Live analysis

1,011,440

1,011,440 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.).

1,011,440 (one million eleven thousand four hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 47 × 269. Its proper divisors sum to 1,399,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6EF0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,011,428 1,011,429 1,011,430 1,011,431 1,011,432 1,011,433 1,011,434 1,011,435 1,011,436 1,011,437 1,011,438 1,011,439 1,011,440 1,011,441 1,011,442 1,011,443 1,011,444 1,011,445 1,011,446 1,011,447 1,011,448 1,011,449 1,011,450 1,011,451 1,011,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 441,101
Square (n²): 1,023,010,873,600
Cube (n³): 1,034,714,117,993,984,000
Divisor count: 40
σ(n) — sum of divisors: 2,410,560
φ(n) — Euler's totient: 394,496
Sum of prime factors: 329

Primality

Prime factorization: 2 ⁴ × 5 × 47 × 269

Nearest primes: 1,011,431 (−9) · 1,011,443 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 47 · 80 · 94 · 188 · 235 · 269 · 376 · 470 · 538 · 752 · 940 · 1076 · 1345 · 1880 · 2152 · 2690 · 3760 · 4304 · 5380 · 10760 · 12643 · 21520 · 25286 · 50572 · 63215 · 101144 · 126430 · 202288 · 252860 · 505720 (half) · 1011440

Aliquot sum (sum of proper divisors): 1,399,120

Factor pairs (a × b = 1,011,440)

1 × 1011440

2 × 505720

4 × 252860

5 × 202288

8 × 126430

10 × 101144

16 × 63215

20 × 50572

40 × 25286

47 × 21520

80 × 12643

94 × 10760

188 × 5380

235 × 4304

269 × 3760

376 × 2690

470 × 2152

538 × 1880

752 × 1345

940 × 1076

First multiples

1,011,440 · 2,022,880 (double) · 3,034,320 · 4,045,760 · 5,057,200 · 6,068,640 · 7,080,080 · 8,091,520 · 9,102,960 · 10,114,400

Sums & aliquot sequence

As consecutive integers: 202,286 + 202,287 + 202,288 + 202,289 + 202,290 31,592 + 31,593 + … + 31,623 21,497 + 21,498 + … + 21,543 6,242 + 6,243 + … + 6,401

Aliquot sequence: 1,011,440 → 1,399,120 → 1,854,020 → 3,226,300 → 5,523,140 → 7,732,732 → 7,804,132 → 8,642,648 → 9,877,432 → 8,694,968 → 7,916,512 → 7,669,184 → 7,549,480 → 9,899,360 → 13,488,256 → 13,586,624 → 14,006,920 — unresolved within range

Continued fraction of √n

√1,011,440 = [1005; (1, 2, 2, 1, 1, 1, 45, 11, 1, 7, 3, 16, 3, 3, 2, 1, 2, 3, 3, 16, 3, 7, 1, 11, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million eleven thousand four hundred forty
Ordinal: 1011440th
Binary: 11110110111011110000
Octal: 3667360
Hexadecimal: 0xF6EF0
Base64: D27w
One's complement: 4,293,955,855 (32-bit)
Scientific notation: 1.01144 × 10⁶
As a duration: 1,011,440 s = 11 days, 16 hours, 57 minutes, 20 seconds

In other bases

ternary (3) 1220101102202

quaternary (4) 3312323300

quinary (5) 224331230

senary (6) 33402332

septenary (7) 11411543

nonary (9) 1811382

undecimal (11) 630a01

duodecimal (12) 4093a8

tridecimal (13) 2954b1

tetradecimal (14) 1c485a

pentadecimal (15) 14ea45

As an angle

1,011,440° = 2,809 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬一千四百四十
Chinese (financial): 壹佰零壹萬壹仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠١١٤٤٠ Devanagari १०११४४० Bengali ১০১১৪৪০ Tamil ௧௦௧௧௪௪௦ Thai ๑๐๑๑๔๔๐ Tibetan ༡༠༡༡༤༤༠ Khmer ១០១១៤៤០ Lao ໑໐໑໑໔໔໐ Burmese ၁၀၁၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011440, here are decompositions:

43 + 1011397 = 1011440
97 + 1011343 = 1011440
109 + 1011331 = 1011440
151 + 1011289 = 1011440
163 + 1011277 = 1011440
211 + 1011229 = 1011440
223 + 1011217 = 1011440
277 + 1011163 = 1011440

Showing the first eight; more decompositions exist.

Hex color

#0F6EF0

RGB(15, 110, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.110.240.

Address: 0.15.110.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.110.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 1440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

1440-10-01 (MMDYYYY (US, single-digit day))
1440-01-10 (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 1,011,440 and was likely granted around 1911.

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

Look up US1,011,440 on Google Patents ↗ Look up on USPTO ↗