Live analysis

1,001,840

1,001,840 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.).

1,001,840 (one million one thousand eight hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 1,789. Its proper divisors sum to 1,661,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4970.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,828 1,001,829 1,001,830 1,001,831 1,001,832 1,001,833 1,001,834 1,001,835 1,001,836 1,001,837 1,001,838 1,001,839 1,001,840 1,001,841 1,001,842 1,001,843 1,001,844 1,001,845 1,001,846 1,001,847 1,001,848 1,001,849 1,001,850 1,001,851 1,001,852

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 481,001
Square (n²): 1,003,683,385,600
Cube (n³): 1,005,530,163,029,504,000
Divisor count: 40
σ(n) — sum of divisors: 2,663,520
φ(n) — Euler's totient: 343,296
Sum of prime factors: 1,809

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 1789

Nearest primes: 1,001,839 (−1) · 1,001,911 (+71)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 280 · 560 · 1789 · 3578 · 7156 · 8945 · 12523 · 14312 · 17890 · 25046 · 28624 · 35780 · 50092 · 62615 · 71560 · 100184 · 125230 · 143120 · 200368 · 250460 · 500920 (half) · 1001840

Aliquot sum (sum of proper divisors): 1,661,680

Factor pairs (a × b = 1,001,840)

1 × 1001840

2 × 500920

4 × 250460

5 × 200368

7 × 143120

8 × 125230

10 × 100184

14 × 71560

16 × 62615

20 × 50092

28 × 35780

35 × 28624

40 × 25046

56 × 17890

70 × 14312

80 × 12523

112 × 8945

140 × 7156

280 × 3578

560 × 1789

First multiples

1,001,840 · 2,003,680 (double) · 3,005,520 · 4,007,360 · 5,009,200 · 6,011,040 · 7,012,880 · 8,014,720 · 9,016,560 · 10,018,400

Sums & aliquot sequence

As consecutive integers: 200,366 + 200,367 + 200,368 + 200,369 + 200,370 143,117 + 143,118 + … + 143,123 31,292 + 31,293 + … + 31,323 28,607 + 28,608 + … + 28,641

Aliquot sequence: 1,001,840 → 1,661,680 → 2,201,912 → 2,069,488 → 1,965,720 → 3,931,800 → 8,258,640 → 19,322,928 → 36,142,272 → 73,576,584 → 125,693,526 → 166,736,994 → 167,127,774 → 198,002,082 → 213,207,198 → 213,207,210 → 342,810,486 — unresolved within range

Continued fraction of √n

√1,001,840 = [1000; (1, 11, 2, 3, 3, 3, 2, 11, 1, 2000)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million one thousand eight hundred forty
Ordinal: 1001840th
Binary: 11110100100101110000
Octal: 3644560
Hexadecimal: 0xF4970
Base64: D0lw
One's complement: 4,293,965,455 (32-bit)
Scientific notation: 1.00184 × 10⁶
As a duration: 1,001,840 s = 11 days, 14 hours, 17 minutes, 20 seconds

In other bases

ternary (3) 1212220021012

quaternary (4) 3310211300

quinary (5) 224024330

senary (6) 33250052

septenary (7) 11341550

nonary (9) 1786235

undecimal (11) 624774

duodecimal (12) 403928

tridecimal (13) 291008

tetradecimal (14) 1c1160

pentadecimal (15) 14bc95

As an angle

1,001,840° = 2,782 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬一千八百四十
Chinese (financial): 壹佰萬壹仟捌佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٨٤٠ Devanagari १००१८४० Bengali ১০০১৮৪০ Tamil ௧௦௦௧௮௪௦ Thai ๑๐๐๑๘๔๐ Tibetan ༡༠༠༡༨༤༠ Khmer ១០០១៨៤០ Lao ໑໐໐໑໘໔໐ Burmese ၁၀၀၁၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001840, here are decompositions:

19 + 1001821 = 1001840
31 + 1001809 = 1001840
43 + 1001797 = 1001840
97 + 1001743 = 1001840
127 + 1001713 = 1001840
157 + 1001683 = 1001840
181 + 1001659 = 1001840
211 + 1001629 = 1001840

Showing the first eight; more decompositions exist.

Hex color

#0F4970

RGB(15, 73, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.73.112.

Address: 0.15.73.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.73.112

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 1,001,840 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 US1,001,840 on Google Patents ↗ Look up on USPTO ↗