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1,020,352

1,020,352 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.).

1,020,352 (one million twenty thousand three hundred fifty-two) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 107 × 149. Its proper divisors sum to 1,037,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF91C0.

Abundant Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
2,530,201
Square (n²)
1,041,118,203,904
Cube (n³)
1,062,307,041,589,854,208
Divisor count
28
σ(n) — sum of divisors
2,057,400
φ(n) — Euler's totient
502,016
Sum of prime factors
268

Primality

Prime factorization: 2 6 × 107 × 149

Nearest primes: 1,020,337 (−15) · 1,020,353 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 107 · 149 · 214 · 298 · 428 · 596 · 856 · 1192 · 1712 · 2384 · 3424 · 4768 · 6848 · 9536 · 15943 · 31886 · 63772 · 127544 · 255088 · 510176 (half) · 1020352
Aliquot sum (sum of proper divisors): 1,037,048
Factor pairs (a × b = 1,020,352)
1 × 1020352
2 × 510176
4 × 255088
8 × 127544
16 × 63772
32 × 31886
64 × 15943
107 × 9536
149 × 6848
214 × 4768
298 × 3424
428 × 2384
596 × 1712
856 × 1192
First multiples
1,020,352 · 2,040,704 (double) · 3,061,056 · 4,081,408 · 5,101,760 · 6,122,112 · 7,142,464 · 8,162,816 · 9,183,168 · 10,203,520

Sums & aliquot sequence

As consecutive integers: 9,483 + 9,484 + … + 9,589 7,908 + 7,909 + … + 8,035 6,774 + 6,775 + … + 6,922
Aliquot sequence: 1,020,352 1,037,048 907,432 849,368 865,912 853,448 746,782 390,314 195,160 349,160 601,240 751,640 1,149,160 1,436,540 2,133,124 2,463,356 2,463,412 — unresolved within range

Continued fraction of √n

√1,020,352 = [1010; (8, 61, 10, 1, 1, 3, 1, 1, 1, 1, 4, 1, 1, 1, 6, 1, 1, 2, 8, 2, 1, 5, 1, 1, …)]

Representations

In words
one million twenty thousand three hundred fifty-two
Ordinal
1020352nd
Binary
11111001000111000000
Octal
3710700
Hexadecimal
0xF91C0
Base64
D5HA
One's complement
4,293,946,943 (32-bit)
Scientific notation
1.020352 × 10⁶
As a duration
1,020,352 s = 11 days, 19 hours, 25 minutes, 52 seconds
In other bases
ternary (3) 1220211122211
quaternary (4) 3321013000
quinary (5) 230122402
senary (6) 33511504
septenary (7) 11446534
nonary (9) 1824584
undecimal (11) 637673
duodecimal (12) 412594
tridecimal (13) 299578
tetradecimal (14) 1c7bc4
pentadecimal (15) 1524d7

As an angle

1,020,352° = 2,834 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬零三百五十二
Chinese (financial)
壹佰零貳萬零參佰伍拾貳
In other modern scripts
Eastern Arabic ١٠٢٠٣٥٢ Devanagari १०२०३५२ Bengali ১০২০৩৫২ Tamil ௧௦௨௦௩௫௨ Thai ๑๐๒๐๓๕๒ Tibetan ༡༠༢༠༣༥༢ Khmer ១០២០៣៥២ Lao ໑໐໒໐໓໕໒ Burmese ၁၀၂၀၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020352, here are decompositions:

  • 23 + 1020329 = 1020352
  • 59 + 1020293 = 1020352
  • 83 + 1020269 = 1020352
  • 239 + 1020113 = 1020352
  • 251 + 1020101 = 1020352
  • 293 + 1020059 = 1020352
  • 449 + 1019903 = 1020352
  • 479 + 1019873 = 1020352

Showing the first eight; more decompositions exist.

Hex color
#0F91C0
RGB(15, 145, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.145.192.

Address
0.15.145.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.145.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 0352 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0352-02-01 (DMMYYYY (Euro, single-digit day))
  • 0352-10-02 (MMDYYYY (US, single-digit day))
  • 0352-02-10 (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 1,020,352 and was likely granted around 1911.

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°.