Live analysis

1,007,820

1,007,820 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.).

1,007,820 (one million seven thousand eight hundred twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 11 × 509. Its proper divisors sum to 2,333,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF60CC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,007,808 1,007,809 1,007,810 1,007,811 1,007,812 1,007,813 1,007,814 1,007,815 1,007,816 1,007,817 1,007,818 1,007,819 1,007,820 1,007,821 1,007,822 1,007,823 1,007,824 1,007,825 1,007,826 1,007,827 1,007,828 1,007,829 1,007,830 1,007,831 1,007,832

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 287,001
Recamán's sequence: a(349,811) = 1,007,820
Square (n²): 1,015,701,152,400
Cube (n³): 1,023,643,935,411,768,000
Divisor count: 72
σ(n) — sum of divisors: 3,341,520
φ(n) — Euler's totient: 243,840
Sum of prime factors: 535

Primality

Prime factorization: 2 ² × 3 ² × 5 × 11 × 509

Nearest primes: 1,007,819 (−1) · 1,007,827 (+7)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 30 · 33 · 36 · 44 · 45 · 55 · 60 · 66 · 90 · 99 · 110 · 132 · 165 · 180 · 198 · 220 · 330 · 396 · 495 · 509 · 660 · 990 · 1018 · 1527 · 1980 · 2036 · 2545 · 3054 · 4581 · 5090 · 5599 · 6108 · 7635 · 9162 · 10180 · 11198 · 15270 · 16797 · 18324 · 22396 · 22905 · 27995 · 30540 · 33594 · 45810 · 50391 · 55990 · 67188 · 83985 · 91620 · 100782 · 111980 · 167970 · 201564 · 251955 · 335940 · 503910 (half) · 1007820

Aliquot sum (sum of proper divisors): 2,333,700

Factor pairs (a × b = 1,007,820)

1 × 1007820

2 × 503910

3 × 335940

4 × 251955

5 × 201564

6 × 167970

9 × 111980

10 × 100782

11 × 91620

12 × 83985

15 × 67188

18 × 55990

20 × 50391

22 × 45810

30 × 33594

33 × 30540

36 × 27995

44 × 22905

45 × 22396

55 × 18324

60 × 16797

66 × 15270

90 × 11198

99 × 10180

110 × 9162

132 × 7635

165 × 6108

180 × 5599

198 × 5090

220 × 4581

330 × 3054

396 × 2545

495 × 2036

509 × 1980

660 × 1527

990 × 1018

First multiples

1,007,820 · 2,015,640 (double) · 3,023,460 · 4,031,280 · 5,039,100 · 6,046,920 · 7,054,740 · 8,062,560 · 9,070,380 · 10,078,200

Sums & aliquot sequence

As consecutive integers: 335,939 + 335,940 + 335,941 201,562 + 201,563 + 201,564 + 201,565 + 201,566 125,974 + 125,975 + … + 125,981 111,976 + 111,977 + … + 111,984

Aliquot sequence: 1,007,820 → 2,333,700 → 4,983,974 → 2,862,874 → 2,193,254 → 1,659,322 → 1,376,198 → 727,210 → 713,978 → 356,992 → 354,458 → 218,170 → 174,554 → 87,280 → 115,832 → 101,368 → 88,712 — unresolved within range

Continued fraction of √n

√1,007,820 = [1003; (1, 9, 4, 10, 1, 10, 5, 1, 1, 222, 1, 1, 5, 10, 1, 10, 4, 9, 1, 2006)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million seven thousand eight hundred twenty
Ordinal: 1007820th
Binary: 11110110000011001100
Octal: 3660314
Hexadecimal: 0xF60CC
Base64: D2DM
One's complement: 4,293,959,475 (32-bit)
Scientific notation: 1.00782 × 10⁶
As a duration: 1,007,820 s = 11 days, 15 hours, 57 minutes

In other bases

ternary (3) 1220012110200

quaternary (4) 3312003030

quinary (5) 224222240

senary (6) 33333500

septenary (7) 11365152

nonary (9) 1805420

undecimal (11) 629210

duodecimal (12) 407290

tridecimal (13) 293958

tetradecimal (14) 1c33d2

pentadecimal (15) 14d930

As an angle

1,007,820° = 2,799 × 360° + 180°

180° ≈ 3.142 rad

Compass bearing: S (south)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬七千八百二十
Chinese (financial): 壹佰萬柒仟捌佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٧٨٢٠ Devanagari १००७८२० Bengali ১০০৭৮২০ Tamil ௧௦௦௭௮௨௦ Thai ๑๐๐๗๘๒๐ Tibetan ༡༠༠༧༨༢༠ Khmer ១០០៧៨២០ Lao ໑໐໐໗໘໒໐ Burmese ၁၀၀၇၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007820, here are decompositions:

7 + 1007813 = 1007820
13 + 1007807 = 1007820
19 + 1007801 = 1007820
31 + 1007789 = 1007820
53 + 1007767 = 1007820
61 + 1007759 = 1007820
67 + 1007753 = 1007820
71 + 1007749 = 1007820

Showing the first eight; more decompositions exist.

Hex color

#0F60CC

RGB(15, 96, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.96.204.

Address: 0.15.96.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.96.204

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

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 1,007,820 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 US1,007,820 on Google Patents ↗ Look up on USPTO ↗