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121,040

121,040 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.).

121,040 (one hundred twenty-one thousand forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 17 × 89. Its proper divisors sum to 180,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D8D0.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
40,121
Square (n²)
14,650,681,600
Cube (n³)
1,773,318,500,864,000
Divisor count
40
σ(n) — sum of divisors
301,320
φ(n) — Euler's totient
45,056
Sum of prime factors
119

Primality

Prime factorization: 2 4 × 5 × 17 × 89

Nearest primes: 121,039 (−1) · 121,061 (+21)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 34 · 40 · 68 · 80 · 85 · 89 · 136 · 170 · 178 · 272 · 340 · 356 · 445 · 680 · 712 · 890 · 1360 · 1424 · 1513 · 1780 · 3026 · 3560 · 6052 · 7120 · 7565 · 12104 · 15130 · 24208 · 30260 · 60520 (half) · 121040
Aliquot sum (sum of proper divisors): 180,280
Factor pairs (a × b = 121,040)
1 × 121040
2 × 60520
4 × 30260
5 × 24208
8 × 15130
10 × 12104
16 × 7565
17 × 7120
20 × 6052
34 × 3560
40 × 3026
68 × 1780
80 × 1513
85 × 1424
89 × 1360
136 × 890
170 × 712
178 × 680
272 × 445
340 × 356
First multiples
121,040 · 242,080 (double) · 363,120 · 484,160 · 605,200 · 726,240 · 847,280 · 968,320 · 1,089,360 · 1,210,400

Sums & aliquot sequence

As a sum of two squares: 52² + 344² = 104² + 332² = 116² + 328² = 244² + 248²
As consecutive integers: 24,206 + 24,207 + 24,208 + 24,209 + 24,210 7,112 + 7,113 + … + 7,128 3,767 + 3,768 + … + 3,798 1,382 + 1,383 + … + 1,466
Aliquot sequence: 121,040 180,280 225,440 307,540 338,336 340,804 255,610 204,506 102,256 147,728 179,632 175,008 284,640 613,488 971,480 1,242,520 1,553,240 — unresolved within range

Continued fraction of √n

√121,040 = [347; (1, 9, 1, 6, 1, 9, 1, 694)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand forty
Ordinal
121040th
Binary
11101100011010000
Octal
354320
Hexadecimal
0x1D8D0
Base64
AdjQ
One's complement
4,294,846,255 (32-bit)
Scientific notation
1.2104 × 10⁵
As a duration
121,040 s = 1 day, 9 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 20011000222
quaternary (4) 131203100
quinary (5) 12333130
senary (6) 2332212
septenary (7) 1012613
nonary (9) 204028
undecimal (11) 82a37
duodecimal (12) 5a068
tridecimal (13) 4312a
tetradecimal (14) 3217a
pentadecimal (15) 25ce5

As an angle

121,040° = 336 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκαμʹ
Mayan (base 20)
𝋯·𝋢·𝋬·𝋠
Chinese
一十二萬一千零四十
Chinese (financial)
壹拾貳萬壹仟零肆拾
In other modern scripts
Eastern Arabic ١٢١٠٤٠ Devanagari १२१०४० Bengali ১২১০৪০ Tamil ௧௨௧௦௪௦ Thai ๑๒๑๐๔๐ Tibetan ༡༢༡༠༤༠ Khmer ១២១០៤០ Lao ໑໒໑໐໔໐ Burmese ၁၂၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121040, here are decompositions:

  • 19 + 121021 = 121040
  • 43 + 120997 = 121040
  • 97 + 120943 = 121040
  • 103 + 120937 = 121040
  • 151 + 120889 = 121040
  • 163 + 120877 = 121040
  • 193 + 120847 = 121040
  • 211 + 120829 = 121040

Showing the first eight; more decompositions exist.

Unicode codepoint
𝣐
Signwriting Hand-Cup Middle Ring Little
U+1D8D0
Other symbol (So)

UTF-8 encoding: F0 9D A3 90 (4 bytes).

Hex color
#01D8D0
RGB(1, 216, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.208.

Address
0.1.216.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.208

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 121,040 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.