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120,204

120,204 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.).

120,204 (one hundred twenty thousand two hundred four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 7 × 53. Its proper divisors sum to 245,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D58C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
402,021
Square (n²)
14,449,001,616
Cube (n³)
1,736,827,790,249,664
Divisor count
60
σ(n) — sum of divisors
365,904
φ(n) — Euler's totient
33,696
Sum of prime factors
76

Primality

Prime factorization: 2 2 × 3 4 × 7 × 53

Nearest primes: 120,199 (−5) · 120,209 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 53 · 54 · 63 · 81 · 84 · 106 · 108 · 126 · 159 · 162 · 189 · 212 · 252 · 318 · 324 · 371 · 378 · 477 · 567 · 636 · 742 · 756 · 954 · 1113 · 1134 · 1431 · 1484 · 1908 · 2226 · 2268 · 2862 · 3339 · 4293 · 4452 · 5724 · 6678 · 8586 · 10017 · 13356 · 17172 · 20034 · 30051 · 40068 · 60102 (half) · 120204
Aliquot sum (sum of proper divisors): 245,700
Factor pairs (a × b = 120,204)
1 × 120204
2 × 60102
3 × 40068
4 × 30051
6 × 20034
7 × 17172
9 × 13356
12 × 10017
14 × 8586
18 × 6678
21 × 5724
27 × 4452
28 × 4293
36 × 3339
42 × 2862
53 × 2268
54 × 2226
63 × 1908
81 × 1484
84 × 1431
106 × 1134
108 × 1113
126 × 954
159 × 756
162 × 742
189 × 636
212 × 567
252 × 477
318 × 378
324 × 371
First multiples
120,204 · 240,408 (double) · 360,612 · 480,816 · 601,020 · 721,224 · 841,428 · 961,632 · 1,081,836 · 1,202,040

Sums & aliquot sequence

As consecutive integers: 40,067 + 40,068 + 40,069 17,169 + 17,170 + … + 17,175 15,022 + 15,023 + … + 15,029 13,352 + 13,353 + … + 13,360
Aliquot sequence: 120,204 245,700 726,460 1,017,380 1,688,092 1,688,148 4,057,452 8,071,588 8,862,812 9,156,868 9,282,364 11,073,020 15,979,180 22,598,996 23,406,502 18,821,210 18,944,230 — unresolved within range

Continued fraction of √n

√120,204 = [346; (1, 2, 2, 1, 1, 1, 1, 7, 1, 17, 1, 5, 1, 76, 5, 3, 1, 1, 3, 8, 3, 1, 1, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand two hundred four
Ordinal
120204th
Binary
11101010110001100
Octal
352614
Hexadecimal
0x1D58C
Base64
AdWM
One's complement
4,294,847,091 (32-bit)
Scientific notation
1.20204 × 10⁵
As a duration
120,204 s = 1 day, 9 hours, 23 minutes, 24 seconds
In other bases
ternary (3) 20002220000
quaternary (4) 131112030
quinary (5) 12321304
senary (6) 2324300
septenary (7) 1010310
nonary (9) 202800
undecimal (11) 82347
duodecimal (12) 59690
tridecimal (13) 42936
tetradecimal (14) 31b40
pentadecimal (15) 25939

As an angle

120,204° = 333 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκσδʹ
Mayan (base 20)
𝋯·𝋠·𝋪·𝋤
Chinese
一十二萬零二百零四
Chinese (financial)
壹拾貳萬零貳佰零肆
In other modern scripts
Eastern Arabic ١٢٠٢٠٤ Devanagari १२०२०४ Bengali ১২০২০৪ Tamil ௧௨௦௨௦௪ Thai ๑๒๐๒๐๔ Tibetan ༡༢༠༢༠༤ Khmer ១២០២០៤ Lao ໑໒໐໒໐໔ Burmese ၁၂၀၂၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120204, here are decompositions:

  • 5 + 120199 = 120204
  • 11 + 120193 = 120204
  • 23 + 120181 = 120204
  • 37 + 120167 = 120204
  • 41 + 120163 = 120204
  • 47 + 120157 = 120204
  • 83 + 120121 = 120204
  • 101 + 120103 = 120204

Showing the first eight; more decompositions exist.

Unicode codepoint
𝖌
Mathematical Bold Fraktur Small G
U+1D58C
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 96 8C (4 bytes).

Hex color
#01D58C
RGB(1, 213, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.140.

Address
0.1.213.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.140

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 120,204 and was likely granted around 1871.

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

Position in π

The digit sequence 120204 first appears in π at position 915,654 of the decimal expansion (the 915,654ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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