number.wiki
Live analysis

120,000

120,000 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.).

120,000 (one hundred twenty thousand) is an even 6-digit number. It is a composite number with 70 divisors, and factors as 2⁶ × 3 × 5⁴. Its proper divisors sum to 276,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4C0.

Abundant Number Frugal Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Preferred Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
3
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
21
Recamán's sequence
a(240,096) = 120,000
Square (n²)
14,400,000,000
Cube (n³)
1,728,000,000,000,000
Divisor count
70
σ(n) — sum of divisors
396,748
φ(n) — Euler's totient
32,000
Sum of prime factors
35

Primality

Prime factorization: 2 6 × 3 × 5 4

Nearest primes: 119,993 (−7) · 120,011 (+11)

Divisors & multiples

All divisors (70)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 125 · 150 · 160 · 192 · 200 · 240 · 250 · 300 · 320 · 375 · 400 · 480 · 500 · 600 · 625 · 750 · 800 · 960 · 1000 · 1200 · 1250 · 1500 · 1600 · 1875 · 2000 · 2400 · 2500 · 3000 · 3750 · 4000 · 4800 · 5000 · 6000 · 7500 · 8000 · 10000 · 12000 · 15000 · 20000 · 24000 · 30000 · 40000 · 60000 (half) · 120000
Aliquot sum (sum of proper divisors): 276,748
Factor pairs (a × b = 120,000)
1 × 120000
2 × 60000
3 × 40000
4 × 30000
5 × 24000
6 × 20000
8 × 15000
10 × 12000
12 × 10000
15 × 8000
16 × 7500
20 × 6000
24 × 5000
25 × 4800
30 × 4000
32 × 3750
40 × 3000
48 × 2500
50 × 2400
60 × 2000
64 × 1875
75 × 1600
80 × 1500
96 × 1250
100 × 1200
120 × 1000
125 × 960
150 × 800
160 × 750
192 × 625
200 × 600
240 × 500
250 × 480
300 × 400
320 × 375
First multiples
120,000 · 240,000 (double) · 360,000 · 480,000 · 600,000 · 720,000 · 840,000 · 960,000 · 1,080,000 · 1,200,000

Sums & aliquot sequence

As consecutive integers: 39,999 + 40,000 + 40,001 23,998 + 23,999 + 24,000 + 24,001 + 24,002 7,993 + 7,994 + … + 8,007 4,788 + 4,789 + … + 4,812
Aliquot sequence: 120,000 276,748 219,132 349,268 261,958 133,394 66,700 89,540 122,728 126,122 73,078 38,522 28,870 23,114 19,894 16,106 8,056 — unresolved within range

Continued fraction of √n

√120,000 = [346; (2, 2, 3, 1, 1, 6, 2, 1, 2, 1, 17, 27, 1, 1, 1, 10, 6, 6, 1, 3, 4, 5, 2, 27, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand
Ordinal
120000th
Binary
11101010011000000
Octal
352300
Hexadecimal
0x1D4C0
Base64
AdTA
One's complement
4,294,847,295 (32-bit)
Scientific notation
1.2 × 10⁵
As a duration
120,000 s = 1 day, 9 hours, 20 minutes
In other bases
ternary (3) 20002121110
quaternary (4) 131103000
quinary (5) 12320000
senary (6) 2323320
septenary (7) 1006566
nonary (9) 202543
undecimal (11) 82181
duodecimal (12) 59540
tridecimal (13) 4280a
tetradecimal (14) 31a36
pentadecimal (15) 25850

As an angle

120,000° = 333 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍
Greek (Milesian)
͵ρκ
Mayan (base 20)
𝋯·𝋠·𝋠·𝋠
Chinese
一十二萬
Chinese (financial)
壹拾貳萬
In other modern scripts
Eastern Arabic ١٢٠٠٠٠ Devanagari १२०००० Bengali ১২০০০০ Tamil ௧௨௦௦௦௦ Thai ๑๒๐๐๐๐ Tibetan ༡༢༠༠༠༠ Khmer ១២០០០០ Lao ໑໒໐໐໐໐ Burmese ၁၂၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120000, here are decompositions:

  • 7 + 119993 = 120000
  • 17 + 119983 = 120000
  • 19 + 119981 = 120000
  • 29 + 119971 = 120000
  • 37 + 119963 = 120000
  • 47 + 119953 = 120000
  • 71 + 119929 = 120000
  • 79 + 119921 = 120000

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓀
Mathematical Script Small K
U+1D4C0
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 93 80 (4 bytes).

Hex color
#01D4C0
RGB(1, 212, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.192.

Address
0.1.212.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.192

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 120,000 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 120000 first appears in π at position 254,522 of the decimal expansion (the 254,522ordinal-suffix:nd 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°.