Live analysis

1,040,040

1,040,040 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.).

1,040,040 (one million forty thousand forty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3⁵ × 5 × 107. Its proper divisors sum to 2,498,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFDEA8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 400,401
Square (n²): 1,081,683,201,600
Cube (n³): 1,124,993,796,992,064,000
Divisor count: 96
σ(n) — sum of divisors: 3,538,080
φ(n) — Euler's totient: 274,752
Sum of prime factors: 133

Primality

Prime factorization: 2 ³ × 3 ⁵ × 5 × 107

Nearest primes: 1,040,029 (−11) · 1,040,051 (+11)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 54 · 60 · 72 · 81 · 90 · 107 · 108 · 120 · 135 · 162 · 180 · 214 · 216 · 243 · 270 · 321 · 324 · 360 · 405 · 428 · 486 · 535 · 540 · 642 · 648 · 810 · 856 · 963 · 972 · 1070 · 1080 · 1215 · 1284 · 1605 · 1620 · 1926 · 1944 · 2140 · 2430 · 2568 · 2889 · 3210 · 3240 · 3852 · 4280 · 4815 · 4860 · 5778 · 6420 · 7704 · 8667 · 9630 · 9720 · 11556 · 12840 · 14445 · 17334 · 19260 · 23112 · 26001 · 28890 · 34668 · 38520 · 43335 · 52002 · 57780 · 69336 · 86670 · 104004 · 115560 · 130005 · 173340 · 208008 · 260010 · 346680 · 520020 (half) · 1040040

Aliquot sum (sum of proper divisors): 2,498,040

Factor pairs (a × b = 1,040,040)

1 × 1040040

2 × 520020

3 × 346680

4 × 260010

5 × 208008

6 × 173340

8 × 130005

9 × 115560

10 × 104004

12 × 86670

15 × 69336

18 × 57780

20 × 52002

24 × 43335

27 × 38520

30 × 34668

36 × 28890

40 × 26001

45 × 23112

54 × 19260

60 × 17334

72 × 14445

81 × 12840

90 × 11556

107 × 9720

108 × 9630

120 × 8667

135 × 7704

162 × 6420

180 × 5778

214 × 4860

216 × 4815

243 × 4280

270 × 3852

321 × 3240

324 × 3210

360 × 2889

405 × 2568

428 × 2430

486 × 2140

535 × 1944

540 × 1926

642 × 1620

648 × 1605

810 × 1284

856 × 1215

963 × 1080

972 × 1070

First multiples

1,040,040 · 2,080,080 (double) · 3,120,120 · 4,160,160 · 5,200,200 · 6,240,240 · 7,280,280 · 8,320,320 · 9,360,360 · 10,400,400

Sums & aliquot sequence

As consecutive integers: 346,679 + 346,680 + 346,681 208,006 + 208,007 + 208,008 + 208,009 + 208,010 115,556 + 115,557 + … + 115,564 69,329 + 69,330 + … + 69,343

Aliquot sequence: 1,040,040 → 2,498,040 → 5,954,040 → 14,565,960 → 33,990,840 → 89,841,960 → 240,782,040 → 545,925,960 → 1,279,274,040 → 3,401,877,960 → 8,936,042,040 → 20,850,768,360 — keeps growing

Continued fraction of √n

√1,040,040 = [1019; (1, 4, 1, 1, 1, 225, 1, 49, 1, 225, 1, 1, 1, 4, 1, 2038)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million forty thousand forty
Ordinal: 1040040th
Binary: 11111101111010101000
Octal: 3757250
Hexadecimal: 0xFDEA8
Base64: D96o
One's complement: 4,293,927,255 (32-bit)
Scientific notation: 1.04004 × 10⁶
As a duration: 1,040,040 s = 12 days, 54 minutes

In other bases

ternary (3) 1221211200000

quaternary (4) 3331322220

quinary (5) 231240130

senary (6) 34143000

septenary (7) 11561121

nonary (9) 1854600

undecimal (11) 650441

duodecimal (12) 421a60

tridecimal (13) 2a5511

tetradecimal (14) 1d1048

pentadecimal (15) 158260

As an angle

1,040,040° = 2,889 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Chinese: 一百零四萬零四十
Chinese (financial): 壹佰零肆萬零肆拾

In other modern scripts

Eastern Arabic ١٠٤٠٠٤٠ Devanagari १०४००४० Bengali ১০৪০০৪০ Tamil ௧௦௪௦௦௪௦ Thai ๑๐๔๐๐๔๐ Tibetan ༡༠༤༠༠༤༠ Khmer ១០៤០០៤០ Lao ໑໐໔໐໐໔໐ Burmese ၁၀၄၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1040040, here are decompositions:

11 + 1040029 = 1040040
19 + 1040021 = 1040040
41 + 1039999 = 1040040
61 + 1039979 = 1040040
97 + 1039943 = 1040040
109 + 1039931 = 1040040
139 + 1039901 = 1040040
149 + 1039891 = 1040040

Showing the first eight; more decompositions exist.

Hex color

#0FDEA8

RGB(15, 222, 168)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.222.168.

Address: 0.15.222.168
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.222.168

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 0040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0040-04-01 (DMMYYYY (Euro, single-digit day))
0040-10-04 (MMDYYYY (US, single-digit day))
0040-04-10 (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 1,040,040 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 US1,040,040 on Google Patents ↗ Look up on USPTO ↗