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1,061,340

1,061,340 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.).

1,061,340 (one million sixty-one thousand three hundred forty) is an even 7-digit number. It is a composite number with 108 divisors, and factors as 2² × 3 × 5 × 7² × 19². Its proper divisors sum to 2,587,116, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1031DC.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
431,601
Square (n²)
1,126,442,595,600
Cube (n³)
1,195,538,584,414,104,000
Divisor count
108
σ(n) — sum of divisors
3,648,456
φ(n) — Euler's totient
229,824
Sum of prime factors
64

Primality

Prime factorization: 2 2 × 3 × 5 × 7 2 × 19 2

Nearest primes: 1,061,323 (−17) · 1,061,353 (+13)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 19 · 20 · 21 · 28 · 30 · 35 · 38 · 42 · 49 · 57 · 60 · 70 · 76 · 84 · 95 · 98 · 105 · 114 · 133 · 140 · 147 · 190 · 196 · 210 · 228 · 245 · 266 · 285 · 294 · 361 · 380 · 399 · 420 · 490 · 532 · 570 · 588 · 665 · 722 · 735 · 798 · 931 · 980 · 1083 · 1140 · 1330 · 1444 · 1470 · 1596 · 1805 · 1862 · 1995 · 2166 · 2527 · 2660 · 2793 · 2940 · 3610 · 3724 · 3990 · 4332 · 4655 · 5054 · 5415 · 5586 · 7220 · 7581 · 7980 · 9310 · 10108 · 10830 · 11172 · 12635 · 13965 · 15162 · 17689 · 18620 · 21660 · 25270 · 27930 · 30324 · 35378 · 37905 · 50540 · 53067 · 55860 · 70756 · 75810 · 88445 · 106134 · 151620 · 176890 · 212268 · 265335 · 353780 · 530670 (half) · 1061340
Aliquot sum (sum of proper divisors): 2,587,116
Factor pairs (a × b = 1,061,340)
1 × 1061340
2 × 530670
3 × 353780
4 × 265335
5 × 212268
6 × 176890
7 × 151620
10 × 106134
12 × 88445
14 × 75810
15 × 70756
19 × 55860
20 × 53067
21 × 50540
28 × 37905
30 × 35378
35 × 30324
38 × 27930
42 × 25270
49 × 21660
57 × 18620
60 × 17689
70 × 15162
76 × 13965
84 × 12635
95 × 11172
98 × 10830
105 × 10108
114 × 9310
133 × 7980
140 × 7581
147 × 7220
190 × 5586
196 × 5415
210 × 5054
228 × 4655
245 × 4332
266 × 3990
285 × 3724
294 × 3610
361 × 2940
380 × 2793
399 × 2660
420 × 2527
490 × 2166
532 × 1995
570 × 1862
588 × 1805
665 × 1596
722 × 1470
735 × 1444
798 × 1330
931 × 1140
980 × 1083
First multiples
1,061,340 · 2,122,680 (double) · 3,184,020 · 4,245,360 · 5,306,700 · 6,368,040 · 7,429,380 · 8,490,720 · 9,552,060 · 10,613,400

Sums & aliquot sequence

As consecutive integers: 353,779 + 353,780 + 353,781 212,266 + 212,267 + 212,268 + 212,269 + 212,270 151,617 + 151,618 + … + 151,623 132,664 + 132,665 + … + 132,671
Aliquot sequence: 1,061,340 → 2,587,116 → 4,679,444 → 5,530,924 → 5,728,856 → 6,547,384 → 5,806,736 → 6,309,676 → 4,760,796 → 6,347,756 → 4,760,824 → 4,194,176 → 5,728,384 → 5,683,886 → 3,497,818 → 2,057,594 → 1,923,718 — unresolved within range

Continued fraction of √n

√1,061,340 = [1030; (4, 1, 2, 6, 1, 3, 2, 1, 1, 5, 8, 1, 1, 4, 3, 41, 1, 2, 1, 4, 1, 23, 2, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one million sixty-one thousand three hundred forty
Ordinal
1061340th
Binary
100000011000111011100
Octal
4030734
Hexadecimal
0x1031DC
Base64
EDHc
One's complement
4,293,905,955 (32-bit)
Scientific notation
1.06134 × 10⁶
As a duration
1,061,340 s = 12 days, 6 hours, 49 minutes
In other bases
ternary (3) 1222220212220
quaternary (4) 10003013130
quinary (5) 232430330
senary (6) 34425340
septenary (7) 12010200
nonary (9) 1886786
undecimal (11) 665445
duodecimal (12) 432250
tridecimal (13) 2b2117
tetradecimal (14) 1d8b00
pentadecimal (15) 15e710

As an angle

1,061,340° = 2,948 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零六萬一千三百四十
Chinese (financial)
壹佰零陸萬壹仟參佰肆拾
In other modern scripts
Eastern Arabic ١٠٦١٣٤٠ Devanagari १०६१३४० Bengali ১০৬১৩৪০ Tamil ௧௦௬௧௩௪௦ Thai ๑๐๖๑๓๔๐ Tibetan ༡༠༦༡༣༤༠ Khmer ១០៦១៣៤០ Lao ໑໐໖໑໓໔໐ Burmese ၁၀၆၁၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1061340, here are decompositions:

  • 17 + 1061323 = 1061340
  • 23 + 1061317 = 1061340
  • 29 + 1061311 = 1061340
  • 43 + 1061297 = 1061340
  • 53 + 1061287 = 1061340
  • 61 + 1061279 = 1061340
  • 67 + 1061273 = 1061340
  • 79 + 1061261 = 1061340

Showing the first eight; more decompositions exist.

Hex color
#1031DC
RGB(16, 49, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.49.220.

Address
0.16.49.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.49.220

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 6, 1340 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1340-06-01 (DMMYYYY (Euro, single-digit day))
  • 1340-10-06 (MMDYYYY (US, single-digit day))
  • 1340-06-10 (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 1,061,340 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°.