Live analysis

1,040,116

1,040,116 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.).

1,040,116 (one million forty thousand one hundred sixteen) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 7 × 11² × 307. Its proper divisors sum to 1,253,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEF4.

Abundant Number Cube-Free Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,040,104 1,040,105 1,040,106 1,040,107 1,040,108 1,040,109 1,040,110 1,040,111 1,040,112 1,040,113 1,040,114 1,040,115 1,040,116 1,040,117 1,040,118 1,040,119 1,040,120 1,040,121 1,040,122 1,040,123 1,040,124 1,040,125 1,040,126 1,040,127 1,040,128

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 6,110,401
Square (n²): 1,081,841,293,456
Cube (n³): 1,125,240,438,784,280,896
Divisor count: 36
σ(n) — sum of divisors: 2,293,984
φ(n) — Euler's totient: 403,920
Sum of prime factors: 340

Primality

Prime factorization: 2 ² × 7 × 11 ² × 307

Nearest primes: 1,040,113 (−3) · 1,040,119 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 7 · 11 · 14 · 22 · 28 · 44 · 77 · 121 · 154 · 242 · 307 · 308 · 484 · 614 · 847 · 1228 · 1694 · 2149 · 3377 · 3388 · 4298 · 6754 · 8596 · 13508 · 23639 · 37147 · 47278 · 74294 · 94556 · 148588 · 260029 · 520058 (half) · 1040116

Aliquot sum (sum of proper divisors): 1,253,868

Factor pairs (a × b = 1,040,116)

1 × 1040116

2 × 520058

4 × 260029

7 × 148588

11 × 94556

14 × 74294

22 × 47278

28 × 37147

44 × 23639

77 × 13508

121 × 8596

154 × 6754

242 × 4298

307 × 3388

308 × 3377

484 × 2149

614 × 1694

847 × 1228

First multiples

1,040,116 · 2,080,232 (double) · 3,120,348 · 4,160,464 · 5,200,580 · 6,240,696 · 7,280,812 · 8,320,928 · 9,361,044 · 10,401,160

Sums & aliquot sequence

As consecutive integers: 148,585 + 148,586 + … + 148,591 130,011 + 130,012 + … + 130,018 94,551 + 94,552 + … + 94,561 18,546 + 18,547 + … + 18,601

Aliquot sequence: 1,040,116 → 1,253,868 → 2,616,852 → 4,361,644 → 4,361,700 → 10,748,444 → 13,000,036 → 15,449,756 → 15,561,700 → 28,435,484 → 35,819,476 → 46,941,356 → 55,476,820 → 80,401,580 → 112,562,548 → 121,470,860 → 171,902,836 — unresolved within range

Continued fraction of √n

√1,040,116 = [1019; (1, 6, 5, 2, 10, 226, 1, 1, 5, 1, 2, 1, 3, 1, 9, 1, 2, 24, 1, 5, 6, 14, 3, 3, …)]

Representations

In words: one million forty thousand one hundred sixteen
Ordinal: 1040116th
Binary: 11111101111011110100
Octal: 3757364
Hexadecimal: 0xFDEF4
Base64: D970
One's complement: 4,293,927,179 (32-bit)
Scientific notation: 1.040116 × 10⁶
As a duration: 1,040,116 s = 12 days, 55 minutes, 16 seconds

In other bases

ternary (3) 1221211202211

quaternary (4) 3331323310

quinary (5) 231240431

senary (6) 34143204

septenary (7) 11561260

nonary (9) 1854684

undecimal (11) 650500

duodecimal (12) 421b04

tridecimal (13) 2a556c

tetradecimal (14) 1d10a0

pentadecimal (15) 1582b1

As an angle

1,040,116° = 2,889 × 360° + 76°

76° ≈ 1.326 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬零一百一十六
Chinese (financial): 壹佰零肆萬零壹佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٤٠١١٦ Devanagari १०४०११६ Bengali ১০৪০১১৬ Tamil ௧௦௪௦௧௧௬ Thai ๑๐๔๐๑๑๖ Tibetan ༡༠༤༠༡༡༦ Khmer ១០៤០១១៦ Lao ໑໐໔໐໑໑໖ Burmese ၁၀၄၀၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040116, here are decompositions:

3 + 1040113 = 1040116
23 + 1040093 = 1040116
47 + 1040069 = 1040116
59 + 1040057 = 1040116
137 + 1039979 = 1040116
167 + 1039949 = 1040116
173 + 1039943 = 1040116
293 + 1039823 = 1040116

Showing the first eight; more decompositions exist.

Hex color

#0FDEF4

RGB(15, 222, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.244.

Address: 0.15.222.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.244

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 0116 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0116-04-01 (DMMYYYY (Euro, single-digit day))
0116-10-04 (MMDYYYY (US, single-digit day))
0116-04-10 (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 1,040,116 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 US1,040,116 on Google Patents ↗ Look up on USPTO ↗