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120,140

120,140 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.).

120,140 (one hundred twenty thousand one hundred forty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,007. Its proper divisors sum to 132,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D54C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
41,021
Recamán's sequence
a(239,816) = 120,140
Square (n²)
14,433,619,600
Cube (n³)
1,734,055,058,744,000
Divisor count
12
σ(n) — sum of divisors
252,336
φ(n) — Euler's totient
48,048
Sum of prime factors
6,016

Primality

Prime factorization: 2 2 × 5 × 6007

Nearest primes: 120,121 (−19) · 120,157 (+17)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6007 · 12014 · 24028 · 30035 · 60070 (half) · 120140
Aliquot sum (sum of proper divisors): 132,196
Factor pairs (a × b = 120,140)
1 × 120140
2 × 60070
4 × 30035
5 × 24028
10 × 12014
20 × 6007
First multiples
120,140 · 240,280 (double) · 360,420 · 480,560 · 600,700 · 720,840 · 840,980 · 961,120 · 1,081,260 · 1,201,400

Sums & aliquot sequence

As consecutive integers: 24,026 + 24,027 + 24,028 + 24,029 + 24,030 15,014 + 15,015 + … + 15,021 2,984 + 2,985 + … + 3,023
Aliquot sequence: 120,140 132,196 99,154 63,134 31,570 41,006 32,434 16,220 17,884 15,380 16,960 24,188 18,148 16,152 24,288 48,288 78,720 — unresolved within range

Continued fraction of √n

√120,140 = [346; (1, 1, 1, 1, 2, 1, 2, 5, 1, 1, 1, 1, 3, 1, 62, 4, 4, 1, 2, 1, 4, 1, 1, 4, …)]

Representations

In words
one hundred twenty thousand one hundred forty
Ordinal
120140th
Binary
11101010101001100
Octal
352514
Hexadecimal
0x1D54C
Base64
AdVM
One's complement
4,294,847,155 (32-bit)
Scientific notation
1.2014 × 10⁵
As a duration
120,140 s = 1 day, 9 hours, 22 minutes, 20 seconds
In other bases
ternary (3) 20002210122
quaternary (4) 131111030
quinary (5) 12321030
senary (6) 2324112
septenary (7) 1010156
nonary (9) 202718
undecimal (11) 82299
duodecimal (12) 59638
tridecimal (13) 428b7
tetradecimal (14) 31ad6
pentadecimal (15) 258e5

As an angle

120,140° = 333 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκρμʹ
Mayan (base 20)
𝋯·𝋠·𝋧·𝋠
Chinese
一十二萬零一百四十
Chinese (financial)
壹拾貳萬零壹佰肆拾
In other modern scripts
Eastern Arabic ١٢٠١٤٠ Devanagari १२०१४० Bengali ১২০১৪০ Tamil ௧௨௦௧௪௦ Thai ๑๒๐๑๔๐ Tibetan ༡༢༠༡༤༠ Khmer ១២០១៤០ Lao ໑໒໐໑໔໐ Burmese ၁၂၀၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120140, here are decompositions:

  • 19 + 120121 = 120140
  • 37 + 120103 = 120140
  • 43 + 120097 = 120140
  • 61 + 120079 = 120140
  • 73 + 120067 = 120140
  • 157 + 119983 = 120140
  • 211 + 119929 = 120140
  • 271 + 119869 = 120140

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕌
Mathematical Double-Struck Capital U
U+1D54C
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 95 8C (4 bytes).

Hex color
#01D54C
RGB(1, 213, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.76.

Address
0.1.213.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.76

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 120,140 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 120140 first appears in π at position 122,095 of the decimal expansion (the 122,095ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.