Live analysis

1,049,440

1,049,440 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.).

1,049,440 (one million forty-nine thousand four hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 7 × 937. Its proper divisors sum to 1,787,072, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100360.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,049,428 1,049,429 1,049,430 1,049,431 1,049,432 1,049,433 1,049,434 1,049,435 1,049,436 1,049,437 1,049,438 1,049,439 1,049,440 1,049,441 1,049,442 1,049,443 1,049,444 1,049,445 1,049,446 1,049,447 1,049,448 1,049,449 1,049,450 1,049,451 1,049,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 21 bits
Reversed: 449,401
Square (n²): 1,101,324,313,600
Cube (n³): 1,155,773,787,664,384,000
Divisor count: 48
σ(n) — sum of divisors: 2,836,512
φ(n) — Euler's totient: 359,424
Sum of prime factors: 959

Primality

Prime factorization: 2 ⁵ × 5 × 7 × 937

Nearest primes: 1,049,437 (−3) · 1,049,459 (+19)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 160 · 224 · 280 · 560 · 937 · 1120 · 1874 · 3748 · 4685 · 6559 · 7496 · 9370 · 13118 · 14992 · 18740 · 26236 · 29984 · 32795 · 37480 · 52472 · 65590 · 74960 · 104944 · 131180 · 149920 · 209888 · 262360 · 524720 (half) · 1049440

Aliquot sum (sum of proper divisors): 1,787,072

Factor pairs (a × b = 1,049,440)

1 × 1049440

2 × 524720

4 × 262360

5 × 209888

7 × 149920

8 × 131180

10 × 104944

14 × 74960

16 × 65590

20 × 52472

28 × 37480

32 × 32795

35 × 29984

40 × 26236

56 × 18740

70 × 14992

80 × 13118

112 × 9370

140 × 7496

160 × 6559

224 × 4685

280 × 3748

560 × 1874

937 × 1120

First multiples

1,049,440 · 2,098,880 (double) · 3,148,320 · 4,197,760 · 5,247,200 · 6,296,640 · 7,346,080 · 8,395,520 · 9,444,960 · 10,494,400

Sums & aliquot sequence

As consecutive integers: 209,886 + 209,887 + 209,888 + 209,889 + 209,890 149,917 + 149,918 + … + 149,923 29,967 + 29,968 + … + 30,001 16,366 + 16,367 + … + 16,429

Aliquot sequence: 1,049,440 → 1,787,072 → 2,266,768 → 2,897,584 → 2,777,400 → 6,556,080 → 14,156,880 → 30,495,024 → 67,043,872 → 84,579,488 → 132,604,192 → 187,138,448 → 283,590,352 → 294,785,328 → 474,606,400 → 724,934,508 → 966,579,372 — unresolved within range

Continued fraction of √n

√1,049,440 = [1024; (2, 2, 1, 2, 3, 2, 1, 1, 17, 1, 6, 1, 1, 1, 1, 2, 4, 4, 2, 1, 65, 2, 2, 56, …)]

Representations

In words: one million forty-nine thousand four hundred forty
Ordinal: 1049440th
Binary: 100000000001101100000
Octal: 4001540
Hexadecimal: 0x100360
Base64: EANg
One's complement: 4,293,917,855 (32-bit)
Scientific notation: 1.04944 × 10⁶
As a duration: 1,049,440 s = 12 days, 3 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1222022120011

quaternary (4) 10000031200

quinary (5) 232040230

senary (6) 34254304

septenary (7) 11630410

nonary (9) 1868504

undecimal (11) 657507

duodecimal (12) 427394

tridecimal (13) 2a9892

tetradecimal (14) 1d4640

pentadecimal (15) 15ae2a

As an angle

1,049,440° = 2,915 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零四萬九千四百四十
Chinese (financial): 壹佰零肆萬玖仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٤٩٤٤٠ Devanagari १०४९४४० Bengali ১০৪৯৪৪০ Tamil ௧௦௪௯௪௪௦ Thai ๑๐๔๙๔๔๐ Tibetan ༡༠༤༩༤༤༠ Khmer ១០៤៩៤៤០ Lao ໑໐໔໙໔໔໐ Burmese ၁၀၄၉၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049440, here are decompositions:

3 + 1049437 = 1049440
11 + 1049429 = 1049440
53 + 1049387 = 1049440
101 + 1049339 = 1049440
107 + 1049333 = 1049440
239 + 1049201 = 1049440
257 + 1049183 = 1049440
263 + 1049177 = 1049440

Showing the first eight; more decompositions exist.

Hex color

#100360

RGB(16, 3, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.3.96.

Address: 0.16.3.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.3.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 9440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

9440-04-01 (DMMYYYY (Euro, single-digit day))
9440-10-04 (MMDYYYY (US, single-digit day))
9440-04-10 (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 1,049,440 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 US1,049,440 on Google Patents ↗ Look up on USPTO ↗