Live analysis

1,051,440

1,051,440 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.).

1,051,440 (one million fifty-one thousand four hundred forty) is an even 7-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 337. Its proper divisors sum to 2,469,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100B30.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,051,428 1,051,429 1,051,430 1,051,431 1,051,432 1,051,433 1,051,434 1,051,435 1,051,436 1,051,437 1,051,438 1,051,439 1,051,440 1,051,441 1,051,442 1,051,443 1,051,444 1,051,445 1,051,446 1,051,447 1,051,448 1,051,449 1,051,450 1,051,451 1,051,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 21 bits
Reversed: 441,501
Square (n²): 1,105,526,073,600
Cube (n³): 1,162,394,334,825,984,000
Divisor count: 80
σ(n) — sum of divisors: 3,520,608
φ(n) — Euler's totient: 258,048
Sum of prime factors: 366

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 13 × 337

Nearest primes: 1,051,423 (−17) · 1,051,459 (+19)

Divisors & multiples

All divisors (80)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 39 · 40 · 48 · 52 · 60 · 65 · 78 · 80 · 104 · 120 · 130 · 156 · 195 · 208 · 240 · 260 · 312 · 337 · 390 · 520 · 624 · 674 · 780 · 1011 · 1040 · 1348 · 1560 · 1685 · 2022 · 2696 · 3120 · 3370 · 4044 · 4381 · 5055 · 5392 · 6740 · 8088 · 8762 · 10110 · 13143 · 13480 · 16176 · 17524 · 20220 · 21905 · 26286 · 26960 · 35048 · 40440 · 43810 · 52572 · 65715 · 70096 · 80880 · 87620 · 105144 · 131430 · 175240 · 210288 · 262860 · 350480 · 525720 (half) · 1051440

Aliquot sum (sum of proper divisors): 2,469,168

Factor pairs (a × b = 1,051,440)

1 × 1051440

2 × 525720

3 × 350480

4 × 262860

5 × 210288

6 × 175240

8 × 131430

10 × 105144

12 × 87620

13 × 80880

15 × 70096

16 × 65715

20 × 52572

24 × 43810

26 × 40440

30 × 35048

39 × 26960

40 × 26286

48 × 21905

52 × 20220

60 × 17524

65 × 16176

78 × 13480

80 × 13143

104 × 10110

120 × 8762

130 × 8088

156 × 6740

195 × 5392

208 × 5055

240 × 4381

260 × 4044

312 × 3370

337 × 3120

390 × 2696

520 × 2022

624 × 1685

674 × 1560

780 × 1348

1011 × 1040

First multiples

1,051,440 · 2,102,880 (double) · 3,154,320 · 4,205,760 · 5,257,200 · 6,308,640 · 7,360,080 · 8,411,520 · 9,462,960 · 10,514,400

Sums & aliquot sequence

As consecutive integers: 350,479 + 350,480 + 350,481 210,286 + 210,287 + 210,288 + 210,289 + 210,290 80,874 + 80,875 + … + 80,886 70,089 + 70,090 + … + 70,103

Aliquot sequence: 1,051,440 → 2,469,168 → 4,978,272 → 9,098,448 → 15,780,912 → 31,573,200 → 71,107,728 → 122,257,872 → 256,110,768 → 479,023,232 → 475,281,118 → 293,255,378 → 181,884,742 → 111,929,114 → 82,548,646 → 42,766,418 → 21,383,212 — unresolved within range

Continued fraction of √n

√1,051,440 = [1025; (2, 1, 1, 15, 3, 2, 1, 3, 1, 1, 3, 2, 1, 1, 4, 2, 1, 16, 3, 1, 5, 1, 5, 3, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words: one million fifty-one thousand four hundred forty
Ordinal: 1051440th
Binary: 100000000101100110000
Octal: 4005460
Hexadecimal: 0x100B30
Base64: EAsw
One's complement: 4,293,915,855 (32-bit)
Scientific notation: 1.05144 × 10⁶
As a duration: 1,051,440 s = 12 days, 4 hours, 4 minutes

In other bases

ternary (3) 1222102022020

quaternary (4) 10000230300

quinary (5) 232121230

senary (6) 34311440

septenary (7) 11636265

nonary (9) 1872266

undecimal (11) 658a65

duodecimal (12) 428580

tridecimal (13) 2aa770

tetradecimal (14) 1d526c

pentadecimal (15) 15b810

As an angle

1,051,440° = 2,920 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零五萬一千四百四十
Chinese (financial): 壹佰零伍萬壹仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٥١٤٤٠ Devanagari १०५१४४० Bengali ১০৫১৪৪০ Tamil ௧௦௫௧௪௪௦ Thai ๑๐๕๑๔๔๐ Tibetan ༡༠༥༡༤༤༠ Khmer ១០៥១៤៤០ Lao ໑໐໕໑໔໔໐ Burmese ၁၀၅၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051440, here are decompositions:

17 + 1051423 = 1051440
23 + 1051417 = 1051440
31 + 1051409 = 1051440
43 + 1051397 = 1051440
67 + 1051373 = 1051440
107 + 1051333 = 1051440
127 + 1051313 = 1051440
139 + 1051301 = 1051440

Showing the first eight; more decompositions exist.

Hex color

#100B30

RGB(16, 11, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.11.48.

Address: 0.16.11.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.11.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 1440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1440-05-01 (DMMYYYY (Euro, single-digit day))
1440-10-05 (MMDYYYY (US, single-digit day))
1440-05-10 (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 1,051,440 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 US1,051,440 on Google Patents ↗ Look up on USPTO ↗