Live analysis

1,040,800

1,040,800 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.).

1,040,800 (one million forty thousand eight hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 1,301. Its proper divisors sum to 1,502,006, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE1A0.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,040,788 1,040,789 1,040,790 1,040,791 1,040,792 1,040,793 1,040,794 1,040,795 1,040,796 1,040,797 1,040,798 1,040,799 1,040,800 1,040,801 1,040,802 1,040,803 1,040,804 1,040,805 1,040,806 1,040,807 1,040,808 1,040,809 1,040,810 1,040,811 1,040,812

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 80,401
Square (n²): 1,083,264,640,000
Cube (n³): 1,127,461,837,312,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,542,806
φ(n) — Euler's totient: 416,000
Sum of prime factors: 1,321

Primality

Prime factorization: 2 ⁵ × 5 ² × 1301

Nearest primes: 1,040,797 (−3) · 1,040,803 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 160 · 200 · 400 · 800 · 1301 · 2602 · 5204 · 6505 · 10408 · 13010 · 20816 · 26020 · 32525 · 41632 · 52040 · 65050 · 104080 · 130100 · 208160 · 260200 · 520400 (half) · 1040800

Aliquot sum (sum of proper divisors): 1,502,006

Factor pairs (a × b = 1,040,800)

1 × 1040800

2 × 520400

4 × 260200

5 × 208160

8 × 130100

10 × 104080

16 × 65050

20 × 52040

25 × 41632

32 × 32525

40 × 26020

50 × 20816

80 × 13010

100 × 10408

160 × 6505

200 × 5204

400 × 2602

800 × 1301

First multiples

1,040,800 · 2,081,600 (double) · 3,122,400 · 4,163,200 · 5,204,000 · 6,244,800 · 7,285,600 · 8,326,400 · 9,367,200 · 10,408,000

Sums & aliquot sequence

As a sum of two squares: 20² + 1,020² = 596² + 828² = 628² + 804²

As consecutive integers: 208,158 + 208,159 + 208,160 + 208,161 + 208,162 41,620 + 41,621 + … + 41,644 16,231 + 16,232 + … + 16,294 3,093 + 3,094 + … + 3,412

Aliquot sequence: 1,040,800 → 1,502,006 → 994,954 → 576,086 → 411,514 → 239,654 → 119,830 → 105,674 → 52,840 → 66,140 → 72,796 → 54,604 → 57,284 → 42,970 → 34,394 → 19,066 → 9,536 — unresolved within range

Continued fraction of √n

√1,040,800 = [1020; (5, 9, 1, 19, 1, 1, 127, 81, 1, 1, 1, 1, 4, 1, 1, 509, 1, 1, 4, 1, 1, 1, 1, 81, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand eight hundred
Ordinal: 1040800th
Binary: 11111110000110100000
Octal: 3760640
Hexadecimal: 0xFE1A0
Base64: D+Gg
One's complement: 4,293,926,495 (32-bit)
Scientific notation: 1.0408 × 10⁶
As a duration: 1,040,800 s = 12 days, 1 hour, 6 minutes, 40 seconds

In other bases

ternary (3) 1221212201011

quaternary (4) 3332012200

quinary (5) 231301200

senary (6) 34150304

septenary (7) 11563255

nonary (9) 1855634

undecimal (11) 650a72

duodecimal (12) 422394

tridecimal (13) 2a5977

tetradecimal (14) 1d142c

pentadecimal (15) 1585ba

As an angle

1,040,800° = 2,891 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese: 一百零四萬零八百
Chinese (financial): 壹佰零肆萬零捌佰

In other modern scripts

Eastern Arabic ١٠٤٠٨٠٠ Devanagari १०४०८०० Bengali ১০৪০৮০০ Tamil ௧௦௪௦௮௦௦ Thai ๑๐๔๐๘๐๐ Tibetan ༡༠༤༠༨༠༠ Khmer ១០៤០៨០០ Lao ໑໐໔໐໘໐໐ Burmese ၁၀၄၀၈၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040800, here are decompositions:

3 + 1040797 = 1040800
17 + 1040783 = 1040800
23 + 1040777 = 1040800
29 + 1040771 = 1040800
53 + 1040747 = 1040800
83 + 1040717 = 1040800
149 + 1040651 = 1040800
269 + 1040531 = 1040800

Showing the first eight; more decompositions exist.

Hex color

#0FE1A0

RGB(15, 225, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.225.160.

Address: 0.15.225.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.225.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 0800 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0800-04-01 (DMMYYYY (Euro, single-digit day))
0800-10-04 (MMDYYYY (US, single-digit day))
0800-04-10 (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 1,040,800 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,040,800 on Google Patents ↗ Look up on USPTO ↗