Live analysis

1,016,640

1,016,640 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.).

1,016,640 (one million sixteen thousand six hundred forty) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 5 × 353. Its proper divisors sum to 2,490,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8340.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,016,628 1,016,629 1,016,630 1,016,631 1,016,632 1,016,633 1,016,634 1,016,635 1,016,636 1,016,637 1,016,638 1,016,639 1,016,640 1,016,641 1,016,642 1,016,643 1,016,644 1,016,645 1,016,646 1,016,647 1,016,648 1,016,649 1,016,650 1,016,651 1,016,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 466,101
Square (n²): 1,033,556,889,600
Cube (n³): 1,050,755,276,242,944,000
Divisor count: 84
σ(n) — sum of divisors: 3,506,724
φ(n) — Euler's totient: 270,336
Sum of prime factors: 376

Primality

Prime factorization: 2 ⁶ × 3 ² × 5 × 353

Nearest primes: 1,016,621 (−19) · 1,016,641 (+1)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 192 · 240 · 288 · 320 · 353 · 360 · 480 · 576 · 706 · 720 · 960 · 1059 · 1412 · 1440 · 1765 · 2118 · 2824 · 2880 · 3177 · 3530 · 4236 · 5295 · 5648 · 6354 · 7060 · 8472 · 10590 · 11296 · 12708 · 14120 · 15885 · 16944 · 21180 · 22592 · 25416 · 28240 · 31770 · 33888 · 42360 · 50832 · 56480 · 63540 · 67776 · 84720 · 101664 · 112960 · 127080 · 169440 · 203328 · 254160 · 338880 · 508320 (half) · 1016640

Aliquot sum (sum of proper divisors): 2,490,084

Factor pairs (a × b = 1,016,640)

1 × 1016640

2 × 508320

3 × 338880

4 × 254160

5 × 203328

6 × 169440

8 × 127080

9 × 112960

10 × 101664

12 × 84720

15 × 67776

16 × 63540

18 × 56480

20 × 50832

24 × 42360

30 × 33888

32 × 31770

36 × 28240

40 × 25416

45 × 22592

48 × 21180

60 × 16944

64 × 15885

72 × 14120

80 × 12708

90 × 11296

96 × 10590

120 × 8472

144 × 7060

160 × 6354

180 × 5648

192 × 5295

240 × 4236

288 × 3530

320 × 3177

353 × 2880

360 × 2824

480 × 2118

576 × 1765

706 × 1440

720 × 1412

960 × 1059

First multiples

1,016,640 · 2,033,280 (double) · 3,049,920 · 4,066,560 · 5,083,200 · 6,099,840 · 7,116,480 · 8,133,120 · 9,149,760 · 10,166,400

Sums & aliquot sequence

As a sum of two squares: 24² + 1,008² = 624² + 792²

As consecutive integers: 338,879 + 338,880 + 338,881 203,326 + 203,327 + 203,328 + 203,329 + 203,330 112,956 + 112,957 + … + 112,964 67,769 + 67,770 + … + 67,783

Aliquot sequence: 1,016,640 → 2,490,084 → 3,828,319 → 528,761 → 2,539 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,016,640 = [1008; (3, 1, 1, 503, 1, 1, 3, 2016)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand six hundred forty
Ordinal: 1016640th
Binary: 11111000001101000000
Octal: 3701500
Hexadecimal: 0xF8340
Base64: D4NA
One's complement: 4,293,950,655 (32-bit)
Scientific notation: 1.01664 × 10⁶
As a duration: 1,016,640 s = 11 days, 18 hours, 24 minutes

In other bases

ternary (3) 1220122120100

quaternary (4) 3320031000

quinary (5) 230013030

senary (6) 33442400

septenary (7) 11432652

nonary (9) 1818510

undecimal (11) 6348a9

duodecimal (12) 410400

tridecimal (13) 297981

tetradecimal (14) 1c66d2

pentadecimal (15) 151360

As an angle

1,016,640° = 2,824 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬六千六百四十
Chinese (financial): 壹佰零壹萬陸仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠١٦٦٤٠ Devanagari १०१६६४० Bengali ১০১৬৬৪০ Tamil ௧௦௧௬௬௪௦ Thai ๑๐๑๖๖๔๐ Tibetan ༡༠༡༦༦༤༠ Khmer ១០១៦៦៤០ Lao ໑໐໑໖໖໔໐ Burmese ၁၀၁၆၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016640, here are decompositions:

19 + 1016621 = 1016640
29 + 1016611 = 1016640
41 + 1016599 = 1016640
43 + 1016597 = 1016640
59 + 1016581 = 1016640
67 + 1016573 = 1016640
71 + 1016569 = 1016640
73 + 1016567 = 1016640

Showing the first eight; more decompositions exist.

Hex color

#0F8340

RGB(15, 131, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.131.64.

Address: 0.15.131.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.131.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 6640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6640-10-01 (MMDYYYY (US, single-digit day))
6640-01-10 (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 1,016,640 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,016,640 on Google Patents ↗ Look up on USPTO ↗