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1,050,420

1,050,420 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.).

1,050,420 (one million fifty thousand four hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3 × 5 × 7 × 41 × 61. Its proper divisors sum to 2,449,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100734.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
240,501
Square (n²)
1,103,382,176,400
Cube (n³)
1,159,014,705,734,088,000
Divisor count
96
σ(n) — sum of divisors
3,499,776
φ(n) — Euler's totient
230,400
Sum of prime factors
121

Primality

Prime factorization: 2 2 × 3 × 5 × 7 × 41 × 61

Nearest primes: 1,050,391 (−29) · 1,050,421 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 41 · 42 · 60 · 61 · 70 · 82 · 84 · 105 · 122 · 123 · 140 · 164 · 183 · 205 · 210 · 244 · 246 · 287 · 305 · 366 · 410 · 420 · 427 · 492 · 574 · 610 · 615 · 732 · 820 · 854 · 861 · 915 · 1148 · 1220 · 1230 · 1281 · 1435 · 1708 · 1722 · 1830 · 2135 · 2460 · 2501 · 2562 · 2870 · 3444 · 3660 · 4270 · 4305 · 5002 · 5124 · 5740 · 6405 · 7503 · 8540 · 8610 · 10004 · 12505 · 12810 · 15006 · 17220 · 17507 · 25010 · 25620 · 30012 · 35014 · 37515 · 50020 · 52521 · 70028 · 75030 · 87535 · 105042 · 150060 · 175070 · 210084 · 262605 · 350140 · 525210 (half) · 1050420
Aliquot sum (sum of proper divisors): 2,449,356
Factor pairs (a × b = 1,050,420)
1 × 1050420
2 × 525210
3 × 350140
4 × 262605
5 × 210084
6 × 175070
7 × 150060
10 × 105042
12 × 87535
14 × 75030
15 × 70028
20 × 52521
21 × 50020
28 × 37515
30 × 35014
35 × 30012
41 × 25620
42 × 25010
60 × 17507
61 × 17220
70 × 15006
82 × 12810
84 × 12505
105 × 10004
122 × 8610
123 × 8540
140 × 7503
164 × 6405
183 × 5740
205 × 5124
210 × 5002
244 × 4305
246 × 4270
287 × 3660
305 × 3444
366 × 2870
410 × 2562
420 × 2501
427 × 2460
492 × 2135
574 × 1830
610 × 1722
615 × 1708
732 × 1435
820 × 1281
854 × 1230
861 × 1220
915 × 1148
First multiples
1,050,420 · 2,100,840 (double) · 3,151,260 · 4,201,680 · 5,252,100 · 6,302,520 · 7,352,940 · 8,403,360 · 9,453,780 · 10,504,200

Sums & aliquot sequence

As consecutive integers: 350,139 + 350,140 + 350,141 210,082 + 210,083 + 210,084 + 210,085 + 210,086 150,057 + 150,058 + … + 150,063 131,299 + 131,300 + … + 131,306
Aliquot sequence: 1,050,420 2,449,356 4,587,828 7,646,604 14,233,716 27,625,374 47,332,674 59,460,474 64,631,238 83,097,402 83,529,318 83,844,618 114,269,718 114,269,730 160,266,270 224,710,530 394,604,670 — unresolved within range

Continued fraction of √n

√1,050,420 = [1024; (1, 8, 1, 2048)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million fifty thousand four hundred twenty
Ordinal
1050420th
Binary
100000000011100110100
Octal
4003464
Hexadecimal
0x100734
Base64
EAc0
One's complement
4,293,916,875 (32-bit)
Scientific notation
1.05042 × 10⁶
As a duration
1,050,420 s = 12 days, 3 hours, 47 minutes
In other bases
ternary (3) 1222100220110
quaternary (4) 10000130310
quinary (5) 232103140
senary (6) 34303020
septenary (7) 11633310
nonary (9) 1870813
undecimal (11) 658218
duodecimal (12) 427a70
tridecimal (13) 2aa167
tetradecimal (14) 1d4b40
pentadecimal (15) 15b380

As an angle

1,050,420° = 2,917 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬零四百二十
Chinese (financial)
壹佰零伍萬零肆佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٠٤٢٠ Devanagari १०५०४२० Bengali ১০৫০৪২০ Tamil ௧௦௫௦௪௨௦ Thai ๑๐๕๐๔๒๐ Tibetan ༡༠༥༠༤༢༠ Khmer ១០៥០៤២០ Lao ໑໐໕໐໔໒໐ Burmese ၁၀၅၀၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050420, here are decompositions:

  • 29 + 1050391 = 1050420
  • 53 + 1050367 = 1050420
  • 71 + 1050349 = 1050420
  • 83 + 1050337 = 1050420
  • 89 + 1050331 = 1050420
  • 97 + 1050323 = 1050420
  • 103 + 1050317 = 1050420
  • 113 + 1050307 = 1050420

Showing the first eight; more decompositions exist.

Hex color
#100734
RGB(16, 7, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.7.52.

Address
0.16.7.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.7.52

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 0420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0420-05-01 (DMMYYYY (Euro, single-digit day))
  • 0420-10-05 (MMDYYYY (US, single-digit day))
  • 0420-05-10 (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 1,050,420 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°.