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120,392

120,392 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.).

120,392 (one hundred twenty thousand three hundred ninety-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 101 × 149. Written other ways, in hexadecimal, 0x1D648.

Deficient Number Evil Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
293,021
Square (n²)
14,494,233,664
Cube (n³)
1,744,989,779,276,288
Divisor count
16
σ(n) — sum of divisors
229,500
φ(n) — Euler's totient
59,200
Sum of prime factors
256

Primality

Prime factorization: 2 3 × 101 × 149

Nearest primes: 120,391 (−1) · 120,397 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 101 · 149 · 202 · 298 · 404 · 596 · 808 · 1192 · 15049 · 30098 · 60196 (half) · 120392
Aliquot sum (sum of proper divisors): 109,108
Factor pairs (a × b = 120,392)
1 × 120392
2 × 60196
4 × 30098
8 × 15049
101 × 1192
149 × 808
202 × 596
298 × 404
First multiples
120,392 · 240,784 (double) · 361,176 · 481,568 · 601,960 · 722,352 · 842,744 · 963,136 · 1,083,528 · 1,203,920

Sums & aliquot sequence

As a sum of two squares: 26² + 346² = 94² + 334²
As consecutive integers: 7,517 + 7,518 + … + 7,532 1,142 + 1,143 + … + 1,242 734 + 735 + … + 882
Aliquot sequence: 120,392 109,108 81,838 54,242 29,434 14,720 22,000 36,032 35,596 32,444 24,340 26,816 26,524 22,476 29,996 22,504 21,596 — unresolved within range

Continued fraction of √n

√120,392 = [346; (1, 39, 1, 4, 1, 1, 1, 1, 1, 3, 14, 2, 21, 1, 9, 4, 173, 4, 9, 1, 21, 2, 14, 3, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand three hundred ninety-two
Ordinal
120392nd
Binary
11101011001001000
Octal
353110
Hexadecimal
0x1D648
Base64
AdZI
One's complement
4,294,846,903 (32-bit)
Scientific notation
1.20392 × 10⁵
As a duration
120,392 s = 1 day, 9 hours, 26 minutes, 32 seconds
In other bases
ternary (3) 20010010222
quaternary (4) 131121020
quinary (5) 12323032
senary (6) 2325212
septenary (7) 1010666
nonary (9) 203128
undecimal (11) 824a8
duodecimal (12) 59808
tridecimal (13) 42a4c
tetradecimal (14) 31c36
pentadecimal (15) 25a12

As an angle

120,392° = 334 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκτϟβʹ
Mayan (base 20)
𝋯·𝋠·𝋳·𝋬
Chinese
一十二萬零三百九十二
Chinese (financial)
壹拾貳萬零參佰玖拾貳
In other modern scripts
Eastern Arabic ١٢٠٣٩٢ Devanagari १२०३९२ Bengali ১২০৩৯২ Tamil ௧௨௦௩௯௨ Thai ๑๒๐๓๙๒ Tibetan ༡༢༠༣༩༢ Khmer ១២០៣៩២ Lao ໑໒໐໓໙໒ Burmese ၁၂၀၃၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120392, here are decompositions:

  • 43 + 120349 = 120392
  • 61 + 120331 = 120392
  • 73 + 120319 = 120392
  • 109 + 120283 = 120392
  • 193 + 120199 = 120392
  • 199 + 120193 = 120392
  • 211 + 120181 = 120392
  • 229 + 120163 = 120392

Showing the first eight; more decompositions exist.

Unicode codepoint
𝙈
Mathematical Sans-Serif Bold Italic Capital M
U+1D648
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 88 (4 bytes).

Hex color
#01D648
RGB(1, 214, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.72.

Address
0.1.214.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.72

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 120,392 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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