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1,052,368

1,052,368 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.).

1,052,368 (one million fifty-two thousand three hundred sixty-eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 17 × 53 × 73. Its proper divisors sum to 1,177,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100ED0.

Abundant Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
21 bits
Reversed
8,632,501
Square (n²)
1,107,478,407,424
Cube (n³)
1,165,474,836,663,980,032
Divisor count
40
σ(n) — sum of divisors
2,229,768
φ(n) — Euler's totient
479,232
Sum of prime factors
151

Primality

Prime factorization: 2 4 × 17 × 53 × 73

Nearest primes: 1,052,333 (−35) · 1,052,413 (+45)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 16 · 17 · 34 · 53 · 68 · 73 · 106 · 136 · 146 · 212 · 272 · 292 · 424 · 584 · 848 · 901 · 1168 · 1241 · 1802 · 2482 · 3604 · 3869 · 4964 · 7208 · 7738 · 9928 · 14416 · 15476 · 19856 · 30952 · 61904 · 65773 · 131546 · 263092 · 526184 (half) · 1052368
Aliquot sum (sum of proper divisors): 1,177,400
Factor pairs (a × b = 1,052,368)
1 × 1052368
2 × 526184
4 × 263092
8 × 131546
16 × 65773
17 × 61904
34 × 30952
53 × 19856
68 × 15476
73 × 14416
106 × 9928
136 × 7738
146 × 7208
212 × 4964
272 × 3869
292 × 3604
424 × 2482
584 × 1802
848 × 1241
901 × 1168
First multiples
1,052,368 · 2,104,736 (double) · 3,157,104 · 4,209,472 · 5,261,840 · 6,314,208 · 7,366,576 · 8,418,944 · 9,471,312 · 10,523,680

Sums & aliquot sequence

As a sum of two squares: 168² + 1,012² = 328² + 972² = 392² + 948² = 652² + 792²
As consecutive integers: 61,896 + 61,897 + … + 61,912 32,871 + 32,872 + … + 32,902 19,830 + 19,831 + … + 19,882 14,380 + 14,381 + … + 14,452
Aliquot sequence: 1,052,368 1,177,400 2,062,720 3,335,120 4,592,944 4,305,916 3,280,404 4,373,900 5,208,820 5,729,744 5,371,666 2,769,194 1,409,974 710,354 362,206 222,938 139,942 — unresolved within range

Continued fraction of √n

√1,052,368 = [1025; (1, 5, 1, 1, 1, 22, 2, 2, 13, 1, 5, 1, 1, 227, 2, 2, 1, 24, 1, 1, 1, 1, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand three hundred sixty-eight
Ordinal
1052368th
Binary
100000000111011010000
Octal
4007320
Hexadecimal
0x100ED0
Base64
EA7Q
One's complement
4,293,914,927 (32-bit)
Scientific notation
1.052368 × 10⁶
As a duration
1,052,368 s = 12 days, 4 hours, 19 minutes, 28 seconds
In other bases
ternary (3) 1222110120121
quaternary (4) 10000323100
quinary (5) 232133433
senary (6) 34320024
septenary (7) 11642062
nonary (9) 1873517
undecimal (11) 659729
duodecimal (12) 429014
tridecimal (13) 2ab005
tetradecimal (14) 1d5732
pentadecimal (15) 15bc2d

As an angle

1,052,368° = 2,923 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬二千三百六十八
Chinese (financial)
壹佰零伍萬貳仟參佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٥٢٣٦٨ Devanagari १०५२३६८ Bengali ১০৫২৩৬৮ Tamil ௧௦௫௨௩௬௮ Thai ๑๐๕๒๓๖๘ Tibetan ༡༠༥༢༣༦༨ Khmer ១០៥២៣៦៨ Lao ໑໐໕໒໓໖໘ Burmese ၁၀၅၂၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052368, here are decompositions:

  • 41 + 1052327 = 1052368
  • 47 + 1052321 = 1052368
  • 59 + 1052309 = 1052368
  • 89 + 1052279 = 1052368
  • 131 + 1052237 = 1052368
  • 137 + 1052231 = 1052368
  • 227 + 1052141 = 1052368
  • 257 + 1052111 = 1052368

Showing the first eight; more decompositions exist.

Hex color
#100ED0
RGB(16, 14, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.14.208.

Address
0.16.14.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.14.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 5, 2368 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2368-05-01 (DMMYYYY (Euro, single-digit day))
  • 2368-10-05 (MMDYYYY (US, single-digit day))
  • 2368-05-10 (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 1,052,368 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°.