Live analysis

1,041,040

1,041,040 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.).

1,041,040 (one million forty-one thousand forty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 5 × 7 × 11 × 13². Its proper divisors sum to 2,226,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE290.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,041,028 1,041,029 1,041,030 1,041,031 1,041,032 1,041,033 1,041,034 1,041,035 1,041,036 1,041,037 1,041,038 1,041,039 1,041,040 1,041,041 1,041,042 1,041,043 1,041,044 1,041,045 1,041,046 1,041,047 1,041,048 1,041,049 1,041,050 1,041,051 1,041,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 401,401
Square (n²): 1,083,764,281,600
Cube (n³): 1,128,241,967,716,864,000
Divisor count: 120
σ(n) — sum of divisors: 3,267,648
φ(n) — Euler's totient: 299,520
Sum of prime factors: 57

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 11 × 13 ²

Nearest primes: 1,040,989 (−51) · 1,041,041 (+1)

Divisors & multiples

All divisors (120)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 13 · 14 · 16 · 20 · 22 · 26 · 28 · 35 · 40 · 44 · 52 · 55 · 56 · 65 · 70 · 77 · 80 · 88 · 91 · 104 · 110 · 112 · 130 · 140 · 143 · 154 · 169 · 176 · 182 · 208 · 220 · 260 · 280 · 286 · 308 · 338 · 364 · 385 · 440 · 455 · 520 · 560 · 572 · 616 · 676 · 715 · 728 · 770 · 845 · 880 · 910 · 1001 · 1040 · 1144 · 1183 · 1232 · 1352 · 1430 · 1456 · 1540 · 1690 · 1820 · 1859 · 2002 · 2288 · 2366 · 2704 · 2860 · 3080 · 3380 · 3640 · 3718 · 4004 · 4732 · 5005 · 5720 · 5915 · 6160 · 6760 · 7280 · 7436 · 8008 · 9295 · 9464 · 10010 · 11440 · 11830 · 13013 · 13520 · 14872 · 16016 · 18590 · 18928 · 20020 · 23660 · 26026 · 29744 · 37180 · 40040 · 47320 · 52052 · 65065 · 74360 · 80080 · 94640 · 104104 · 130130 · 148720 · 208208 · 260260 · 520520 (half) · 1041040

Aliquot sum (sum of proper divisors): 2,226,608

Factor pairs (a × b = 1,041,040)

1 × 1041040

2 × 520520

4 × 260260

5 × 208208

7 × 148720

8 × 130130

10 × 104104

11 × 94640

13 × 80080

14 × 74360

16 × 65065

20 × 52052

22 × 47320

26 × 40040

28 × 37180

35 × 29744

40 × 26026

44 × 23660

52 × 20020

55 × 18928

56 × 18590

65 × 16016

70 × 14872

77 × 13520

80 × 13013

88 × 11830

91 × 11440

104 × 10010

110 × 9464

112 × 9295

130 × 8008

140 × 7436

143 × 7280

154 × 6760

169 × 6160

176 × 5915

182 × 5720

208 × 5005

220 × 4732

260 × 4004

280 × 3718

286 × 3640

308 × 3380

338 × 3080

364 × 2860

385 × 2704

440 × 2366

455 × 2288

520 × 2002

560 × 1859

572 × 1820

616 × 1690

676 × 1540

715 × 1456

728 × 1430

770 × 1352

845 × 1232

880 × 1183

910 × 1144

1001 × 1040

First multiples

1,041,040 · 2,082,080 (double) · 3,123,120 · 4,164,160 · 5,205,200 · 6,246,240 · 7,287,280 · 8,328,320 · 9,369,360 · 10,410,400

Sums & aliquot sequence

As consecutive integers: 208,206 + 208,207 + 208,208 + 208,209 + 208,210 148,717 + 148,718 + … + 148,723 94,635 + 94,636 + … + 94,645 80,074 + 80,075 + … + 80,086

Aliquot sequence: 1,041,040 → 2,226,608 → 2,110,912 → 2,078,056 → 1,833,884 → 1,622,380 → 1,784,660 → 2,343,100 → 2,741,644 → 2,092,220 → 2,673,100 → 3,127,744 → 3,079,000 → 4,128,200 → 5,470,330 → 4,773,254 → 2,386,630 — unresolved within range

Continued fraction of √n

√1,041,040 = [1020; (3, 5, 3, 7, 1, 1, 1, 11, 2, 2, 1, 2, 2, 1, 1, 1, 3, 24, 1, 11, 8, 1, 3, 226, …)]

Representations

In words: one million forty-one thousand forty
Ordinal: 1041040th
Binary: 11111110001010010000
Octal: 3761220
Hexadecimal: 0xFE290
Base64: D+KQ
One's complement: 4,293,926,255 (32-bit)
Scientific notation: 1.04104 × 10⁶
As a duration: 1,041,040 s = 12 days, 1 hour, 10 minutes, 40 seconds

In other bases

ternary (3) 1221220001001

quaternary (4) 3332022100

quinary (5) 231303130

senary (6) 34151344

septenary (7) 11564050

nonary (9) 1856031

undecimal (11) 651170

duodecimal (12) 422554

tridecimal (13) 2a5b00

tetradecimal (14) 1d1560

pentadecimal (15) 1586ca

As an angle

1,041,040° = 2,891 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零四萬一千零四十
Chinese (financial): 壹佰零肆萬壹仟零肆拾

In other modern scripts

Eastern Arabic ١٠٤١٠٤٠ Devanagari १०४१०४० Bengali ১০৪১০৪০ Tamil ௧௦௪௧௦௪௦ Thai ๑๐๔๑๐๔๐ Tibetan ༡༠༤༡༠༤༠ Khmer ១០៤១០៤០ Lao ໑໐໔໑໐໔໐ Burmese ၁၀၄၁၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1041040, here are decompositions:

59 + 1040981 = 1041040
89 + 1040951 = 1041040
101 + 1040939 = 1041040
149 + 1040891 = 1041040
167 + 1040873 = 1041040
179 + 1040861 = 1041040
227 + 1040813 = 1041040
233 + 1040807 = 1041040

Showing the first eight; more decompositions exist.

Hex color

#0FE290

RGB(15, 226, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.226.144.

Address: 0.15.226.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.226.144

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 4, 1040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1040-04-01 (DMMYYYY (Euro, single-digit day))
1040-10-04 (MMDYYYY (US, single-digit day))
1040-04-10 (DDMYYYY (Euro, single-digit month))

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 1,041,040 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,041,040 on Google Patents ↗ Look up on USPTO ↗