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120,380

120,380 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.).

120,380 (one hundred twenty thousand three hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 463. Its proper divisors sum to 152,452, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D63C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
83,021
Square (n²)
14,491,344,400
Cube (n³)
1,744,468,038,872,000
Divisor count
24
σ(n) — sum of divisors
272,832
φ(n) — Euler's totient
44,352
Sum of prime factors
485

Primality

Prime factorization: 2 2 × 5 × 13 × 463

Nearest primes: 120,371 (−9) · 120,383 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 463 · 926 · 1852 · 2315 · 4630 · 6019 · 9260 · 12038 · 24076 · 30095 · 60190 (half) · 120380
Aliquot sum (sum of proper divisors): 152,452
Factor pairs (a × b = 120,380)
1 × 120380
2 × 60190
4 × 30095
5 × 24076
10 × 12038
13 × 9260
20 × 6019
26 × 4630
52 × 2315
65 × 1852
130 × 926
260 × 463
First multiples
120,380 · 240,760 (double) · 361,140 · 481,520 · 601,900 · 722,280 · 842,660 · 963,040 · 1,083,420 · 1,203,800

Sums & aliquot sequence

As consecutive integers: 24,074 + 24,075 + 24,076 + 24,077 + 24,078 15,044 + 15,045 + … + 15,051 9,254 + 9,255 + … + 9,266 2,990 + 2,991 + … + 3,029
Aliquot sequence: 120,380 152,452 114,346 57,176 65,464 78,176 98,224 119,520 293,256 501,174 612,666 731,898 878,490 1,468,998 1,713,870 2,807,010 4,491,450 — unresolved within range

Continued fraction of √n

√120,380 = [346; (1, 22, 1, 13, 4, 1, 11, 1, 1, 2, 3, 11, 12, 3, 3, 3, 4, 5, 1, 2, 1, 172, 1, 2, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred eighty
Ordinal
120380th
Binary
11101011000111100
Octal
353074
Hexadecimal
0x1D63C
Base64
AdY8
One's complement
4,294,846,915 (32-bit)
Scientific notation
1.2038 × 10⁵
As a duration
120,380 s = 1 day, 9 hours, 26 minutes, 20 seconds
In other bases
ternary (3) 20010010112
quaternary (4) 131120330
quinary (5) 12323010
senary (6) 2325152
septenary (7) 1010651
nonary (9) 203115
undecimal (11) 82497
duodecimal (12) 597b8
tridecimal (13) 42a40
tetradecimal (14) 31c28
pentadecimal (15) 25a05

As an angle

120,380° = 334 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκτπʹ
Mayan (base 20)
𝋯·𝋠·𝋳·𝋠
Chinese
一十二萬零三百八十
Chinese (financial)
壹拾貳萬零參佰捌拾
In other modern scripts
Eastern Arabic ١٢٠٣٨٠ Devanagari १२०३८० Bengali ১২০৩৮০ Tamil ௧௨௦௩௮௦ Thai ๑๒๐๓๘๐ Tibetan ༡༢༠༣༨༠ Khmer ១២០៣៨០ Lao ໑໒໐໓໘໐ Burmese ၁၂၀၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120380, here are decompositions:

  • 31 + 120349 = 120380
  • 61 + 120319 = 120380
  • 97 + 120283 = 120380
  • 103 + 120277 = 120380
  • 157 + 120223 = 120380
  • 181 + 120199 = 120380
  • 199 + 120181 = 120380
  • 223 + 120157 = 120380

Showing the first eight; more decompositions exist.

Unicode codepoint
𝘼
Mathematical Sans-Serif Bold Italic Capital A
U+1D63C
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 98 BC (4 bytes).

Hex color
#01D63C
RGB(1, 214, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.60.

Address
0.1.214.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.60

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 120,380 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 120380 first appears in π at position 76,761 of the decimal expansion (the 76,761ordinal-suffix:st 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.