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127,400

127,400 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.).

127,400 (one hundred twenty-seven thousand four hundred) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 5² × 7² × 13. Its proper divisors sum to 243,670, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F1A8.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
4,721
Recamán's sequence
a(498,567) = 127,400
Square (n²)
16,230,760,000
Cube (n³)
2,067,798,824,000,000
Divisor count
72
σ(n) — sum of divisors
371,070
φ(n) — Euler's totient
40,320
Sum of prime factors
43

Primality

Prime factorization: 2 3 × 5 2 × 7 2 × 13

Nearest primes: 127,399 (−1) · 127,403 (+3)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 13 · 14 · 20 · 25 · 26 · 28 · 35 · 40 · 49 · 50 · 52 · 56 · 65 · 70 · 91 · 98 · 100 · 104 · 130 · 140 · 175 · 182 · 196 · 200 · 245 · 260 · 280 · 325 · 350 · 364 · 392 · 455 · 490 · 520 · 637 · 650 · 700 · 728 · 910 · 980 · 1225 · 1274 · 1300 · 1400 · 1820 · 1960 · 2275 · 2450 · 2548 · 2600 · 3185 · 3640 · 4550 · 4900 · 5096 · 6370 · 9100 · 9800 · 12740 · 15925 · 18200 · 25480 · 31850 · 63700 (half) · 127400
Aliquot sum (sum of proper divisors): 243,670
Factor pairs (a × b = 127,400)
1 × 127400
2 × 63700
4 × 31850
5 × 25480
7 × 18200
8 × 15925
10 × 12740
13 × 9800
14 × 9100
20 × 6370
25 × 5096
26 × 4900
28 × 4550
35 × 3640
40 × 3185
49 × 2600
50 × 2548
52 × 2450
56 × 2275
65 × 1960
70 × 1820
91 × 1400
98 × 1300
100 × 1274
104 × 1225
130 × 980
140 × 910
175 × 728
182 × 700
196 × 650
200 × 637
245 × 520
260 × 490
280 × 455
325 × 392
350 × 364
First multiples
127,400 · 254,800 (double) · 382,200 · 509,600 · 637,000 · 764,400 · 891,800 · 1,019,200 · 1,146,600 · 1,274,000

Sums & aliquot sequence

As a sum of two squares: 70² + 350² = 154² + 322² = 238² + 266²
As consecutive integers: 25,478 + 25,479 + 25,480 + 25,481 + 25,482 18,197 + 18,198 + … + 18,203 9,794 + 9,795 + … + 9,806 7,955 + 7,956 + … + 7,970
Aliquot sequence: 127,400 243,670 266,234 133,120 210,860 266,596 255,548 207,292 168,188 141,772 121,456 113,896 109,304 111,616 113,554 81,134 41,986 — unresolved within range

Continued fraction of √n

√127,400 = [356; (1, 13, 1, 1, 3, 14, 3, 1, 1, 13, 1, 712)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand four hundred
Ordinal
127400th
Binary
11111000110101000
Octal
370650
Hexadecimal
0x1F1A8
Base64
AfGo
One's complement
4,294,839,895 (32-bit)
Scientific notation
1.274 × 10⁵
As a duration
127,400 s = 1 day, 11 hours, 23 minutes, 20 seconds
In other bases
ternary (3) 20110202112
quaternary (4) 133012220
quinary (5) 13034100
senary (6) 2421452
septenary (7) 1040300
nonary (9) 213675
undecimal (11) 87799
duodecimal (12) 61888
tridecimal (13) 45cb0
tetradecimal (14) 34600
pentadecimal (15) 27b35

As an angle

127,400° = 353 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρκζυʹ
Mayan (base 20)
𝋯·𝋲·𝋪·𝋠
Chinese
一十二萬七千四百
Chinese (financial)
壹拾貳萬柒仟肆佰
In other modern scripts
Eastern Arabic ١٢٧٤٠٠ Devanagari १२७४०० Bengali ১২৭৪০০ Tamil ௧௨௭௪௦௦ Thai ๑๒๗๔๐๐ Tibetan ༡༢༧༤༠༠ Khmer ១២៧៤០០ Lao ໑໒໗໔໐໐ Burmese ၁၂၇၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127400, here are decompositions:

  • 37 + 127363 = 127400
  • 79 + 127321 = 127400
  • 103 + 127297 = 127400
  • 109 + 127291 = 127400
  • 139 + 127261 = 127400
  • 151 + 127249 = 127400
  • 181 + 127219 = 127400
  • 193 + 127207 = 127400

Showing the first eight; more decompositions exist.

Unicode codepoint
🆨
Squared Hi-Res
U+1F1A8
Other symbol (So)

UTF-8 encoding: F0 9F 86 A8 (4 bytes).

Hex color
#01F1A8
RGB(1, 241, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.241.168.

Address
0.1.241.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.241.168

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 127,400 and was likely granted around 1872.

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

Related reading

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