Live analysis

1,040,416

1,040,416 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.).

1,040,416 (one million forty thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 13 × 41 × 61. Its proper divisors sum to 1,256,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE020.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,040,404 1,040,405 1,040,406 1,040,407 1,040,408 1,040,409 1,040,410 1,040,411 1,040,412 1,040,413 1,040,414 1,040,415 1,040,416 1,040,417 1,040,418 1,040,419 1,040,420 1,040,421 1,040,422 1,040,423 1,040,424 1,040,425 1,040,426 1,040,427 1,040,428

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 6,140,401
Square (n²): 1,082,465,453,056
Cube (n³): 1,126,214,376,806,711,296
Divisor count: 48
σ(n) — sum of divisors: 2,296,728
φ(n) — Euler's totient: 460,800
Sum of prime factors: 125

Primality

Prime factorization: 2 ⁵ × 13 × 41 × 61

Nearest primes: 1,040,411 (−5) · 1,040,419 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 41 · 52 · 61 · 82 · 104 · 122 · 164 · 208 · 244 · 328 · 416 · 488 · 533 · 656 · 793 · 976 · 1066 · 1312 · 1586 · 1952 · 2132 · 2501 · 3172 · 4264 · 5002 · 6344 · 8528 · 10004 · 12688 · 17056 · 20008 · 25376 · 32513 · 40016 · 65026 · 80032 · 130052 · 260104 · 520208 (half) · 1040416

Aliquot sum (sum of proper divisors): 1,256,312

Factor pairs (a × b = 1,040,416)

1 × 1040416

2 × 520208

4 × 260104

8 × 130052

13 × 80032

16 × 65026

26 × 40016

32 × 32513

41 × 25376

52 × 20008

61 × 17056

82 × 12688

104 × 10004

122 × 8528

164 × 6344

208 × 5002

244 × 4264

328 × 3172

416 × 2501

488 × 2132

533 × 1952

656 × 1586

793 × 1312

976 × 1066

First multiples

1,040,416 · 2,080,832 (double) · 3,121,248 · 4,161,664 · 5,202,080 · 6,242,496 · 7,282,912 · 8,323,328 · 9,363,744 · 10,404,160

Sums & aliquot sequence

As a sum of two squares: 4² + 1,020² = 180² + 1,004² = 220² + 996² = 396² + 940²

As consecutive integers: 80,026 + 80,027 + … + 80,038 25,356 + 25,357 + … + 25,396 17,026 + 17,027 + … + 17,086 16,225 + 16,226 + … + 16,288

Aliquot sequence: 1,040,416 → 1,256,312 → 1,144,528 → 1,623,152 → 1,542,568 → 1,526,432 → 1,478,794 → 739,400 → 980,170 → 784,154 → 579,046 → 356,378 → 236,326 → 118,166 → 59,086 → 32,498 → 16,252 — unresolved within range

Continued fraction of √n

√1,040,416 = [1020; (127, 1, 1, 509, 1, 1, 127, 2040)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand four hundred sixteen
Ordinal: 1040416th
Binary: 11111110000000100000
Octal: 3760040
Hexadecimal: 0xFE020
Base64: D+Ag
One's complement: 4,293,926,879 (32-bit)
Scientific notation: 1.040416 × 10⁶
As a duration: 1,040,416 s = 12 days, 1 hour, 16 seconds

In other bases

ternary (3) 1221212011221

quaternary (4) 3332000200

quinary (5) 231243131

senary (6) 34144424

septenary (7) 11562166

nonary (9) 1855157

undecimal (11) 650753

duodecimal (12) 422114

tridecimal (13) 2a5740

tetradecimal (14) 1d1236

pentadecimal (15) 158411

As an angle

1,040,416° = 2,890 × 360° + 16°

16° ≈ 0.279 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬零四百一十六
Chinese (financial): 壹佰零肆萬零肆佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٤٠٤١٦ Devanagari १०४०४१६ Bengali ১০৪০৪১৬ Tamil ௧௦௪௦௪௧௬ Thai ๑๐๔๐๔๑๖ Tibetan ༡༠༤༠༤༡༦ Khmer ១០៤០៤១៦ Lao ໑໐໔໐໔໑໖ Burmese ၁၀၄၀၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040416, here are decompositions:

5 + 1040411 = 1040416
29 + 1040387 = 1040416
89 + 1040327 = 1040416
197 + 1040219 = 1040416
227 + 1040189 = 1040416
233 + 1040183 = 1040416
257 + 1040159 = 1040416
263 + 1040153 = 1040416

Showing the first eight; more decompositions exist.

Hex color

#0FE020

RGB(15, 224, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.224.32.

Address: 0.15.224.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.224.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 0416 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0416-04-01 (DMMYYYY (Euro, single-digit day))
0416-10-04 (MMDYYYY (US, single-digit day))
0416-04-10 (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 1,040,416 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 US1,040,416 on Google Patents ↗ Look up on USPTO ↗