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1,040,448

1,040,448 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.).

1,040,448 (one million forty thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 3 × 5,419. Its proper divisors sum to 1,712,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE040.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
8,440,401
Square (n²)
1,082,532,040,704
Cube (n³)
1,126,318,296,686,395,392
Divisor count
28
σ(n) — sum of divisors
2,753,360
φ(n) — Euler's totient
346,752
Sum of prime factors
5,434

Primality

Prime factorization: 2 6 × 3 × 5419

Nearest primes: 1,040,447 (−1) · 1,040,449 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 192 · 5419 · 10838 · 16257 · 21676 · 32514 · 43352 · 65028 · 86704 · 130056 · 173408 · 260112 · 346816 · 520224 (half) · 1040448
Aliquot sum (sum of proper divisors): 1,712,912
Factor pairs (a × b = 1,040,448)
1 × 1040448
2 × 520224
3 × 346816
4 × 260112
6 × 173408
8 × 130056
12 × 86704
16 × 65028
24 × 43352
32 × 32514
48 × 21676
64 × 16257
96 × 10838
192 × 5419
First multiples
1,040,448 · 2,080,896 (double) · 3,121,344 · 4,161,792 · 5,202,240 · 6,242,688 · 7,283,136 · 8,323,584 · 9,364,032 · 10,404,480

Sums & aliquot sequence

As consecutive integers: 346,815 + 346,816 + 346,817 8,065 + 8,066 + … + 8,192 2,518 + 2,519 + … + 2,901
Aliquot sequence: 1,040,448 1,712,912 1,605,886 842,618 615,622 439,754 324,022 162,014 85,306 61,358 39,082 19,544 22,456 25,784 27,136 28,106 20,278 — unresolved within range

Continued fraction of √n

√1,040,448 = [1020; (42, 1, 1, 509, 1, 1, 42, 2040)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million forty thousand four hundred forty-eight
Ordinal
1040448th
Binary
11111110000001000000
Octal
3760100
Hexadecimal
0xFE040
Base64
D+BA
One's complement
4,293,926,847 (32-bit)
Scientific notation
1.040448 × 10⁶
As a duration
1,040,448 s = 12 days, 1 hour, 48 seconds
In other bases
ternary (3) 1221212020010
quaternary (4) 3332001000
quinary (5) 231243243
senary (6) 34144520
septenary (7) 11562243
nonary (9) 1855203
undecimal (11) 650782
duodecimal (12) 422140
tridecimal (13) 2a5766
tetradecimal (14) 1d125a
pentadecimal (15) 158433

As an angle

1,040,448° = 2,890 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零四萬零四百四十八
Chinese (financial)
壹佰零肆萬零肆佰肆拾捌
In other modern scripts
Eastern Arabic ١٠٤٠٤٤٨ Devanagari १०४०४४८ Bengali ১০৪০৪৪৮ Tamil ௧௦௪௦௪௪௮ Thai ๑๐๔๐๔๔๘ Tibetan ༡༠༤༠༤༤༨ Khmer ១០៤០៤៤៨ Lao ໑໐໔໐໔໔໘ Burmese ၁၀၄၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040448, here are decompositions:

  • 29 + 1040419 = 1040448
  • 37 + 1040411 = 1040448
  • 41 + 1040407 = 1040448
  • 61 + 1040387 = 1040448
  • 67 + 1040381 = 1040448
  • 109 + 1040339 = 1040448
  • 137 + 1040311 = 1040448
  • 229 + 1040219 = 1040448

Showing the first eight; more decompositions exist.

Hex color
#0FE040
RGB(15, 224, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.224.64.

Address
0.15.224.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.224.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 0448 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 0448-04-01 (DMMYYYY (Euro, single-digit day))
  • 0448-10-04 (MMDYYYY (US, single-digit day))
  • 0448-04-10 (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 1,040,448 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°.