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120,448

120,448 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.).

120,448 (one hundred twenty thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 941. Written other ways, in hexadecimal, 0x1D680.

Deficient Number Frugal Number Odious Number Pernicious Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
844,021
Square (n²)
14,507,720,704
Cube (n³)
1,747,425,943,355,392
Divisor count
16
σ(n) — sum of divisors
240,210
φ(n) — Euler's totient
60,160
Sum of prime factors
955

Primality

Prime factorization: 2 7 × 941

Nearest primes: 120,431 (−17) · 120,473 (+25)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 941 · 1882 · 3764 · 7528 · 15056 · 30112 · 60224 (half) · 120448
Aliquot sum (sum of proper divisors): 119,762
Factor pairs (a × b = 120,448)
1 × 120448
2 × 60224
4 × 30112
8 × 15056
16 × 7528
32 × 3764
64 × 1882
128 × 941
First multiples
120,448 · 240,896 (double) · 361,344 · 481,792 · 602,240 · 722,688 · 843,136 · 963,584 · 1,084,032 · 1,204,480

Sums & aliquot sequence

As a sum of two squares: 152² + 312²
As consecutive integers: 343 + 344 + … + 598
Aliquot sequence: 120,448 119,762 61,354 30,680 44,920 56,240 85,120 159,680 221,320 323,000 519,400 911,870 755,218 420,632 368,068 337,532 298,684 — unresolved within range

Continued fraction of √n

√120,448 = [347; (17, 1, 3, 1, 10, 20, 1, 15, 1, 42, 2, 3, 1, 2, 1, 4, 1, 1, 10, 3, 2, 1, 3, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand four hundred forty-eight
Ordinal
120448th
Binary
11101011010000000
Octal
353200
Hexadecimal
0x1D680
Base64
AdaA
One's complement
4,294,846,847 (32-bit)
Scientific notation
1.20448 × 10⁵
As a duration
120,448 s = 1 day, 9 hours, 27 minutes, 28 seconds
In other bases
ternary (3) 20010020001
quaternary (4) 131122000
quinary (5) 12323243
senary (6) 2325344
septenary (7) 1011106
nonary (9) 203201
undecimal (11) 82549
duodecimal (12) 59854
tridecimal (13) 42a93
tetradecimal (14) 31c76
pentadecimal (15) 25a4d

As an angle

120,448° = 334 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκυμηʹ
Mayan (base 20)
𝋯·𝋡·𝋢·𝋨
Chinese
一十二萬零四百四十八
Chinese (financial)
壹拾貳萬零肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٠٤٤٨ Devanagari १२०४४८ Bengali ১২০৪৪৮ Tamil ௧௨௦௪௪௮ Thai ๑๒๐๔๔๘ Tibetan ༡༢༠༤༤༨ Khmer ១២០៤៤៨ Lao ໑໒໐໔໔໘ Burmese ၁၂၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120448, here are decompositions:

  • 17 + 120431 = 120448
  • 47 + 120401 = 120448
  • 149 + 120299 = 120448
  • 239 + 120209 = 120448
  • 281 + 120167 = 120448
  • 401 + 120047 = 120448
  • 431 + 120017 = 120448
  • 467 + 119981 = 120448

Showing the first eight; more decompositions exist.

Unicode codepoint
𝚀
Mathematical Monospace Capital Q
U+1D680
Uppercase letter (Lu)

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

Hex color
#01D680
RGB(1, 214, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.128.

Address
0.1.214.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.128

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 120,448 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 120448 first appears in π at position 903,465 of the decimal expansion (the 903,465ordinal-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