Live analysis

1,040,016

1,040,016 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.).

1,040,016 (one million forty thousand sixteen) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 47 × 461. Its proper divisors sum to 1,709,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDE90.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,040,004 1,040,005 1,040,006 1,040,007 1,040,008 1,040,009 1,040,010 1,040,011 1,040,012 1,040,013 1,040,014 1,040,015 1,040,016 1,040,017 1,040,018 1,040,019 1,040,020 1,040,021 1,040,022 1,040,023 1,040,024 1,040,025 1,040,026 1,040,027 1,040,028

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,100,401
Square (n²): 1,081,633,280,256
Cube (n³): 1,124,915,917,598,724,096
Divisor count: 40
σ(n) — sum of divisors: 2,749,824
φ(n) — Euler's totient: 338,560
Sum of prime factors: 519

Primality

Prime factorization: 2 ⁴ × 3 × 47 × 461

Nearest primes: 1,039,999 (−17) · 1,040,021 (+5)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 47 · 48 · 94 · 141 · 188 · 282 · 376 · 461 · 564 · 752 · 922 · 1128 · 1383 · 1844 · 2256 · 2766 · 3688 · 5532 · 7376 · 11064 · 21667 · 22128 · 43334 · 65001 · 86668 · 130002 · 173336 · 260004 · 346672 · 520008 (half) · 1040016

Aliquot sum (sum of proper divisors): 1,709,808

Factor pairs (a × b = 1,040,016)

1 × 1040016

2 × 520008

3 × 346672

4 × 260004

6 × 173336

8 × 130002

12 × 86668

16 × 65001

24 × 43334

47 × 22128

48 × 21667

94 × 11064

141 × 7376

188 × 5532

282 × 3688

376 × 2766

461 × 2256

564 × 1844

752 × 1383

922 × 1128

First multiples

1,040,016 · 2,080,032 (double) · 3,120,048 · 4,160,064 · 5,200,080 · 6,240,096 · 7,280,112 · 8,320,128 · 9,360,144 · 10,400,160

Sums & aliquot sequence

As consecutive integers: 346,671 + 346,672 + 346,673 32,485 + 32,486 + … + 32,516 22,105 + 22,106 + … + 22,151 10,786 + 10,787 + … + 10,881

Aliquot sequence: 1,040,016 → 1,709,808 → 2,754,192 → 5,529,504 → 9,106,656 → 16,640,688 → 28,878,720 → 71,917,680 → 158,737,200 → 353,283,600 → 778,405,376 → 1,236,822,784 → 1,361,939,256 → 2,326,646,424 → 3,491,817,576 → 6,241,228,824 → 9,608,240,616 — unresolved within range

Continued fraction of √n

√1,040,016 = [1019; (1, 4, 3, 4, 1, 7, 6, 2, 3, 11, 1, 3, 1, 1, 5, 8, 88, 1, 1, 3, 1, 7, 1, 1, …)]

Representations

In words: one million forty thousand sixteen
Ordinal: 1040016th
Binary: 11111101111010010000
Octal: 3757220
Hexadecimal: 0xFDE90
Base64: D96Q
One's complement: 4,293,927,279 (32-bit)
Scientific notation: 1.040016 × 10⁶
As a duration: 1,040,016 s = 12 days, 53 minutes, 36 seconds

In other bases

ternary (3) 1221211122010

quaternary (4) 3331322100

quinary (5) 231240031

senary (6) 34142520

septenary (7) 11561055

nonary (9) 1854563

undecimal (11) 65041a

duodecimal (12) 421a40

tridecimal (13) 2a54c3

tetradecimal (14) 1d102c

pentadecimal (15) 158246

As an angle

1,040,016° = 2,888 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零四萬零一十六
Chinese (financial): 壹佰零肆萬零壹拾陸

In other modern scripts

Eastern Arabic ١٠٤٠٠١٦ Devanagari १०४००१६ Bengali ১০৪০০১৬ Tamil ௧௦௪௦௦௧௬ Thai ๑๐๔๐๐๑๖ Tibetan ༡༠༤༠༠༡༦ Khmer ១០៤០០១៦ Lao ໑໐໔໐໐໑໖ Burmese ၁၀၄၀၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040016, here are decompositions:

17 + 1039999 = 1040016
37 + 1039979 = 1040016
67 + 1039949 = 1040016
73 + 1039943 = 1040016
179 + 1039837 = 1040016
193 + 1039823 = 1040016
199 + 1039817 = 1040016
227 + 1039789 = 1040016

Showing the first eight; more decompositions exist.

Hex color

#0FDE90

RGB(15, 222, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.144.

Address: 0.15.222.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 0016 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0016-04-01 (DMMYYYY (Euro, single-digit day))
0016-10-04 (MMDYYYY (US, single-digit day))
0016-04-10 (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 1,040,016 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 US1,040,016 on Google Patents ↗ Look up on USPTO ↗