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120,128

120,128 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.).

120,128 (one hundred twenty thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 1,877. Written other ways, in hexadecimal, 0x1D540.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
821,021
Recamán's sequence
a(239,840) = 120,128
Square (n²)
14,430,736,384
Cube (n³)
1,733,535,500,337,152
Divisor count
14
σ(n) — sum of divisors
238,506
φ(n) — Euler's totient
60,032
Sum of prime factors
1,889

Primality

Prime factorization: 2 6 × 1877

Nearest primes: 120,121 (−7) · 120,157 (+29)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 1877 · 3754 · 7508 · 15016 · 30032 · 60064 (half) · 120128
Aliquot sum (sum of proper divisors): 118,378
Factor pairs (a × b = 120,128)
1 × 120128
2 × 60064
4 × 30032
8 × 15016
16 × 7508
32 × 3754
64 × 1877
First multiples
120,128 · 240,256 (double) · 360,384 · 480,512 · 600,640 · 720,768 · 840,896 · 961,024 · 1,081,152 · 1,201,280

Sums & aliquot sequence

As a sum of two squares: 112² + 328²
As consecutive integers: 875 + 876 + … + 1,002
Aliquot sequence: 120,128 118,378 80,702 40,354 20,180 22,240 30,680 44,920 56,240 85,120 159,680 221,320 323,000 519,400 911,870 755,218 420,632 — unresolved within range

Continued fraction of √n

√120,128 = [346; (1, 1, 2, 7, 2, 1, 1, 2, 1, 16, 5, 2, 1, 1, 24, 6, 10, 1, 1, 1, 98, 2, 1, 2, …)]

Representations

In words
one hundred twenty thousand one hundred twenty-eight
Ordinal
120128th
Binary
11101010101000000
Octal
352500
Hexadecimal
0x1D540
Base64
AdVA
One's complement
4,294,847,167 (32-bit)
Scientific notation
1.20128 × 10⁵
As a duration
120,128 s = 1 day, 9 hours, 22 minutes, 8 seconds
In other bases
ternary (3) 20002210012
quaternary (4) 131111000
quinary (5) 12321003
senary (6) 2324052
septenary (7) 1010141
nonary (9) 202705
undecimal (11) 82288
duodecimal (12) 59628
tridecimal (13) 428a8
tetradecimal (14) 31ac8
pentadecimal (15) 258d8

As an angle

120,128° = 333 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκρκηʹ
Mayan (base 20)
𝋯·𝋠·𝋦·𝋨
Chinese
一十二萬零一百二十八
Chinese (financial)
壹拾貳萬零壹佰貳拾捌
In other modern scripts
Eastern Arabic ١٢٠١٢٨ Devanagari १२०१२८ Bengali ১২০১২৮ Tamil ௧௨௦௧௨௮ Thai ๑๒๐๑๒๘ Tibetan ༡༢༠༡༢༨ Khmer ១២០១២៨ Lao ໑໒໐໑໒໘ Burmese ၁၂၀၁၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120128, here are decompositions:

  • 7 + 120121 = 120128
  • 31 + 120097 = 120128
  • 37 + 120091 = 120128
  • 61 + 120067 = 120128
  • 79 + 120049 = 120128
  • 157 + 119971 = 120128
  • 199 + 119929 = 120128
  • 277 + 119851 = 120128

Showing the first eight; more decompositions exist.

Unicode codepoint
𝕀
Mathematical Double-Struck Capital I
U+1D540
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 95 80 (4 bytes).

Hex color
#01D540
RGB(1, 213, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.64.

Address
0.1.213.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.213.64

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 120,128 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 120128 first appears in π at position 374,583 of the decimal expansion (the 374,583ordinal-suffix:rd 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.