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120,016

120,016 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.).

120,016 (one hundred twenty thousand sixteen) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 577. Its proper divisors sum to 130,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4D0.

Abundant Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
610,021
Recamán's sequence
a(240,064) = 120,016
Square (n²)
14,403,840,256
Cube (n³)
1,728,691,292,164,096
Divisor count
20
σ(n) — sum of divisors
250,852
φ(n) — Euler's totient
55,296
Sum of prime factors
598

Primality

Prime factorization: 2 4 × 13 × 577

Nearest primes: 120,011 (−5) · 120,017 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 577 · 1154 · 2308 · 4616 · 7501 · 9232 · 15002 · 30004 · 60008 (half) · 120016
Aliquot sum (sum of proper divisors): 130,836
Factor pairs (a × b = 120,016)
1 × 120016
2 × 60008
4 × 30004
8 × 15002
13 × 9232
16 × 7501
26 × 4616
52 × 2308
104 × 1154
208 × 577
First multiples
120,016 · 240,032 (double) · 360,048 · 480,064 · 600,080 · 720,096 · 840,112 · 960,128 · 1,080,144 · 1,200,160

Sums & aliquot sequence

As a sum of two squares: 180² + 296² = 204² + 280²
As consecutive integers: 9,226 + 9,227 + … + 9,238 3,735 + 3,736 + … + 3,766 81 + 82 + … + 496
Aliquot sequence: 120,016 130,836 174,476 136,996 111,224 97,336 93,464 106,936 93,584 87,766 62,714 31,360 55,850 48,124 38,060 49,636 37,234 — unresolved within range

Continued fraction of √n

√120,016 = [346; (2, 3, 4, 13, 1, 9, 1, 2, 1, 2, 2, 1, 57, 27, 1, 2, 3, 3, 2, 4, 10, 1, 1, 1, …)]

Representations

In words
one hundred twenty thousand sixteen
Ordinal
120016th
Binary
11101010011010000
Octal
352320
Hexadecimal
0x1D4D0
Base64
AdTQ
One's complement
4,294,847,279 (32-bit)
Scientific notation
1.20016 × 10⁵
As a duration
120,016 s = 1 day, 9 hours, 20 minutes, 16 seconds
In other bases
ternary (3) 20002122001
quaternary (4) 131103100
quinary (5) 12320031
senary (6) 2323344
septenary (7) 1006621
nonary (9) 202561
undecimal (11) 82196
duodecimal (12) 59554
tridecimal (13) 42820
tetradecimal (14) 31a48
pentadecimal (15) 25861

As an angle

120,016° = 333 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκιϛʹ
Mayan (base 20)
𝋯·𝋠·𝋠·𝋰
Chinese
一十二萬零一十六
Chinese (financial)
壹拾貳萬零壹拾陸
In other modern scripts
Eastern Arabic ١٢٠٠١٦ Devanagari १२००१६ Bengali ১২০০১৬ Tamil ௧௨௦௦௧௬ Thai ๑๒๐๐๑๖ Tibetan ༡༢༠༠༡༦ Khmer ១២០០១៦ Lao ໑໒໐໐໑໖ Burmese ၁၂၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120016, here are decompositions:

  • 5 + 120011 = 120016
  • 23 + 119993 = 120016
  • 53 + 119963 = 120016
  • 167 + 119849 = 120016
  • 233 + 119783 = 120016
  • 257 + 119759 = 120016
  • 269 + 119747 = 120016
  • 293 + 119723 = 120016

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓐
Mathematical Bold Script Capital A
U+1D4D0
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 90 (4 bytes).

Hex color
#01D4D0
RGB(1, 212, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.208.

Address
0.1.212.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.208

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 120,016 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