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120,336

120,336 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.).

120,336 (one hundred twenty thousand three hundred thirty-six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 23 × 109. Its proper divisors sum to 207,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D610.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
633,021
Square (n²)
14,480,752,896
Cube (n³)
1,742,555,880,493,056
Divisor count
40
σ(n) — sum of divisors
327,360
φ(n) — Euler's totient
38,016
Sum of prime factors
143

Primality

Prime factorization: 2 4 × 3 × 23 × 109

Nearest primes: 120,331 (−5) · 120,349 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 46 · 48 · 69 · 92 · 109 · 138 · 184 · 218 · 276 · 327 · 368 · 436 · 552 · 654 · 872 · 1104 · 1308 · 1744 · 2507 · 2616 · 5014 · 5232 · 7521 · 10028 · 15042 · 20056 · 30084 · 40112 · 60168 (half) · 120336
Aliquot sum (sum of proper divisors): 207,024
Factor pairs (a × b = 120,336)
1 × 120336
2 × 60168
3 × 40112
4 × 30084
6 × 20056
8 × 15042
12 × 10028
16 × 7521
23 × 5232
24 × 5014
46 × 2616
48 × 2507
69 × 1744
92 × 1308
109 × 1104
138 × 872
184 × 654
218 × 552
276 × 436
327 × 368
First multiples
120,336 · 240,672 (double) · 361,008 · 481,344 · 601,680 · 722,016 · 842,352 · 962,688 · 1,083,024 · 1,203,360

Sums & aliquot sequence

As consecutive integers: 40,111 + 40,112 + 40,113 5,221 + 5,222 + … + 5,243 3,745 + 3,746 + … + 3,776 1,710 + 1,711 + … + 1,778
Aliquot sequence: 120,336 207,024 358,416 705,504 1,146,696 1,720,104 2,580,216 3,870,384 7,557,456 12,223,024 14,324,384 13,876,810 11,101,466 5,550,736 6,177,587 690,253 30,035 — unresolved within range

Continued fraction of √n

√120,336 = [346; (1, 8, 1, 1, 45, 1, 2, 1, 1, 1, 8, 27, 1, 1, 1, 2, 1, 13, 1, 2, 1, 1, 1, 27, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred thirty-six
Ordinal
120336th
Binary
11101011000010000
Octal
353020
Hexadecimal
0x1D610
Base64
AdYQ
One's complement
4,294,846,959 (32-bit)
Scientific notation
1.20336 × 10⁵
As a duration
120,336 s = 1 day, 9 hours, 25 minutes, 36 seconds
In other bases
ternary (3) 20010001220
quaternary (4) 131120100
quinary (5) 12322321
senary (6) 2325040
septenary (7) 1010556
nonary (9) 203056
undecimal (11) 82457
duodecimal (12) 59780
tridecimal (13) 42a08
tetradecimal (14) 31bd6
pentadecimal (15) 259c6
Palindromic in base 5

As an angle

120,336° = 334 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκτλϛʹ
Mayan (base 20)
𝋯·𝋠·𝋰·𝋰
Chinese
一十二萬零三百三十六
Chinese (financial)
壹拾貳萬零參佰參拾陸
In other modern scripts
Eastern Arabic ١٢٠٣٣٦ Devanagari १२०३३६ Bengali ১২০৩৩৬ Tamil ௧௨௦௩௩௬ Thai ๑๒๐๓๓๖ Tibetan ༡༢༠༣༣༦ Khmer ១២០៣៣៦ Lao ໑໒໐໓໓໖ Burmese ၁၂၀၃၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120336, here are decompositions:

  • 5 + 120331 = 120336
  • 17 + 120319 = 120336
  • 37 + 120299 = 120336
  • 43 + 120293 = 120336
  • 53 + 120283 = 120336
  • 59 + 120277 = 120336
  • 89 + 120247 = 120336
  • 103 + 120233 = 120336

Showing the first eight; more decompositions exist.

Unicode codepoint
𝘐
Mathematical Sans-Serif Italic Capital I
U+1D610
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 98 90 (4 bytes).

Hex color
#01D610
RGB(1, 214, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.16.

Address
0.1.214.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.16

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 120,336 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°.