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127,120

127,120 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.).

127,120 (one hundred twenty-seven thousand one hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 227. Its proper divisors sum to 212,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F090.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable 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
21,721
Recamán's sequence
a(499,127) = 127,120
Square (n²)
16,159,494,400
Cube (n³)
2,054,194,928,128,000
Divisor count
40
σ(n) — sum of divisors
339,264
φ(n) — Euler's totient
43,392
Sum of prime factors
247

Primality

Prime factorization: 2 4 × 5 × 7 × 227

Nearest primes: 127,103 (−17) · 127,123 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 227 · 280 · 454 · 560 · 908 · 1135 · 1589 · 1816 · 2270 · 3178 · 3632 · 4540 · 6356 · 7945 · 9080 · 12712 · 15890 · 18160 · 25424 · 31780 · 63560 (half) · 127120
Aliquot sum (sum of proper divisors): 212,144
Factor pairs (a × b = 127,120)
1 × 127120
2 × 63560
4 × 31780
5 × 25424
7 × 18160
8 × 15890
10 × 12712
14 × 9080
16 × 7945
20 × 6356
28 × 4540
35 × 3632
40 × 3178
56 × 2270
70 × 1816
80 × 1589
112 × 1135
140 × 908
227 × 560
280 × 454
First multiples
127,120 · 254,240 (double) · 381,360 · 508,480 · 635,600 · 762,720 · 889,840 · 1,016,960 · 1,144,080 · 1,271,200

Sums & aliquot sequence

As consecutive integers: 25,422 + 25,423 + 25,424 + 25,425 + 25,426 18,157 + 18,158 + … + 18,163 3,957 + 3,958 + … + 3,988 3,615 + 3,616 + … + 3,649
Aliquot sequence: 127,120 212,144 198,916 150,755 46,669 8,051 181 1 0 — terminates at zero

Continued fraction of √n

√127,120 = [356; (1, 1, 5, 1, 12, 8, 2, 2, 3, 5, 1, 1, 2, 78, 1, 5, 6, 3, 1, 8, 22, 1, 7, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand one hundred twenty
Ordinal
127120th
Binary
11111000010010000
Octal
370220
Hexadecimal
0x1F090
Base64
AfCQ
One's complement
4,294,840,175 (32-bit)
Scientific notation
1.2712 × 10⁵
As a duration
127,120 s = 1 day, 11 hours, 18 minutes, 40 seconds
In other bases
ternary (3) 20110101011
quaternary (4) 133002100
quinary (5) 13031440
senary (6) 2420304
septenary (7) 1036420
nonary (9) 213334
undecimal (11) 87564
duodecimal (12) 61694
tridecimal (13) 45b26
tetradecimal (14) 34480
pentadecimal (15) 279ea

As an angle

127,120° = 353 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρκζρκʹ
Mayan (base 20)
𝋯·𝋱·𝋰·𝋠
Chinese
一十二萬七千一百二十
Chinese (financial)
壹拾貳萬柒仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٢٧١٢٠ Devanagari १२७१२० Bengali ১২৭১২০ Tamil ௧௨௭௧௨௦ Thai ๑๒๗๑๒๐ Tibetan ༡༢༧༡༢༠ Khmer ១២៧១២០ Lao ໑໒໗໑໒໐ Burmese ၁၂၇၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127120, here are decompositions:

  • 17 + 127103 = 127120
  • 41 + 127079 = 127120
  • 83 + 127037 = 127120
  • 89 + 127031 = 127120
  • 131 + 126989 = 127120
  • 197 + 126923 = 127120
  • 263 + 126857 = 127120
  • 269 + 126851 = 127120

Showing the first eight; more decompositions exist.

Unicode codepoint
🂐
Domino Tile Vertical-06-03
U+1F090
Other symbol (So)

UTF-8 encoding: F0 9F 82 90 (4 bytes).

Hex color
#01F090
RGB(1, 240, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.144.

Address
0.1.240.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.144

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 127,120 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 127120 first appears in π at position 216,731 of the decimal expansion (the 216,731ordinal-suffix:st 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