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121,640

121,640 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.).

121,640 (one hundred twenty-one thousand six hundred forty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,041. Its proper divisors sum to 152,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DB28.

Abundant Number Gapful Number Odious 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
46,121
Square (n²)
14,796,289,600
Cube (n³)
1,799,820,666,944,000
Divisor count
16
σ(n) — sum of divisors
273,780
φ(n) — Euler's totient
48,640
Sum of prime factors
3,052

Primality

Prime factorization: 2 3 × 5 × 3041

Nearest primes: 121,637 (−3) · 121,661 (+21)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3041 · 6082 · 12164 · 15205 · 24328 · 30410 · 60820 (half) · 121640
Aliquot sum (sum of proper divisors): 152,140
Factor pairs (a × b = 121,640)
1 × 121640
2 × 60820
4 × 30410
5 × 24328
8 × 15205
10 × 12164
20 × 6082
40 × 3041
First multiples
121,640 · 243,280 (double) · 364,920 · 486,560 · 608,200 · 729,840 · 851,480 · 973,120 · 1,094,760 · 1,216,400

Sums & aliquot sequence

As a sum of two squares: 86² + 338² = 134² + 322²
As consecutive integers: 24,326 + 24,327 + 24,328 + 24,329 + 24,330 7,595 + 7,596 + … + 7,610 1,481 + 1,482 + … + 1,560
Aliquot sequence: 121,640 152,140 167,396 125,554 96,206 61,258 31,802 15,904 20,384 29,890 33,722 20,794 11,354 8,134 6,230 6,730 5,402 — unresolved within range

Continued fraction of √n

√121,640 = [348; (1, 3, 2, 1, 173, 1, 2, 3, 1, 696)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand six hundred forty
Ordinal
121640th
Binary
11101101100101000
Octal
355450
Hexadecimal
0x1DB28
Base64
Adso
One's complement
4,294,845,655 (32-bit)
Scientific notation
1.2164 × 10⁵
As a duration
121,640 s = 1 day, 9 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 20011212012
quaternary (4) 131230220
quinary (5) 12343030
senary (6) 2335052
septenary (7) 1014431
nonary (9) 204765
undecimal (11) 83432
duodecimal (12) 5a488
tridecimal (13) 4349c
tetradecimal (14) 32488
pentadecimal (15) 26095

As an angle

121,640° = 337 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαχμʹ
Mayan (base 20)
𝋯·𝋤·𝋢·𝋠
Chinese
一十二萬一千六百四十
Chinese (financial)
壹拾貳萬壹仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٢١٦٤٠ Devanagari १२१६४० Bengali ১২১৬৪০ Tamil ௧௨௧௬௪௦ Thai ๑๒๑๖๔๐ Tibetan ༡༢༡༦༤༠ Khmer ១២១៦៤០ Lao ໑໒໑໖໔໐ Burmese ၁၂၁၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121640, here are decompositions:

  • 3 + 121637 = 121640
  • 7 + 121633 = 121640
  • 19 + 121621 = 121640
  • 31 + 121609 = 121640
  • 61 + 121579 = 121640
  • 109 + 121531 = 121640
  • 139 + 121501 = 121640
  • 193 + 121447 = 121640

Showing the first eight; more decompositions exist.

Hex color
#01DB28
RGB(1, 219, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.40.

Address
0.1.219.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.40

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 121,640 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 121640 first appears in π at position 388,807 of the decimal expansion (the 388,807ordinal-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

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