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127,040

127,040 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.).

127,040 (one hundred twenty-seven thousand forty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 397. Its proper divisors sum to 176,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F040.

Abundant Number Evil Number Gapful Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
40,721
Recamán's sequence
a(499,287) = 127,040
Square (n²)
16,139,161,600
Cube (n³)
2,050,319,089,664,000
Divisor count
28
σ(n) — sum of divisors
303,276
φ(n) — Euler's totient
50,688
Sum of prime factors
414

Primality

Prime factorization: 2 6 × 5 × 397

Nearest primes: 127,037 (−3) · 127,051 (+11)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 397 · 794 · 1588 · 1985 · 3176 · 3970 · 6352 · 7940 · 12704 · 15880 · 25408 · 31760 · 63520 (half) · 127040
Aliquot sum (sum of proper divisors): 176,236
Factor pairs (a × b = 127,040)
1 × 127040
2 × 63520
4 × 31760
5 × 25408
8 × 15880
10 × 12704
16 × 7940
20 × 6352
32 × 3970
40 × 3176
64 × 1985
80 × 1588
160 × 794
320 × 397
First multiples
127,040 · 254,080 (double) · 381,120 · 508,160 · 635,200 · 762,240 · 889,280 · 1,016,320 · 1,143,360 · 1,270,400

Sums & aliquot sequence

As a sum of two squares: 56² + 352² = 248² + 256²
As consecutive integers: 25,406 + 25,407 + 25,408 + 25,409 + 25,410 929 + 930 + … + 1,056 122 + 123 + … + 518
Aliquot sequence: 127,040 176,236 132,184 150,056 131,314 65,660 97,132 97,188 185,052 308,644 321,244 396,956 397,012 469,868 485,044 543,116 634,732 — unresolved within range

Continued fraction of √n

√127,040 = [356; (2, 2, 1, 10, 3, 1, 22, 4, 5, 1, 2, 1, 8, 3, 1, 1, 10, 1, 1, 3, 8, 1, 2, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand forty
Ordinal
127040th
Binary
11111000001000000
Octal
370100
Hexadecimal
0x1F040
Base64
AfBA
One's complement
4,294,840,255 (32-bit)
Scientific notation
1.2704 × 10⁵
As a duration
127,040 s = 1 day, 11 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 20110021012
quaternary (4) 133001000
quinary (5) 13031130
senary (6) 2420052
septenary (7) 1036244
nonary (9) 213235
undecimal (11) 874a1
duodecimal (12) 61628
tridecimal (13) 45a94
tetradecimal (14) 34424
pentadecimal (15) 27995

As an angle

127,040° = 352 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκζμʹ
Mayan (base 20)
𝋯·𝋱·𝋬·𝋠
Chinese
一十二萬七千零四十
Chinese (financial)
壹拾貳萬柒仟零肆拾
In other modern scripts
Eastern Arabic ١٢٧٠٤٠ Devanagari १२७०४० Bengali ১২৭০৪০ Tamil ௧௨௭௦௪௦ Thai ๑๒๗๐๔๐ Tibetan ༡༢༧༠༤༠ Khmer ១២៧០៤០ Lao ໑໒໗໐໔໐ Burmese ၁၂၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127040, here are decompositions:

  • 3 + 127037 = 127040
  • 7 + 127033 = 127040
  • 73 + 126967 = 127040
  • 79 + 126961 = 127040
  • 97 + 126943 = 127040
  • 127 + 126913 = 127040
  • 181 + 126859 = 127040
  • 283 + 126757 = 127040

Showing the first eight; more decompositions exist.

Unicode codepoint
🁀
Domino Tile Horizontal-02-01
U+1F040
Other symbol (So)

UTF-8 encoding: F0 9F 81 80 (4 bytes).

Hex color
#01F040
RGB(1, 240, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.64.

Address
0.1.240.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.64

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 127,040 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 127040 first appears in π at position 369,099 of the decimal expansion (the 369,099ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.