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120,890

120,890 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.).

120,890 (one hundred twenty thousand eight hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 11 × 157. Its proper divisors sum to 152,134, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D83A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
98,021
Square (n²)
14,614,392,100
Cube (n³)
1,766,733,860,969,000
Divisor count
32
σ(n) — sum of divisors
273,024
φ(n) — Euler's totient
37,440
Sum of prime factors
182

Primality

Prime factorization: 2 × 5 × 7 × 11 × 157

Nearest primes: 120,889 (−1) · 120,899 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 11 · 14 · 22 · 35 · 55 · 70 · 77 · 110 · 154 · 157 · 314 · 385 · 770 · 785 · 1099 · 1570 · 1727 · 2198 · 3454 · 5495 · 8635 · 10990 · 12089 · 17270 · 24178 · 60445 (half) · 120890
Aliquot sum (sum of proper divisors): 152,134
Factor pairs (a × b = 120,890)
1 × 120890
2 × 60445
5 × 24178
7 × 17270
10 × 12089
11 × 10990
14 × 8635
22 × 5495
35 × 3454
55 × 2198
70 × 1727
77 × 1570
110 × 1099
154 × 785
157 × 770
314 × 385
First multiples
120,890 · 241,780 (double) · 362,670 · 483,560 · 604,450 · 725,340 · 846,230 · 967,120 · 1,088,010 · 1,208,900

Sums & aliquot sequence

As consecutive integers: 30,221 + 30,222 + 30,223 + 30,224 24,176 + 24,177 + 24,178 + 24,179 + 24,180 17,267 + 17,268 + … + 17,273 10,985 + 10,986 + … + 10,995
Aliquot sequence: 120,890 152,134 93,386 49,498 24,752 37,744 46,080 113,586 134,382 134,394 155,238 155,250 294,030 577,386 673,656 1,010,544 1,675,296 — unresolved within range

Continued fraction of √n

√120,890 = [347; (1, 2, 3, 1, 68, 1, 3, 2, 1, 694)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eight hundred ninety
Ordinal
120890th
Binary
11101100000111010
Octal
354072
Hexadecimal
0x1D83A
Base64
Adg6
One's complement
4,294,846,405 (32-bit)
Scientific notation
1.2089 × 10⁵
As a duration
120,890 s = 1 day, 9 hours, 34 minutes, 50 seconds
In other bases
ternary (3) 20010211102
quaternary (4) 131200322
quinary (5) 12332030
senary (6) 2331402
septenary (7) 1012310
nonary (9) 203742
undecimal (11) 82910
duodecimal (12) 59b62
tridecimal (13) 43043
tetradecimal (14) 320b0
pentadecimal (15) 25c45

As an angle

120,890° = 335 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκωϟʹ
Mayan (base 20)
𝋯·𝋢·𝋤·𝋪
Chinese
一十二萬零八百九十
Chinese (financial)
壹拾貳萬零捌佰玖拾
In other modern scripts
Eastern Arabic ١٢٠٨٩٠ Devanagari १२०८९० Bengali ১২০৮৯০ Tamil ௧௨௦௮௯௦ Thai ๑๒๐๘๙๐ Tibetan ༡༢༠༨༩༠ Khmer ១២០៨៩០ Lao ໑໒໐໘໙໐ Burmese ၁၂၀၈၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120890, here are decompositions:

  • 13 + 120877 = 120890
  • 19 + 120871 = 120890
  • 43 + 120847 = 120890
  • 61 + 120829 = 120890
  • 67 + 120823 = 120890
  • 73 + 120817 = 120890
  • 79 + 120811 = 120890
  • 127 + 120763 = 120890

Showing the first eight; more decompositions exist.

Unicode codepoint
𝠺
Signwriting Hand-Fist Index Thumb Angled Out Middle Up
U+1D83A
Other symbol (So)

UTF-8 encoding: F0 9D A0 BA (4 bytes).

Hex color
#01D83A
RGB(1, 216, 58)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.58.

Address
0.1.216.58
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.58

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 120,890 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 120890 first appears in π at position 619,549 of the decimal expansion (the 619,549ordinal-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.