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1,050,840

1,050,840 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.).

1,050,840 (one million fifty thousand eight hundred forty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 7 × 139. Its proper divisors sum to 2,981,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1008D8.

Abundant Number Arithmetic Number 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
480,501
Square (n²)
1,104,264,705,600
Cube (n³)
1,160,405,523,232,704,000
Divisor count
128
σ(n) — sum of divisors
4,032,000
φ(n) — Euler's totient
238,464
Sum of prime factors
166

Primality

Prime factorization: 2 3 × 3 3 × 5 × 7 × 139

Nearest primes: 1,050,817 (−23) · 1,050,851 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 54 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 105 · 108 · 120 · 126 · 135 · 139 · 140 · 168 · 180 · 189 · 210 · 216 · 252 · 270 · 278 · 280 · 315 · 360 · 378 · 417 · 420 · 504 · 540 · 556 · 630 · 695 · 756 · 834 · 840 · 945 · 973 · 1080 · 1112 · 1251 · 1260 · 1390 · 1512 · 1668 · 1890 · 1946 · 2085 · 2502 · 2520 · 2780 · 2919 · 3336 · 3753 · 3780 · 3892 · 4170 · 4865 · 5004 · 5560 · 5838 · 6255 · 7506 · 7560 · 7784 · 8340 · 8757 · 9730 · 10008 · 11676 · 12510 · 14595 · 15012 · 16680 · 17514 · 18765 · 19460 · 23352 · 25020 · 26271 · 29190 · 30024 · 35028 · 37530 · 38920 · 43785 · 50040 · 52542 · 58380 · 70056 · 75060 · 87570 · 105084 · 116760 · 131355 · 150120 · 175140 · 210168 · 262710 · 350280 · 525420 (half) · 1050840
Aliquot sum (sum of proper divisors): 2,981,160
Factor pairs (a × b = 1,050,840)
1 × 1050840
2 × 525420
3 × 350280
4 × 262710
5 × 210168
6 × 175140
7 × 150120
8 × 131355
9 × 116760
10 × 105084
12 × 87570
14 × 75060
15 × 70056
18 × 58380
20 × 52542
21 × 50040
24 × 43785
27 × 38920
28 × 37530
30 × 35028
35 × 30024
36 × 29190
40 × 26271
42 × 25020
45 × 23352
54 × 19460
56 × 18765
60 × 17514
63 × 16680
70 × 15012
72 × 14595
84 × 12510
90 × 11676
105 × 10008
108 × 9730
120 × 8757
126 × 8340
135 × 7784
139 × 7560
140 × 7506
168 × 6255
180 × 5838
189 × 5560
210 × 5004
216 × 4865
252 × 4170
270 × 3892
278 × 3780
280 × 3753
315 × 3336
360 × 2919
378 × 2780
417 × 2520
420 × 2502
504 × 2085
540 × 1946
556 × 1890
630 × 1668
695 × 1512
756 × 1390
834 × 1260
840 × 1251
945 × 1112
973 × 1080
First multiples
1,050,840 · 2,101,680 (double) · 3,152,520 · 4,203,360 · 5,254,200 · 6,305,040 · 7,355,880 · 8,406,720 · 9,457,560 · 10,508,400

Sums & aliquot sequence

As consecutive integers: 350,279 + 350,280 + 350,281 210,166 + 210,167 + 210,168 + 210,169 + 210,170 150,117 + 150,118 + … + 150,123 116,756 + 116,757 + … + 116,764
Aliquot sequence: 1,050,840 2,981,160 9,223,110 16,604,874 25,668,630 49,810,410 99,696,150 175,025,850 259,038,630 423,005,850 750,169,062 927,629,658 1,156,675,110 1,620,370,362 1,869,658,278 1,877,279,898 2,170,646,502 — unresolved within range

Continued fraction of √n

√1,050,840 = [1025; (9, 1, 1, 6, 1, 1, 3, 5, 2, 1, 1, 10, 1, 1, 4, 1, 1, 4, 3, 1, 1, 227, 4, 3, …)]

Representations

In words
one million fifty thousand eight hundred forty
Ordinal
1050840th
Binary
100000000100011011000
Octal
4004330
Hexadecimal
0x1008D8
Base64
EAjY
One's complement
4,293,916,455 (32-bit)
Scientific notation
1.05084 × 10⁶
As a duration
1,050,840 s = 12 days, 3 hours, 54 minutes
In other bases
ternary (3) 1222101111000
quaternary (4) 10000203120
quinary (5) 232111330
senary (6) 34305000
septenary (7) 11634450
nonary (9) 1871430
undecimal (11) 65856a
duodecimal (12) 428160
tridecimal (13) 2aa3cb
tetradecimal (14) 1d4d60
pentadecimal (15) 15b560

As an angle

1,050,840° = 2,919 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬零八百四十
Chinese (financial)
壹佰零伍萬零捌佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٠٨٤٠ Devanagari १०५०८४० Bengali ১০৫০৮৪০ Tamil ௧௦௫௦௮௪௦ Thai ๑๐๕๐๘๔๐ Tibetan ༡༠༥༠༨༤༠ Khmer ១០៥០៨៤០ Lao ໑໐໕໐໘໔໐ Burmese ၁၀၅၀၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050840, here are decompositions:

  • 23 + 1050817 = 1050840
  • 29 + 1050811 = 1050840
  • 59 + 1050781 = 1050840
  • 67 + 1050773 = 1050840
  • 71 + 1050769 = 1050840
  • 97 + 1050743 = 1050840
  • 101 + 1050739 = 1050840
  • 103 + 1050737 = 1050840

Showing the first eight; more decompositions exist.

Hex color
#1008D8
RGB(16, 8, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.8.216.

Address
0.16.8.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.8.216

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 0840 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0840-05-01 (DMMYYYY (Euro, single-digit day))
  • 0840-10-05 (MMDYYYY (US, single-digit day))
  • 0840-05-10 (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 1,050,840 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°.