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1,050,408

1,050,408 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.).

1,050,408 (one million fifty thousand four hundred eight) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3⁴ × 1,621. Its proper divisors sum to 1,893,522, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100728.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
8,040,501
Square (n²)
1,103,356,966,464
Cube (n³)
1,158,974,984,429,517,312
Divisor count
40
σ(n) — sum of divisors
2,943,930
φ(n) — Euler's totient
349,920
Sum of prime factors
1,639

Primality

Prime factorization: 2 3 × 3 4 × 1621

Nearest primes: 1,050,391 (−17) · 1,050,421 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 27 · 36 · 54 · 72 · 81 · 108 · 162 · 216 · 324 · 648 · 1621 · 3242 · 4863 · 6484 · 9726 · 12968 · 14589 · 19452 · 29178 · 38904 · 43767 · 58356 · 87534 · 116712 · 131301 · 175068 · 262602 · 350136 · 525204 (half) · 1050408
Aliquot sum (sum of proper divisors): 1,893,522
Factor pairs (a × b = 1,050,408)
1 × 1050408
2 × 525204
3 × 350136
4 × 262602
6 × 175068
8 × 131301
9 × 116712
12 × 87534
18 × 58356
24 × 43767
27 × 38904
36 × 29178
54 × 19452
72 × 14589
81 × 12968
108 × 9726
162 × 6484
216 × 4863
324 × 3242
648 × 1621
First multiples
1,050,408 · 2,100,816 (double) · 3,151,224 · 4,201,632 · 5,252,040 · 6,302,448 · 7,352,856 · 8,403,264 · 9,453,672 · 10,504,080

Sums & aliquot sequence

As a sum of two squares: 522² + 882²
As consecutive integers: 350,135 + 350,136 + 350,137 116,708 + 116,709 + … + 116,716 65,643 + 65,644 + … + 65,658 38,891 + 38,892 + … + 38,917
Aliquot sequence: 1,050,408 1,893,522 1,907,790 2,913,330 5,078,094 6,529,074 6,743,886 7,162,194 8,264,238 8,307,618 9,957,006 12,354,426 18,690,822 22,039,218 26,162,910 42,352,290 68,477,598 — unresolved within range

Continued fraction of √n

√1,050,408 = [1024; (1, 8, 2, 4, 5, 1, 2, 1, 3, 2, 5, 1, 7, 1, 2, 1, 2, 1, 2, 8, 2, 7, 1, 1, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one million fifty thousand four hundred eight
Ordinal
1050408th
Binary
100000000011100101000
Octal
4003450
Hexadecimal
0x100728
Base64
EAco
One's complement
4,293,916,887 (32-bit)
Scientific notation
1.050408 × 10⁶
As a duration
1,050,408 s = 12 days, 3 hours, 46 minutes, 48 seconds
In other bases
ternary (3) 1222100220000
quaternary (4) 10000130220
quinary (5) 232103113
senary (6) 34303000
septenary (7) 11633262
nonary (9) 1870800
undecimal (11) 658207
duodecimal (12) 427a60
tridecimal (13) 2aa158
tetradecimal (14) 1d4b32
pentadecimal (15) 15b373

As an angle

1,050,408° = 2,917 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬零四百零八
Chinese (financial)
壹佰零伍萬零肆佰零捌
In other modern scripts
Eastern Arabic ١٠٥٠٤٠٨ Devanagari १०५०४०८ Bengali ১০৫০৪০৮ Tamil ௧௦௫௦௪௦௮ Thai ๑๐๕๐๔๐๘ Tibetan ༡༠༥༠༤༠༨ Khmer ១០៥០៤០៨ Lao ໑໐໕໐໔໐໘ Burmese ၁၀၅၀၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050408, here are decompositions:

  • 17 + 1050391 = 1050408
  • 41 + 1050367 = 1050408
  • 59 + 1050349 = 1050408
  • 71 + 1050337 = 1050408
  • 101 + 1050307 = 1050408
  • 127 + 1050281 = 1050408
  • 167 + 1050241 = 1050408
  • 179 + 1050229 = 1050408

Showing the first eight; more decompositions exist.

Hex color
#100728
RGB(16, 7, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.7.40.

Address
0.16.7.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.7.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 5, 0408 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0408-05-01 (DMMYYYY (Euro, single-digit day))
  • 0408-10-05 (MMDYYYY (US, single-digit day))
  • 0408-05-10 (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 1,050,408 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°.