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127,136

127,136 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.).

127,136 (one hundred twenty-seven thousand one hundred thirty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 29 × 137. Its proper divisors sum to 133,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F0A0.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
631,721
Recamán's sequence
a(499,095) = 127,136
Square (n²)
16,163,562,496
Cube (n³)
2,054,970,681,491,456
Divisor count
24
σ(n) — sum of divisors
260,820
φ(n) — Euler's totient
60,928
Sum of prime factors
176

Primality

Prime factorization: 2 5 × 29 × 137

Nearest primes: 127,133 (−3) · 127,139 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 116 · 137 · 232 · 274 · 464 · 548 · 928 · 1096 · 2192 · 3973 · 4384 · 7946 · 15892 · 31784 · 63568 (half) · 127136
Aliquot sum (sum of proper divisors): 133,684
Factor pairs (a × b = 127,136)
1 × 127136
2 × 63568
4 × 31784
8 × 15892
16 × 7946
29 × 4384
32 × 3973
58 × 2192
116 × 1096
137 × 928
232 × 548
274 × 464
First multiples
127,136 · 254,272 (double) · 381,408 · 508,544 · 635,680 · 762,816 · 889,952 · 1,017,088 · 1,144,224 · 1,271,360

Sums & aliquot sequence

As a sum of two squares: 20² + 356² = 244² + 260²
As consecutive integers: 4,370 + 4,371 + … + 4,398 1,955 + 1,956 + … + 2,018 860 + 861 + … + 996
Aliquot sequence: 127,136 133,684 112,716 184,308 245,772 375,576 563,424 915,816 1,582,584 2,702,856 4,574,904 7,536,216 11,496,984 17,245,536 39,218,592 85,394,400 292,581,408 — unresolved within range

Continued fraction of √n

√127,136 = [356; (1, 1, 3, 1, 1, 2, 1, 5, 1, 1, 1, 5, 4, 10, 1, 2, 1, 2, 1, 2, 101, 1, 1, 28, …)]

Representations

In words
one hundred twenty-seven thousand one hundred thirty-six
Ordinal
127136th
Binary
11111000010100000
Octal
370240
Hexadecimal
0x1F0A0
Base64
AfCg
One's complement
4,294,840,159 (32-bit)
Scientific notation
1.27136 × 10⁵
As a duration
127,136 s = 1 day, 11 hours, 18 minutes, 56 seconds
In other bases
ternary (3) 20110101202
quaternary (4) 133002200
quinary (5) 13032021
senary (6) 2420332
septenary (7) 1036442
nonary (9) 213352
undecimal (11) 87579
duodecimal (12) 616a8
tridecimal (13) 45b39
tetradecimal (14) 34492
pentadecimal (15) 27a0b

As an angle

127,136° = 353 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκζρλϛʹ
Mayan (base 20)
𝋯·𝋱·𝋰·𝋰
Chinese
一十二萬七千一百三十六
Chinese (financial)
壹拾貳萬柒仟壹佰參拾陸
In other modern scripts
Eastern Arabic ١٢٧١٣٦ Devanagari १२७१३६ Bengali ১২৭১৩৬ Tamil ௧௨௭௧௩௬ Thai ๑๒๗๑๓๖ Tibetan ༡༢༧༡༣༦ Khmer ១២៧១៣៦ Lao ໑໒໗໑໓໖ Burmese ၁၂၇၁၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127136, here are decompositions:

  • 3 + 127133 = 127136
  • 13 + 127123 = 127136
  • 103 + 127033 = 127136
  • 193 + 126943 = 127136
  • 223 + 126913 = 127136
  • 277 + 126859 = 127136
  • 313 + 126823 = 127136
  • 379 + 126757 = 127136

Showing the first eight; more decompositions exist.

Unicode codepoint
🂠
Playing Card Back
U+1F0A0
Other symbol (So)

UTF-8 encoding: F0 9F 82 A0 (4 bytes).

Hex color
#01F0A0
RGB(1, 240, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.160.

Address
0.1.240.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.160

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 127,136 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 127136 first appears in π at position 462,229 of the decimal expansion (the 462,229ordinal-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.