Live analysis

1,041,440

1,041,440 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.).

1,041,440 (one million forty-one thousand four hundred forty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 23 × 283. Its proper divisors sum to 1,535,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE420.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,428 1,041,429 1,041,430 1,041,431 1,041,432 1,041,433 1,041,434 1,041,435 1,041,436 1,041,437 1,041,438 1,041,439 1,041,440 1,041,441 1,041,442 1,041,443 1,041,444 1,041,445 1,041,446 1,041,447 1,041,448 1,041,449 1,041,450 1,041,451 1,041,452

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 441,401
Square (n²): 1,084,597,273,600
Cube (n³): 1,129,542,984,617,984,000
Divisor count: 48
σ(n) — sum of divisors: 2,576,448
φ(n) — Euler's totient: 397,056
Sum of prime factors: 321

Primality

Prime factorization: 2 ⁵ × 5 × 23 × 283

Nearest primes: 1,041,427 (−13) · 1,041,449 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 23 · 32 · 40 · 46 · 80 · 92 · 115 · 160 · 184 · 230 · 283 · 368 · 460 · 566 · 736 · 920 · 1132 · 1415 · 1840 · 2264 · 2830 · 3680 · 4528 · 5660 · 6509 · 9056 · 11320 · 13018 · 22640 · 26036 · 32545 · 45280 · 52072 · 65090 · 104144 · 130180 · 208288 · 260360 · 520720 (half) · 1041440

Aliquot sum (sum of proper divisors): 1,535,008

Factor pairs (a × b = 1,041,440)

1 × 1041440

2 × 520720

4 × 260360

5 × 208288

8 × 130180

10 × 104144

16 × 65090

20 × 52072

23 × 45280

32 × 32545

40 × 26036

46 × 22640

80 × 13018

92 × 11320

115 × 9056

160 × 6509

184 × 5660

230 × 4528

283 × 3680

368 × 2830

460 × 2264

566 × 1840

736 × 1415

920 × 1132

First multiples

1,041,440 · 2,082,880 (double) · 3,124,320 · 4,165,760 · 5,207,200 · 6,248,640 · 7,290,080 · 8,331,520 · 9,372,960 · 10,414,400

Sums & aliquot sequence

As consecutive integers: 208,286 + 208,287 + 208,288 + 208,289 + 208,290 45,269 + 45,270 + … + 45,291 16,241 + 16,242 + … + 16,304 8,999 + 9,000 + … + 9,113

Aliquot sequence: 1,041,440 → 1,535,008 → 1,487,102 → 743,554 → 542,654 → 400,834 → 286,334 → 150,394 → 83,066 → 44,698 → 22,352 → 25,264 → 23,716 → 29,351 → 4,849 → 387 → 185 — unresolved within range

Continued fraction of √n

√1,041,440 = [1020; (1, 1, 25, 2, 1, 49, 9, 10, 1, 11, 1, 3, 3, 2, 1, 1, 10, 10, 3, 7, 2, 1, 1, 1, …)]

Representations

In words: one million forty-one thousand four hundred forty
Ordinal: 1041440th
Binary: 11111110010000100000
Octal: 3762040
Hexadecimal: 0xFE420
Base64: D+Qg
One's complement: 4,293,925,855 (32-bit)
Scientific notation: 1.04144 × 10⁶
As a duration: 1,041,440 s = 12 days, 1 hour, 17 minutes, 20 seconds

In other bases

ternary (3) 1221220120212

quaternary (4) 3332100200

quinary (5) 231311230

senary (6) 34153252

septenary (7) 11565161

nonary (9) 1856525

undecimal (11) 6514a4

duodecimal (12) 422828

tridecimal (13) 2a604a

tetradecimal (14) 1d1768

pentadecimal (15) 158895

As an angle

1,041,440° = 2,892 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零四萬一千四百四十
Chinese (financial): 壹佰零肆萬壹仟肆佰肆拾

In other modern scripts

Eastern Arabic ١٠٤١٤٤٠ Devanagari १०४१४४० Bengali ১০৪১৪৪০ Tamil ௧௦௪௧௪௪௦ Thai ๑๐๔๑๔๔๐ Tibetan ༡༠༤༡༤༤༠ Khmer ១០៤១៤៤០ Lao ໑໐໔໑໔໔໐ Burmese ၁၀၄၁၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041440, here are decompositions:

13 + 1041427 = 1041440
19 + 1041421 = 1041440
67 + 1041373 = 1041440
97 + 1041343 = 1041440
151 + 1041289 = 1041440
157 + 1041283 = 1041440
199 + 1041241 = 1041440
271 + 1041169 = 1041440

Showing the first eight; more decompositions exist.

Hex color

#0FE420

RGB(15, 228, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.228.32.

Address: 0.15.228.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.228.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 1440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1440-04-01 (DMMYYYY (Euro, single-digit day))
1440-10-04 (MMDYYYY (US, single-digit day))
1440-04-10 (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 1,041,440 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 US1,041,440 on Google Patents ↗ Look up on USPTO ↗