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120,406

120,406 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.).

120,406 (one hundred twenty thousand four hundred six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 13 × 421. Written other ways, in hexadecimal, 0x1D656.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
604,021
Square (n²)
14,497,604,836
Cube (n³)
1,745,598,607,883,416
Divisor count
16
σ(n) — sum of divisors
212,688
φ(n) — Euler's totient
50,400
Sum of prime factors
447

Primality

Prime factorization: 2 × 11 × 13 × 421

Nearest primes: 120,401 (−5) · 120,413 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 13 · 22 · 26 · 143 · 286 · 421 · 842 · 4631 · 5473 · 9262 · 10946 · 60203 (half) · 120406
Aliquot sum (sum of proper divisors): 92,282
Factor pairs (a × b = 120,406)
1 × 120406
2 × 60203
11 × 10946
13 × 9262
22 × 5473
26 × 4631
143 × 842
286 × 421
First multiples
120,406 · 240,812 (double) · 361,218 · 481,624 · 602,030 · 722,436 · 842,842 · 963,248 · 1,083,654 · 1,204,060

Sums & aliquot sequence

As consecutive integers: 30,100 + 30,101 + 30,102 + 30,103 10,941 + 10,942 + … + 10,951 9,256 + 9,257 + … + 9,268 2,715 + 2,716 + … + 2,758
Aliquot sequence: 120,406 92,282 46,144 59,520 136,320 304,320 664,944 1,299,216 2,057,216 2,843,302 2,628,698 1,321,510 1,057,226 567,418 308,660 441,292 330,976 — unresolved within range

Continued fraction of √n

√120,406 = [346; (1, 230, 3, 76, 1, 3, 2, 25, 3, 1, 6, 8, 2, 2, 1, 1, 1, 1, 2, 2, 2, 8, 1, 5, …)]

Representations

In words
one hundred twenty thousand four hundred six
Ordinal
120406th
Binary
11101011001010110
Octal
353126
Hexadecimal
0x1D656
Base64
AdZW
One's complement
4,294,846,889 (32-bit)
Scientific notation
1.20406 × 10⁵
As a duration
120,406 s = 1 day, 9 hours, 26 minutes, 46 seconds
In other bases
ternary (3) 20010011111
quaternary (4) 131121112
quinary (5) 12323111
senary (6) 2325234
septenary (7) 1011016
nonary (9) 203144
undecimal (11) 82510
duodecimal (12) 5981a
tridecimal (13) 42a60
tetradecimal (14) 31c46
pentadecimal (15) 25a21

As an angle

120,406° = 334 × 360° + 166°
166° ≈ 2.897 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκυϛʹ
Mayan (base 20)
𝋯·𝋡·𝋠·𝋦
Chinese
一十二萬零四百零六
Chinese (financial)
壹拾貳萬零肆佰零陸
In other modern scripts
Eastern Arabic ١٢٠٤٠٦ Devanagari १२०४०६ Bengali ১২০৪০৬ Tamil ௧௨௦௪௦௬ Thai ๑๒๐๔๐๖ Tibetan ༡༢༠༤༠༦ Khmer ១២០៤០៦ Lao ໑໒໐໔໐໖ Burmese ၁၂၀၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120406, here are decompositions:

  • 5 + 120401 = 120406
  • 23 + 120383 = 120406
  • 107 + 120299 = 120406
  • 113 + 120293 = 120406
  • 173 + 120233 = 120406
  • 197 + 120209 = 120406
  • 239 + 120167 = 120406
  • 359 + 120047 = 120406

Showing the first eight; more decompositions exist.

Unicode codepoint
𝙖
Mathematical Sans-Serif Bold Italic Small A
U+1D656
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 99 96 (4 bytes).

Hex color
#01D656
RGB(1, 214, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.86.

Address
0.1.214.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.86

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 120,406 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 120406 first appears in π at position 39,574 of the decimal expansion (the 39,574ordinal-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