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120,060

120,060 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.).

120,060 (one hundred twenty thousand sixty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 23 × 29. Its proper divisors sum to 273,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D4FC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
60,021
Recamán's sequence
a(239,976) = 120,060
Square (n²)
14,414,403,600
Cube (n³)
1,730,593,296,216,000
Divisor count
72
σ(n) — sum of divisors
393,120
φ(n) — Euler's totient
29,568
Sum of prime factors
67

Primality

Prime factorization: 2 2 × 3 2 × 5 × 23 × 29

Nearest primes: 120,049 (−11) · 120,067 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 23 · 29 · 30 · 36 · 45 · 46 · 58 · 60 · 69 · 87 · 90 · 92 · 115 · 116 · 138 · 145 · 174 · 180 · 207 · 230 · 261 · 276 · 290 · 345 · 348 · 414 · 435 · 460 · 522 · 580 · 667 · 690 · 828 · 870 · 1035 · 1044 · 1305 · 1334 · 1380 · 1740 · 2001 · 2070 · 2610 · 2668 · 3335 · 4002 · 4140 · 5220 · 6003 · 6670 · 8004 · 10005 · 12006 · 13340 · 20010 · 24012 · 30015 · 40020 · 60030 (half) · 120060
Aliquot sum (sum of proper divisors): 273,060
Factor pairs (a × b = 120,060)
1 × 120060
2 × 60030
3 × 40020
4 × 30015
5 × 24012
6 × 20010
9 × 13340
10 × 12006
12 × 10005
15 × 8004
18 × 6670
20 × 6003
23 × 5220
29 × 4140
30 × 4002
36 × 3335
45 × 2668
46 × 2610
58 × 2070
60 × 2001
69 × 1740
87 × 1380
90 × 1334
92 × 1305
115 × 1044
116 × 1035
138 × 870
145 × 828
174 × 690
180 × 667
207 × 580
230 × 522
261 × 460
276 × 435
290 × 414
345 × 348
First multiples
120,060 · 240,120 (double) · 360,180 · 480,240 · 600,300 · 720,360 · 840,420 · 960,480 · 1,080,540 · 1,200,600

Sums & aliquot sequence

As consecutive integers: 40,019 + 40,020 + 40,021 24,010 + 24,011 + 24,012 + 24,013 + 24,014 15,004 + 15,005 + … + 15,011 13,336 + 13,337 + … + 13,344
Aliquot sequence: 120,060 273,060 598,356 1,052,748 1,608,456 2,553,144 4,790,856 8,897,784 16,524,936 28,443,624 49,130,616 74,416,344 123,230,256 202,884,288 357,264,960 864,349,056 1,777,869,144 — unresolved within range

Continued fraction of √n

√120,060 = [346; (2, 76, 2, 692)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand sixty
Ordinal
120060th
Binary
11101010011111100
Octal
352374
Hexadecimal
0x1D4FC
Base64
AdT8
One's complement
4,294,847,235 (32-bit)
Scientific notation
1.2006 × 10⁵
As a duration
120,060 s = 1 day, 9 hours, 21 minutes
In other bases
ternary (3) 20002200200
quaternary (4) 131103330
quinary (5) 12320220
senary (6) 2323500
septenary (7) 1010013
nonary (9) 202620
undecimal (11) 82226
duodecimal (12) 59590
tridecimal (13) 42855
tetradecimal (14) 31a7a
pentadecimal (15) 25890

As an angle

120,060° = 333 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκξʹ
Mayan (base 20)
𝋯·𝋠·𝋣·𝋠
Chinese
一十二萬零六十
Chinese (financial)
壹拾貳萬零陸拾
In other modern scripts
Eastern Arabic ١٢٠٠٦٠ Devanagari १२००६० Bengali ১২০০৬০ Tamil ௧௨௦௦௬௦ Thai ๑๒๐๐๖๐ Tibetan ༡༢༠༠༦༠ Khmer ១២០០៦០ Lao ໑໒໐໐໖໐ Burmese ၁၂၀၀၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120060, here are decompositions:

  • 11 + 120049 = 120060
  • 13 + 120047 = 120060
  • 19 + 120041 = 120060
  • 43 + 120017 = 120060
  • 67 + 119993 = 120060
  • 79 + 119981 = 120060
  • 89 + 119971 = 120060
  • 97 + 119963 = 120060

Showing the first eight; more decompositions exist.

Unicode codepoint
𝓼
Mathematical Bold Script Small S
U+1D4FC
Lowercase letter (Ll)

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

Hex color
#01D4FC
RGB(1, 212, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.252.

Address
0.1.212.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.252

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 120,060 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 120060 first appears in π at position 239,654 of the decimal expansion (the 239,654ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.