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120,536

120,536 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.).

120,536 (one hundred twenty thousand five hundred thirty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 19 × 61. Its proper divisors sum to 139,864, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6D8.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
635,021
Square (n²)
14,528,927,296
Cube (n³)
1,751,258,780,550,656
Divisor count
32
σ(n) — sum of divisors
260,400
φ(n) — Euler's totient
51,840
Sum of prime factors
99

Primality

Prime factorization: 2 3 × 13 × 19 × 61

Nearest primes: 120,511 (−25) · 120,539 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 19 · 26 · 38 · 52 · 61 · 76 · 104 · 122 · 152 · 244 · 247 · 488 · 494 · 793 · 988 · 1159 · 1586 · 1976 · 2318 · 3172 · 4636 · 6344 · 9272 · 15067 · 30134 · 60268 (half) · 120536
Aliquot sum (sum of proper divisors): 139,864
Factor pairs (a × b = 120,536)
1 × 120536
2 × 60268
4 × 30134
8 × 15067
13 × 9272
19 × 6344
26 × 4636
38 × 3172
52 × 2318
61 × 1976
76 × 1586
104 × 1159
122 × 988
152 × 793
244 × 494
247 × 488
First multiples
120,536 · 241,072 (double) · 361,608 · 482,144 · 602,680 · 723,216 · 843,752 · 964,288 · 1,084,824 · 1,205,360

Sums & aliquot sequence

As consecutive integers: 9,266 + 9,267 + … + 9,278 7,526 + 7,527 + … + 7,541 6,335 + 6,336 + … + 6,353 1,946 + 1,947 + … + 2,006
Aliquot sequence: 120,536 139,864 122,396 97,852 83,588 62,698 40,982 22,570 19,838 17,122 12,254 7,834 3,920 6,682 4,154 2,374 1,190 — unresolved within range

Continued fraction of √n

√120,536 = [347; (5, 2, 6, 1, 5, 1, 7, 27, 1, 1, 1, 5, 13, 5, 1, 1, 1, 27, 7, 1, 5, 1, 6, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred thirty-six
Ordinal
120536th
Binary
11101011011011000
Octal
353330
Hexadecimal
0x1D6D8
Base64
AdbY
One's complement
4,294,846,759 (32-bit)
Scientific notation
1.20536 × 10⁵
As a duration
120,536 s = 1 day, 9 hours, 28 minutes, 56 seconds
In other bases
ternary (3) 20010100022
quaternary (4) 131123120
quinary (5) 12324121
senary (6) 2330012
septenary (7) 1011263
nonary (9) 203308
undecimal (11) 82619
duodecimal (12) 59908
tridecimal (13) 42b30
tetradecimal (14) 31cda
pentadecimal (15) 25aab

As an angle

120,536° = 334 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκφλϛʹ
Mayan (base 20)
𝋯·𝋡·𝋦·𝋰
Chinese
一十二萬零五百三十六
Chinese (financial)
壹拾貳萬零伍佰參拾陸
In other modern scripts
Eastern Arabic ١٢٠٥٣٦ Devanagari १२०५३६ Bengali ১২০৫৩৬ Tamil ௧௨௦௫௩௬ Thai ๑๒๐๕๓๖ Tibetan ༡༢༠༥༣༦ Khmer ១២០៥៣៦ Lao ໑໒໐໕໓໖ Burmese ၁၂၀၅၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120536, here are decompositions:

  • 109 + 120427 = 120536
  • 139 + 120397 = 120536
  • 313 + 120223 = 120536
  • 337 + 120199 = 120536
  • 373 + 120163 = 120536
  • 379 + 120157 = 120536
  • 433 + 120103 = 120536
  • 439 + 120097 = 120536

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛘
Mathematical Bold Small Chi
U+1D6D8
Lowercase letter (Ll)

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

Hex color
#01D6D8
RGB(1, 214, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.216.

Address
0.1.214.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.216

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 120,536 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.