Live analysis

1,001,640

1,001,640 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.).

1,001,640 (one million one thousand six hundred forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 17 × 491. Its proper divisors sum to 2,186,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48A8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,628 1,001,629 1,001,630 1,001,631 1,001,632 1,001,633 1,001,634 1,001,635 1,001,636 1,001,637 1,001,638 1,001,639 1,001,640 1,001,641 1,001,642 1,001,643 1,001,644 1,001,645 1,001,646 1,001,647 1,001,648 1,001,649 1,001,650 1,001,651 1,001,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 461,001
Square (n²): 1,003,282,689,600
Cube (n³): 1,004,928,073,210,944,000
Divisor count: 64
σ(n) — sum of divisors: 3,188,160
φ(n) — Euler's totient: 250,880
Sum of prime factors: 522

Primality

Prime factorization: 2 ³ × 3 × 5 × 17 × 491

Nearest primes: 1,001,639 (−1) · 1,001,659 (+19)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 17 · 20 · 24 · 30 · 34 · 40 · 51 · 60 · 68 · 85 · 102 · 120 · 136 · 170 · 204 · 255 · 340 · 408 · 491 · 510 · 680 · 982 · 1020 · 1473 · 1964 · 2040 · 2455 · 2946 · 3928 · 4910 · 5892 · 7365 · 8347 · 9820 · 11784 · 14730 · 16694 · 19640 · 25041 · 29460 · 33388 · 41735 · 50082 · 58920 · 66776 · 83470 · 100164 · 125205 · 166940 · 200328 · 250410 · 333880 · 500820 (half) · 1001640

Aliquot sum (sum of proper divisors): 2,186,520

Factor pairs (a × b = 1,001,640)

1 × 1001640

2 × 500820

3 × 333880

4 × 250410

5 × 200328

6 × 166940

8 × 125205

10 × 100164

12 × 83470

15 × 66776

17 × 58920

20 × 50082

24 × 41735

30 × 33388

34 × 29460

40 × 25041

51 × 19640

60 × 16694

68 × 14730

85 × 11784

102 × 9820

120 × 8347

136 × 7365

170 × 5892

204 × 4910

255 × 3928

340 × 2946

408 × 2455

491 × 2040

510 × 1964

680 × 1473

982 × 1020

First multiples

1,001,640 · 2,003,280 (double) · 3,004,920 · 4,006,560 · 5,008,200 · 6,009,840 · 7,011,480 · 8,013,120 · 9,014,760 · 10,016,400

Sums & aliquot sequence

As consecutive integers: 333,879 + 333,880 + 333,881 200,326 + 200,327 + 200,328 + 200,329 + 200,330 66,769 + 66,770 + … + 66,783 62,595 + 62,596 + … + 62,610

Aliquot sequence: 1,001,640 → 2,186,520 → 5,762,280 → 12,093,720 → 25,369,320 → 51,264,600 → 111,433,320 → 267,190,200 → 630,129,600 → 1,609,550,960 → 2,132,655,208 → 1,866,073,322 → 1,002,452,470 → 931,319,498 → 496,704,022 → 262,409,834 → 131,276,314 — unresolved within range

Continued fraction of √n

√1,001,640 = [1000; (1, 4, 1, 1, 5, 33, 5, 1, 1, 4, 1, 2000)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million one thousand six hundred forty
Ordinal: 1001640th
Binary: 11110100100010101000
Octal: 3644250
Hexadecimal: 0xF48A8
Base64: D0io
One's complement: 4,293,965,655 (32-bit)
Scientific notation: 1.00164 × 10⁶
As a duration: 1,001,640 s = 11 days, 14 hours, 14 minutes

In other bases

ternary (3) 1212212222210

quaternary (4) 3310202220

quinary (5) 224023030

senary (6) 33245120

septenary (7) 11341143

nonary (9) 1785883

undecimal (11) 624602

duodecimal (12) 4037a0

tridecimal (13) 290bb3

tetradecimal (14) 1c105a

pentadecimal (15) 14bbb0

As an angle

1,001,640° = 2,782 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千六百四十
Chinese (financial): 壹佰萬壹仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٦٤٠ Devanagari १००१६४० Bengali ১০০১৬৪০ Tamil ௧௦௦௧௬௪௦ Thai ๑๐๐๑๖๔๐ Tibetan ༡༠༠༡༦༤༠ Khmer ១០០១៦៤០ Lao ໑໐໐໑໖໔໐ Burmese ၁၀၀၁၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001640, here are decompositions:

11 + 1001629 = 1001640
19 + 1001621 = 1001640
47 + 1001593 = 1001640
53 + 1001587 = 1001640
71 + 1001569 = 1001640
89 + 1001551 = 1001640
109 + 1001531 = 1001640
113 + 1001527 = 1001640

Showing the first eight; more decompositions exist.

Hex color

#0F48A8

RGB(15, 72, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.168.

Address: 0.15.72.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.168

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 1,001,640 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 US1,001,640 on Google Patents ↗ Look up on USPTO ↗