • 13 + 120391 = 120404
  • 73 + 120331 = 120404
  • 127 + 120277 = 120404
  • 157 + 120247 = 120404
  • 181 + 120223 = 120404
  • 211 + 120193 = 120404

Showing the first eight; more decompositions exist.

Unicode codepoint
𝙔
Mathematical Sans-Serif Bold Italic Capital Y
U+1D654
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 94 (4 bytes).

Hex color
#01D654
RGB(1, 214, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.84.

Address
0.1.214.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.84

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 120,404 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.