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120,820

120,820 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.).

120,820 (one hundred twenty thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 863. Its proper divisors sum to 169,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
28,021
Square (n²)
14,597,472,400
Cube (n³)
1,763,666,615,368,000
Divisor count
24
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
41,376
Sum of prime factors
879

Primality

Prime factorization: 2 2 × 5 × 7 × 863

Nearest primes: 120,817 (−3) · 120,823 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 140 · 863 · 1726 · 3452 · 4315 · 6041 · 8630 · 12082 · 17260 · 24164 · 30205 · 60410 (half) · 120820
Aliquot sum (sum of proper divisors): 169,484
Factor pairs (a × b = 120,820)
1 × 120820
2 × 60410
4 × 30205
5 × 24164
7 × 17260
10 × 12082
14 × 8630
20 × 6041
28 × 4315
35 × 3452
70 × 1726
140 × 863
First multiples
120,820 · 241,640 (double) · 362,460 · 483,280 · 604,100 · 724,920 · 845,740 · 966,560 · 1,087,380 · 1,208,200

Sums & aliquot sequence

As consecutive integers: 24,162 + 24,163 + 24,164 + 24,165 + 24,166 17,257 + 17,258 + … + 17,263 15,099 + 15,100 + … + 15,106 3,435 + 3,436 + … + 3,469
Aliquot sequence: 120,820 169,484 169,540 247,016 331,864 338,456 296,164 284,444 259,876 194,914 104,714 56,314 30,554 15,280 20,432 19,186 10,298 — unresolved within range

Continued fraction of √n

√120,820 = [347; (1, 1, 2, 4, 2, 2, 1, 23, 3, 1, 4, 1, 1, 4, 8, 2, 7, 1, 4, 8, 2, 1, 1, 1, …)]

Representations

In words
one hundred twenty thousand eight hundred twenty
Ordinal
120820th
Binary
11101011111110100
Octal
353764
Hexadecimal
0x1D7F4
Base64
Adf0
One's complement
4,294,846,475 (32-bit)
Scientific notation
1.2082 × 10⁵
As a duration
120,820 s = 1 day, 9 hours, 33 minutes, 40 seconds
In other bases
ternary (3) 20010201211
quaternary (4) 131133310
quinary (5) 12331240
senary (6) 2331204
septenary (7) 1012150
nonary (9) 203654
undecimal (11) 82857
duodecimal (12) 59b04
tridecimal (13) 42cbb
tetradecimal (14) 32060
pentadecimal (15) 25bea

As an angle

120,820° = 335 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκωκʹ
Mayan (base 20)
𝋯·𝋢·𝋡·𝋠
Chinese
一十二萬零八百二十
Chinese (financial)
壹拾貳萬零捌佰貳拾
In other modern scripts
Eastern Arabic ١٢٠٨٢٠ Devanagari १२०८२० Bengali ১২০৮২০ Tamil ௧௨௦௮௨௦ Thai ๑๒๐๘๒๐ Tibetan ༡༢༠༨༢༠ Khmer ១២០៨២០ Lao ໑໒໐໘໒໐ Burmese ၁၂၀၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120820, here are decompositions:

  • 3 + 120817 = 120820
  • 41 + 120779 = 120820
  • 53 + 120767 = 120820
  • 71 + 120749 = 120820
  • 83 + 120737 = 120820
  • 107 + 120713 = 120820
  • 131 + 120689 = 120820
  • 149 + 120671 = 120820

Showing the first eight; more decompositions exist.

Unicode codepoint
𝟴
Mathematical Sans-Serif Bold Digit Eight
U+1D7F4
Decimal digit (Nd)

UTF-8 encoding: F0 9D 9F B4 (4 bytes).

Hex color
#01D7F4
RGB(1, 215, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.244.

Address
0.1.215.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.244

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 120,820 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