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120,132

120,132 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.).

120,132 (one hundred twenty thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 47 × 71. Its proper divisors sum to 194,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D544.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
231,021
Recamán's sequence
a(239,832) = 120,132
Square (n²)
14,431,697,424
Cube (n³)
1,733,708,674,939,968
Divisor count
36
σ(n) — sum of divisors
314,496
φ(n) — Euler's totient
38,640
Sum of prime factors
128

Primality

Prime factorization: 2 2 × 3 2 × 47 × 71

Nearest primes: 120,121 (−11) · 120,157 (+25)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 47 · 71 · 94 · 141 · 142 · 188 · 213 · 282 · 284 · 423 · 426 · 564 · 639 · 846 · 852 · 1278 · 1692 · 2556 · 3337 · 6674 · 10011 · 13348 · 20022 · 30033 · 40044 · 60066 (half) · 120132
Aliquot sum (sum of proper divisors): 194,364
Factor pairs (a × b = 120,132)
1 × 120132
2 × 60066
3 × 40044
4 × 30033
6 × 20022
9 × 13348
12 × 10011
18 × 6674
36 × 3337
47 × 2556
71 × 1692
94 × 1278
141 × 852
142 × 846
188 × 639
213 × 564
282 × 426
284 × 423
First multiples
120,132 · 240,264 (double) · 360,396 · 480,528 · 600,660 · 720,792 · 840,924 · 961,056 · 1,081,188 · 1,201,320

Sums & aliquot sequence

As consecutive integers: 40,043 + 40,044 + 40,045 15,013 + 15,014 + … + 15,020 13,344 + 13,345 + … + 13,352 4,994 + 4,995 + … + 5,017
Aliquot sequence: 120,132 194,364 297,036 477,556 358,174 212,066 106,036 110,222 78,754 49,712 54,448 54,920 68,740 96,572 96,628 118,832 144,544 — unresolved within range

Continued fraction of √n

√120,132 = [346; (1, 1, 1, 1, 62, 2, 2, 1, 1, 3, 1, 4, 1, 17, 1, 9, 1, 7, 1, 1, 1, 5, 1, 3, …)]

Representations

In words
one hundred twenty thousand one hundred thirty-two
Ordinal
120132nd
Binary
11101010101000100
Octal
352504
Hexadecimal
0x1D544
Base64
AdVE
One's complement
4,294,847,163 (32-bit)
Scientific notation
1.20132 × 10⁵
As a duration
120,132 s = 1 day, 9 hours, 22 minutes, 12 seconds
In other bases
ternary (3) 20002210100
quaternary (4) 131111010
quinary (5) 12321012
senary (6) 2324100
septenary (7) 1010145
nonary (9) 202710
undecimal (11) 82291
duodecimal (12) 59630
tridecimal (13) 428ac
tetradecimal (14) 31acc
pentadecimal (15) 258dc

As an angle

120,132° = 333 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκρλβʹ
Mayan (base 20)
𝋯·𝋠·𝋦·𝋬
Chinese
一十二萬零一百三十二
Chinese (financial)
壹拾貳萬零壹佰參拾貳
In other modern scripts
Eastern Arabic ١٢٠١٣٢ Devanagari १२०१३२ Bengali ১২০১৩২ Tamil ௧௨௦௧௩௨ Thai ๑๒๐๑๓๒ Tibetan ༡༢༠༡༣༢ Khmer ១២០១៣២ Lao ໑໒໐໑໓໒ Burmese ၁၂၀၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120132, here are decompositions:

  • 11 + 120121 = 120132
  • 29 + 120103 = 120132
  • 41 + 120091 = 120132
  • 53 + 120079 = 120132
  • 83 + 120049 = 120132
  • 139 + 119993 = 120132
  • 149 + 119983 = 120132
  • 151 + 119981 = 120132

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕄
Mathematical Double-Struck Capital M
U+1D544
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 95 84 (4 bytes).

Hex color
#01D544
RGB(1, 213, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.68.

Address
0.1.213.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.68

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 120,132 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 120132 first appears in π at position 17,782 of the decimal expansion (the 17,782ordinal-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°.