Live analysis

1,001,660

1,001,660 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.).

1,001,660 (one million one thousand six hundred sixty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 5 × 11 × 29 × 157. Its proper divisors sum to 1,387,300, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48BC.

Abundant Number Arithmetic Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,648 1,001,649 1,001,650 1,001,651 1,001,652 1,001,653 1,001,654 1,001,655 1,001,656 1,001,657 1,001,658 1,001,659 1,001,660 1,001,661 1,001,662 1,001,663 1,001,664 1,001,665 1,001,666 1,001,667 1,001,668 1,001,669 1,001,670 1,001,671 1,001,672

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 661,001
Flips to (rotate 180°): 991,001
Square (n²): 1,003,322,755,600
Cube (n³): 1,004,988,271,374,296,000
Divisor count: 48
σ(n) — sum of divisors: 2,388,960
φ(n) — Euler's totient: 349,440
Sum of prime factors: 206

Primality

Prime factorization: 2 ² × 5 × 11 × 29 × 157

Nearest primes: 1,001,659 (−1) · 1,001,669 (+9)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 29 · 44 · 55 · 58 · 110 · 116 · 145 · 157 · 220 · 290 · 314 · 319 · 580 · 628 · 638 · 785 · 1276 · 1570 · 1595 · 1727 · 3140 · 3190 · 3454 · 4553 · 6380 · 6908 · 8635 · 9106 · 17270 · 18212 · 22765 · 34540 · 45530 · 50083 · 91060 · 100166 · 200332 · 250415 · 500830 (half) · 1001660

Aliquot sum (sum of proper divisors): 1,387,300

Factor pairs (a × b = 1,001,660)

1 × 1001660

2 × 500830

4 × 250415

5 × 200332

10 × 100166

11 × 91060

20 × 50083

22 × 45530

29 × 34540

44 × 22765

55 × 18212

58 × 17270

110 × 9106

116 × 8635

145 × 6908

157 × 6380

220 × 4553

290 × 3454

314 × 3190

319 × 3140

580 × 1727

628 × 1595

638 × 1570

785 × 1276

First multiples

1,001,660 · 2,003,320 (double) · 3,004,980 · 4,006,640 · 5,008,300 · 6,009,960 · 7,011,620 · 8,013,280 · 9,014,940 · 10,016,600

Sums & aliquot sequence

As consecutive integers: 200,330 + 200,331 + 200,332 + 200,333 + 200,334 125,204 + 125,205 + … + 125,211 91,055 + 91,056 + … + 91,065 34,526 + 34,527 + … + 34,554

Aliquot sequence: 1,001,660 → 1,387,300 → 1,623,358 → 1,060,658 → 530,332 → 543,188 → 413,152 → 400,304 → 385,360 → 510,788 → 388,264 → 339,746 → 216,238 → 137,642 → 68,824 → 78,776 → 73,024 — unresolved within range

Continued fraction of √n

√1,001,660 = [1000; (1, 4, 1, 6, 1, 2, 1, 1, 2, 1, 13, 1, 1, 2, 1, 2, 1, 2, 1, 2, 3, 2, 1, 1, …)]

Representations

In words: one million one thousand six hundred sixty
Ordinal: 1001660th
Binary: 11110100100010111100
Octal: 3644274
Hexadecimal: 0xF48BC
Base64: D0i8
One's complement: 4,293,965,635 (32-bit)
Scientific notation: 1.00166 × 10⁶
As a duration: 1,001,660 s = 11 days, 14 hours, 14 minutes, 20 seconds

In other bases

ternary (3) 1212220000112

quaternary (4) 3310202330

quinary (5) 224023120

senary (6) 33245152

septenary (7) 11341202

nonary (9) 1786015

undecimal (11) 624620

duodecimal (12) 4037b8

tridecimal (13) 290bca

tetradecimal (14) 1c1072

pentadecimal (15) 14bbc5

As an angle

1,001,660° = 2,782 × 360° + 140°

140° ≈ 2.443 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千六百六十
Chinese (financial): 壹佰萬壹仟陸佰陸拾

In other modern scripts

Eastern Arabic ١٠٠١٦٦٠ Devanagari १००१६६० Bengali ১০০১৬৬০ Tamil ௧௦௦௧௬௬௦ Thai ๑๐๐๑๖๖๐ Tibetan ༡༠༠༡༦༦༠ Khmer ១០០១៦៦០ Lao ໑໐໐໑໖໖໐ Burmese ၁၀၀၁၆၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001660, here are decompositions:

31 + 1001629 = 1001660
67 + 1001593 = 1001660
73 + 1001587 = 1001660
97 + 1001563 = 1001660
109 + 1001551 = 1001660
193 + 1001467 = 1001660
229 + 1001431 = 1001660
271 + 1001389 = 1001660

Showing the first eight; more decompositions exist.

Hex color

#0F48BC

RGB(15, 72, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.188.

Address: 0.15.72.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.188

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 1,001,660 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 US1,001,660 on Google Patents ↗ Look up on USPTO ↗