Live analysis

1,009,840

1,009,840 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.).

1,009,840 (one million nine thousand eight hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 971. Its proper divisors sum to 1,521,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF68B0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,009,828 1,009,829 1,009,830 1,009,831 1,009,832 1,009,833 1,009,834 1,009,835 1,009,836 1,009,837 1,009,838 1,009,839 1,009,840 1,009,841 1,009,842 1,009,843 1,009,844 1,009,845 1,009,846 1,009,847 1,009,848 1,009,849 1,009,850 1,009,851 1,009,852

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 489,001
Recamán's sequence: a(352,671) = 1,009,840
Square (n²): 1,019,776,825,600
Cube (n³): 1,029,811,429,563,904,000
Divisor count: 40
σ(n) — sum of divisors: 2,531,088
φ(n) — Euler's totient: 372,480
Sum of prime factors: 997

Primality

Prime factorization: 2 ⁴ × 5 × 13 × 971

Nearest primes: 1,009,837 (−3) · 1,009,843 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 104 · 130 · 208 · 260 · 520 · 971 · 1040 · 1942 · 3884 · 4855 · 7768 · 9710 · 12623 · 15536 · 19420 · 25246 · 38840 · 50492 · 63115 · 77680 · 100984 · 126230 · 201968 · 252460 · 504920 (half) · 1009840

Aliquot sum (sum of proper divisors): 1,521,248

Factor pairs (a × b = 1,009,840)

1 × 1009840

2 × 504920

4 × 252460

5 × 201968

8 × 126230

10 × 100984

13 × 77680

16 × 63115

20 × 50492

26 × 38840

40 × 25246

52 × 19420

65 × 15536

80 × 12623

104 × 9710

130 × 7768

208 × 4855

260 × 3884

520 × 1942

971 × 1040

First multiples

1,009,840 · 2,019,680 (double) · 3,029,520 · 4,039,360 · 5,049,200 · 6,059,040 · 7,068,880 · 8,078,720 · 9,088,560 · 10,098,400

Sums & aliquot sequence

As consecutive integers: 201,966 + 201,967 + 201,968 + 201,969 + 201,970 77,674 + 77,675 + … + 77,686 31,542 + 31,543 + … + 31,573 15,504 + 15,505 + … + 15,568

Aliquot sequence: 1,009,840 → 1,521,248 → 1,504,264 → 1,364,936 → 1,237,204 → 1,083,436 → 812,584 → 711,026 → 355,516 → 355,572 → 745,164 → 1,408,260 → 3,188,220 → 7,015,428 → 14,334,264 → 33,682,536 → 57,541,194 — unresolved within range

Continued fraction of √n

√1,009,840 = [1004; (1, 9, 1, 6, 2, 1, 2, 6, 1, 9, 1, 2008)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million nine thousand eight hundred forty
Ordinal: 1009840th
Binary: 11110110100010110000
Octal: 3664260
Hexadecimal: 0xF68B0
Base64: D2iw
One's complement: 4,293,957,455 (32-bit)
Scientific notation: 1.00984 × 10⁶
As a duration: 1,009,840 s = 11 days, 16 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 1220022020111

quaternary (4) 3312202300

quinary (5) 224303330

senary (6) 33351104

septenary (7) 11404066

nonary (9) 1808214

undecimal (11) 62a787

duodecimal (12) 408494

tridecimal (13) 294850

tetradecimal (14) 1c4036

pentadecimal (15) 14e32a

As an angle

1,009,840° = 2,805 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百萬九千八百四十
Chinese (financial): 壹佰萬玖仟捌佰肆拾

In other modern scripts

Eastern Arabic ١٠٠٩٨٤٠ Devanagari १००९८४० Bengali ১০০৯৮৪০ Tamil ௧௦௦௯௮௪௦ Thai ๑๐๐๙๘๔๐ Tibetan ༡༠༠༩༨༤༠ Khmer ១០០៩៨៤០ Lao ໑໐໐໙໘໔໐ Burmese ၁၀၀၉၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1009840, here are decompositions:

3 + 1009837 = 1009840
53 + 1009787 = 1009840
59 + 1009781 = 1009840
113 + 1009727 = 1009840
191 + 1009649 = 1009840
197 + 1009643 = 1009840
239 + 1009601 = 1009840
281 + 1009559 = 1009840

Showing the first eight; more decompositions exist.

Hex color

#0F68B0

RGB(15, 104, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.104.176.

Address: 0.15.104.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.104.176

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 1,009,840 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 US1,009,840 on Google Patents ↗ Look up on USPTO ↗