Live analysis

1,040,112

1,040,112 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.).

1,040,112 (one million forty thousand one hundred twelve) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 31 × 233. Its proper divisors sum to 1,977,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEF0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,040,100 1,040,101 1,040,102 1,040,103 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,110,401
Square (n²): 1,081,832,972,544
Cube (n³): 1,125,227,456,738,684,928
Divisor count: 60
σ(n) — sum of divisors: 3,017,664
φ(n) — Euler's totient: 334,080
Sum of prime factors: 278

Primality

Prime factorization: 2 ⁴ × 3 ² × 31 × 233

Nearest primes: 1,040,101 (−11) · 1,040,113 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 31 · 36 · 48 · 62 · 72 · 93 · 124 · 144 · 186 · 233 · 248 · 279 · 372 · 466 · 496 · 558 · 699 · 744 · 932 · 1116 · 1398 · 1488 · 1864 · 2097 · 2232 · 2796 · 3728 · 4194 · 4464 · 5592 · 7223 · 8388 · 11184 · 14446 · 16776 · 21669 · 28892 · 33552 · 43338 · 57784 · 65007 · 86676 · 115568 · 130014 · 173352 · 260028 · 346704 · 520056 (half) · 1040112

Aliquot sum (sum of proper divisors): 1,977,552

Factor pairs (a × b = 1,040,112)

1 × 1040112

2 × 520056

3 × 346704

4 × 260028

6 × 173352

8 × 130014

9 × 115568

12 × 86676

16 × 65007

18 × 57784

24 × 43338

31 × 33552

36 × 28892

48 × 21669

62 × 16776

72 × 14446

93 × 11184

124 × 8388

144 × 7223

186 × 5592

233 × 4464

248 × 4194

279 × 3728

372 × 2796

466 × 2232

496 × 2097

558 × 1864

699 × 1488

744 × 1398

932 × 1116

First multiples

1,040,112 · 2,080,224 (double) · 3,120,336 · 4,160,448 · 5,200,560 · 6,240,672 · 7,280,784 · 8,320,896 · 9,361,008 · 10,401,120

Sums & aliquot sequence

As consecutive integers: 346,703 + 346,704 + 346,705 115,564 + 115,565 + … + 115,572 33,537 + 33,538 + … + 33,567 32,488 + 32,489 + … + 32,519

Aliquot sequence: 1,040,112 → 1,977,552 → 3,748,272 → 7,203,408 → 12,604,848 → 21,964,368 → 38,746,032 → 72,580,176 → 140,977,584 → 337,950,096 → 653,153,136 → 1,096,258,704 → 1,876,884,336 → 3,648,226,320 → 9,165,239,280 → 22,607,667,600 — keeps growing

Continued fraction of √n

√1,040,112 = [1019; (1, 6, 12, 14, 12, 6, 1, 2038)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand one hundred twelve
Ordinal: 1040112th
Binary: 11111101111011110000
Octal: 3757360
Hexadecimal: 0xFDEF0
Base64: D97w
One's complement: 4,293,927,183 (32-bit)
Scientific notation: 1.040112 × 10⁶
As a duration: 1,040,112 s = 12 days, 55 minutes, 12 seconds

In other bases

ternary (3) 1221211202200

quaternary (4) 3331323300

quinary (5) 231240422

senary (6) 34143200

septenary (7) 11561253

nonary (9) 1854680

undecimal (11) 6504a7

duodecimal (12) 421b00

tridecimal (13) 2a5568

tetradecimal (14) 1d109a

pentadecimal (15) 1582ac

As an angle

1,040,112° = 2,889 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓍢𓎆𓏺𓏺
Chinese: 一百零四萬零一百一十二
Chinese (financial): 壹佰零肆萬零壹佰壹拾貳

In other modern scripts

Eastern Arabic ١٠٤٠١١٢ Devanagari १०४०११२ Bengali ১০৪০১১২ Tamil ௧௦௪௦௧௧௨ Thai ๑๐๔๐๑๑๒ Tibetan ༡༠༤༠༡༡༢ Khmer ១០៤០១១២ Lao ໑໐໔໐໑໑໒ Burmese ၁၀၄၀၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040112, here are decompositions:

11 + 1040101 = 1040112
19 + 1040093 = 1040112
23 + 1040089 = 1040112
41 + 1040071 = 1040112
43 + 1040069 = 1040112
53 + 1040059 = 1040112
61 + 1040051 = 1040112
83 + 1040029 = 1040112

Showing the first eight; more decompositions exist.

Hex color

#0FDEF0

RGB(15, 222, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.240.

Address: 0.15.222.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 0112 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0112-04-01 (DMMYYYY (Euro, single-digit day))
0112-10-04 (MMDYYYY (US, single-digit day))
0112-04-10 (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 1,040,112 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 US1,040,112 on Google Patents ↗ Look up on USPTO ↗