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120,872

120,872 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.).

120,872 (one hundred twenty thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 29 × 521. Written other ways, in hexadecimal, 0x1D828.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
278,021
Square (n²)
14,610,040,384
Cube (n³)
1,765,944,801,294,848
Divisor count
16
σ(n) — sum of divisors
234,900
φ(n) — Euler's totient
58,240
Sum of prime factors
556

Primality

Prime factorization: 2 3 × 29 × 521

Nearest primes: 120,871 (−1) · 120,877 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 116 · 232 · 521 · 1042 · 2084 · 4168 · 15109 · 30218 · 60436 (half) · 120872
Aliquot sum (sum of proper divisors): 114,028
Factor pairs (a × b = 120,872)
1 × 120872
2 × 60436
4 × 30218
8 × 15109
29 × 4168
58 × 2084
116 × 1042
232 × 521
First multiples
120,872 · 241,744 (double) · 362,616 · 483,488 · 604,360 · 725,232 · 846,104 · 966,976 · 1,087,848 · 1,208,720

Sums & aliquot sequence

As a sum of two squares: 34² + 346² = 214² + 274²
As consecutive integers: 7,547 + 7,548 + … + 7,562 4,154 + 4,155 + … + 4,182 29 + 30 + … + 492
Aliquot sequence: 120,872 114,028 92,612 84,166 42,086 26,818 19,838 17,122 12,254 7,834 3,920 6,682 4,154 2,374 1,190 1,402 704 — unresolved within range

Continued fraction of √n

√120,872 = [347; (1, 1, 1, 694)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eight hundred seventy-two
Ordinal
120872nd
Binary
11101100000101000
Octal
354050
Hexadecimal
0x1D828
Base64
Adgo
One's complement
4,294,846,423 (32-bit)
Scientific notation
1.20872 × 10⁵
As a duration
120,872 s = 1 day, 9 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 20010210202
quaternary (4) 131200220
quinary (5) 12331442
senary (6) 2331332
septenary (7) 1012253
nonary (9) 203722
undecimal (11) 828a4
duodecimal (12) 59b48
tridecimal (13) 4302b
tetradecimal (14) 3209a
pentadecimal (15) 25c32
Palindromic in base 6

As an angle

120,872° = 335 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκωοβʹ
Mayan (base 20)
𝋯·𝋢·𝋣·𝋬
Chinese
一十二萬零八百七十二
Chinese (financial)
壹拾貳萬零捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٠٨٧٢ Devanagari १२०८७२ Bengali ১২০৮৭২ Tamil ௧௨௦௮௭௨ Thai ๑๒๐๘๗๒ Tibetan ༡༢༠༨༧༢ Khmer ១២០៨៧២ Lao ໑໒໐໘໗໒ Burmese ၁၂၀၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120872, here are decompositions:

  • 43 + 120829 = 120872
  • 61 + 120811 = 120872
  • 109 + 120763 = 120872
  • 151 + 120721 = 120872
  • 163 + 120709 = 120872
  • 181 + 120691 = 120872
  • 211 + 120661 = 120872
  • 523 + 120349 = 120872

Showing the first eight; more decompositions exist.

Unicode codepoint
𝠨
Signwriting Hand-Fist Index Middle Thumb Cupped
U+1D828
Other symbol (So)

UTF-8 encoding: F0 9D A0 A8 (4 bytes).

Hex color
#01D828
RGB(1, 216, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.40.

Address
0.1.216.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.40

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 120,872 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.