number.wiki
Live analysis

1,055,340

1,055,340 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.).

1,055,340 (one million fifty-five thousand three hundred forty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2² × 3² × 5 × 11 × 13 × 41. Its proper divisors sum to 2,797,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101A6C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
435,501
Square (n²)
1,113,742,515,600
Cube (n³)
1,175,377,026,413,304,000
Divisor count
144
σ(n) — sum of divisors
3,852,576
φ(n) — Euler's totient
230,400
Sum of prime factors
80

Primality

Prime factorization: 2 2 × 3 2 × 5 × 11 × 13 × 41

Nearest primes: 1,055,321 (−19) · 1,055,347 (+7)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 13 · 15 · 18 · 20 · 22 · 26 · 30 · 33 · 36 · 39 · 41 · 44 · 45 · 52 · 55 · 60 · 65 · 66 · 78 · 82 · 90 · 99 · 110 · 117 · 123 · 130 · 132 · 143 · 156 · 164 · 165 · 180 · 195 · 198 · 205 · 220 · 234 · 246 · 260 · 286 · 330 · 369 · 390 · 396 · 410 · 429 · 451 · 468 · 492 · 495 · 533 · 572 · 585 · 615 · 660 · 715 · 738 · 780 · 820 · 858 · 902 · 990 · 1066 · 1170 · 1230 · 1287 · 1353 · 1430 · 1476 · 1599 · 1716 · 1804 · 1845 · 1980 · 2132 · 2145 · 2255 · 2340 · 2460 · 2574 · 2665 · 2706 · 2860 · 3198 · 3690 · 4059 · 4290 · 4510 · 4797 · 5148 · 5330 · 5412 · 5863 · 6396 · 6435 · 6765 · 7380 · 7995 · 8118 · 8580 · 9020 · 9594 · 10660 · 11726 · 12870 · 13530 · 15990 · 16236 · 17589 · 19188 · 20295 · 23452 · 23985 · 25740 · 27060 · 29315 · 31980 · 35178 · 40590 · 47970 · 52767 · 58630 · 70356 · 81180 · 87945 · 95940 · 105534 · 117260 · 175890 · 211068 · 263835 · 351780 · 527670 (half) · 1055340
Aliquot sum (sum of proper divisors): 2,797,236
Factor pairs (a × b = 1,055,340)
1 × 1055340
2 × 527670
3 × 351780
4 × 263835
5 × 211068
6 × 175890
9 × 117260
10 × 105534
11 × 95940
12 × 87945
13 × 81180
15 × 70356
18 × 58630
20 × 52767
22 × 47970
26 × 40590
30 × 35178
33 × 31980
36 × 29315
39 × 27060
41 × 25740
44 × 23985
45 × 23452
52 × 20295
55 × 19188
60 × 17589
65 × 16236
66 × 15990
78 × 13530
82 × 12870
90 × 11726
99 × 10660
110 × 9594
117 × 9020
123 × 8580
130 × 8118
132 × 7995
143 × 7380
156 × 6765
164 × 6435
165 × 6396
180 × 5863
195 × 5412
198 × 5330
205 × 5148
220 × 4797
234 × 4510
246 × 4290
260 × 4059
286 × 3690
330 × 3198
369 × 2860
390 × 2706
396 × 2665
410 × 2574
429 × 2460
451 × 2340
468 × 2255
492 × 2145
495 × 2132
533 × 1980
572 × 1845
585 × 1804
615 × 1716
660 × 1599
715 × 1476
738 × 1430
780 × 1353
820 × 1287
858 × 1230
902 × 1170
990 × 1066
First multiples
1,055,340 · 2,110,680 (double) · 3,166,020 · 4,221,360 · 5,276,700 · 6,332,040 · 7,387,380 · 8,442,720 · 9,498,060 · 10,553,400

Sums & aliquot sequence

As consecutive integers: 351,779 + 351,780 + 351,781 211,066 + 211,067 + 211,068 + 211,069 + 211,070 131,914 + 131,915 + … + 131,921 117,256 + 117,257 + … + 117,264
Aliquot sequence: 1,055,340 → 2,797,236 → 5,050,604 → 4,467,940 → 5,512,016 → 5,350,384 → 6,211,376 → 5,823,196 → 4,986,484 → 3,859,920 → 9,442,800 → 24,638,104 → 21,558,356 → 16,306,912 → 15,797,384 → 13,956,616 → 12,528,584 — unresolved within range

Continued fraction of √n

√1,055,340 = [1027; (3, 2, 1, 3, 5, 2, 3, 2, 6, 1, 1, 56, 1, 1, 6, 2, 3, 2, 5, 3, 1, 2, 3, 2054)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand three hundred forty
Ordinal
1055340th
Binary
100000001101001101100
Octal
4015154
Hexadecimal
0x101A6C
Base64
EBps
One's complement
4,293,911,955 (32-bit)
Scientific notation
1.05534 × 10⁶
As a duration
1,055,340 s = 12 days, 5 hours, 9 minutes
In other bases
ternary (3) 1222121122200
quaternary (4) 10001221230
quinary (5) 232232330
senary (6) 34341500
septenary (7) 11653536
nonary (9) 1877580
undecimal (11) 660990
duodecimal (12) 42a890
tridecimal (13) 2ac480
tetradecimal (14) 1d6856
pentadecimal (15) 15ca60

As an angle

1,055,340° = 2,931 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬五千三百四十
Chinese (financial)
壹佰零伍萬伍仟參佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٥٣٤٠ Devanagari १०५५३४० Bengali ১০৫৫৩৪০ Tamil ௧௦௫௫௩௪௦ Thai ๑๐๕๕๓๔๐ Tibetan ༡༠༥༥༣༤༠ Khmer ១០៥៥៣៤០ Lao ໑໐໕໕໓໔໐ Burmese ၁၀၅၅၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055340, here are decompositions:

  • 19 + 1055321 = 1055340
  • 37 + 1055303 = 1055340
  • 71 + 1055269 = 1055340
  • 73 + 1055267 = 1055340
  • 79 + 1055261 = 1055340
  • 89 + 1055251 = 1055340
  • 107 + 1055233 = 1055340
  • 109 + 1055231 = 1055340

Showing the first eight; more decompositions exist.

Hex color
#101A6C
RGB(16, 26, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.26.108.

Address
0.16.26.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.26.108

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 5340 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5340-05-01 (DMMYYYY (Euro, single-digit day))
  • 5340-10-05 (MMDYYYY (US, single-digit day))
  • 5340-05-10 (DDMYYYY (Euro, single-digit month))
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 1,055,340 and was likely granted around 1912.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.