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121,664

121,664 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.).

121,664 (one hundred twenty-one thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 1,901. Written other ways, in hexadecimal, 0x1DB40.

Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
288
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
466,121
Square (n²)
14,802,128,896
Cube (n³)
1,800,886,210,002,944
Divisor count
14
σ(n) — sum of divisors
241,554
φ(n) — Euler's totient
60,800
Sum of prime factors
1,913

Primality

Prime factorization: 2 6 × 1901

Nearest primes: 121,661 (−3) · 121,687 (+23)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 1901 · 3802 · 7604 · 15208 · 30416 · 60832 (half) · 121664
Aliquot sum (sum of proper divisors): 119,890
Factor pairs (a × b = 121,664)
1 × 121664
2 × 60832
4 × 30416
8 × 15208
16 × 7604
32 × 3802
64 × 1901
First multiples
121,664 · 243,328 (double) · 364,992 · 486,656 · 608,320 · 729,984 · 851,648 · 973,312 · 1,094,976 · 1,216,640

Sums & aliquot sequence

As a sum of two squares: 208² + 280²
As consecutive integers: 887 + 888 + … + 1,014
Aliquot sequence: 121,664 119,890 107,630 91,090 72,890 62,542 31,274 18,166 10,058 5,494 3,074 1,786 1,094 550 566 286 218 — unresolved within range

Continued fraction of √n

√121,664 = [348; (1, 4, 10, 1, 2, 2, 1, 173, 1, 2, 2, 1, 10, 4, 1, 696)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand six hundred sixty-four
Ordinal
121664th
Binary
11101101101000000
Octal
355500
Hexadecimal
0x1DB40
Base64
AdtA
One's complement
4,294,845,631 (32-bit)
Scientific notation
1.21664 × 10⁵
As a duration
121,664 s = 1 day, 9 hours, 47 minutes, 44 seconds
In other bases
ternary (3) 20011220002
quaternary (4) 131231000
quinary (5) 12343124
senary (6) 2335132
septenary (7) 1014464
nonary (9) 204802
undecimal (11) 83454
duodecimal (12) 5a4a8
tridecimal (13) 434ba
tetradecimal (14) 324a4
pentadecimal (15) 260ae

As an angle

121,664° = 337 × 360° + 344°
344° ≈ 6.004 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαχξδʹ
Mayan (base 20)
𝋯·𝋤·𝋣·𝋤
Chinese
一十二萬一千六百六十四
Chinese (financial)
壹拾貳萬壹仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ١٢١٦٦٤ Devanagari १२१६६४ Bengali ১২১৬৬৪ Tamil ௧௨௧௬௬௪ Thai ๑๒๑๖๖๔ Tibetan ༡༢༡༦༦༤ Khmer ១២១៦៦៤ Lao ໑໒໑໖໖໔ Burmese ၁၂၁၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121664, here are decompositions:

  • 3 + 121661 = 121664
  • 31 + 121633 = 121664
  • 43 + 121621 = 121664
  • 73 + 121591 = 121664
  • 157 + 121507 = 121664
  • 163 + 121501 = 121664
  • 211 + 121453 = 121664
  • 223 + 121441 = 121664

Showing the first eight; more decompositions exist.

Hex color
#01DB40
RGB(1, 219, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.64.

Address
0.1.219.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.64

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 121,664 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.