Live analysis

1,002,040

1,002,040 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.).

1,002,040 (one million two thousand forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 13 × 41 × 47. Its proper divisors sum to 1,538,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A38.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,028 1,002,029 1,002,030 1,002,031 1,002,032 1,002,033 1,002,034 1,002,035 1,002,036 1,002,037 1,002,038 1,002,039 1,002,040 1,002,041 1,002,042 1,002,043 1,002,044 1,002,045 1,002,046 1,002,047 1,002,048 1,002,049 1,002,050 1,002,051 1,002,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 402,001
Square (n²): 1,004,084,161,600
Cube (n³): 1,006,132,493,289,664,000
Divisor count: 64
σ(n) — sum of divisors: 2,540,160
φ(n) — Euler's totient: 353,280
Sum of prime factors: 112

Primality

Prime factorization: 2 ³ × 5 × 13 × 41 × 47

Nearest primes: 1,002,017 (−23) · 1,002,049 (+9)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 41 · 47 · 52 · 65 · 82 · 94 · 104 · 130 · 164 · 188 · 205 · 235 · 260 · 328 · 376 · 410 · 470 · 520 · 533 · 611 · 820 · 940 · 1066 · 1222 · 1640 · 1880 · 1927 · 2132 · 2444 · 2665 · 3055 · 3854 · 4264 · 4888 · 5330 · 6110 · 7708 · 9635 · 10660 · 12220 · 15416 · 19270 · 21320 · 24440 · 25051 · 38540 · 50102 · 77080 · 100204 · 125255 · 200408 · 250510 · 501020 (half) · 1002040

Aliquot sum (sum of proper divisors): 1,538,120

Factor pairs (a × b = 1,002,040)

1 × 1002040

2 × 501020

4 × 250510

5 × 200408

8 × 125255

10 × 100204

13 × 77080

20 × 50102

26 × 38540

40 × 25051

41 × 24440

47 × 21320

52 × 19270

65 × 15416

82 × 12220

94 × 10660

104 × 9635

130 × 7708

164 × 6110

188 × 5330

205 × 4888

235 × 4264

260 × 3854

328 × 3055

376 × 2665

410 × 2444

470 × 2132

520 × 1927

533 × 1880

611 × 1640

820 × 1222

940 × 1066

First multiples

1,002,040 · 2,004,080 (double) · 3,006,120 · 4,008,160 · 5,010,200 · 6,012,240 · 7,014,280 · 8,016,320 · 9,018,360 · 10,020,400

Sums & aliquot sequence

As consecutive integers: 200,406 + 200,407 + 200,408 + 200,409 + 200,410 77,074 + 77,075 + … + 77,086 62,620 + 62,621 + … + 62,635 24,420 + 24,421 + … + 24,460

Aliquot sequence: 1,002,040 → 1,538,120 → 1,922,740 → 2,115,056 → 2,046,136 → 1,790,384 → 1,706,416 → 1,744,256 → 1,730,884 → 1,298,170 → 1,093,670 → 874,954 → 445,274 → 226,054 → 113,030 → 94,330 → 75,482 — unresolved within range

Continued fraction of √n

√1,002,040 = [1001; (51, 2, 1, 221, 1, 3, 1, 1, 5, 6, 1, 2, 1, 23, 1, 39, 1, 8, 1, 5, 5, 2, 1, 1, …)]

Representations

In words: one million two thousand forty
Ordinal: 1002040th
Binary: 11110100101000111000
Octal: 3645070
Hexadecimal: 0xF4A38
Base64: D0o4
One's complement: 4,293,965,255 (32-bit)
Scientific notation: 1.00204 × 10⁶
As a duration: 1,002,040 s = 11 days, 14 hours, 20 minutes, 40 seconds

In other bases

ternary (3) 1212220112121

quaternary (4) 3310220320

quinary (5) 224031130

senary (6) 33251024

septenary (7) 11342254

nonary (9) 1786477

undecimal (11) 624936

duodecimal (12) 403a74

tridecimal (13) 291130

tetradecimal (14) 1c1264

pentadecimal (15) 14bd7a

As an angle

1,002,040° = 2,783 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百萬二千零四十
Chinese (financial): 壹佰萬貳仟零肆拾

In other modern scripts

Eastern Arabic ١٠٠٢٠٤٠ Devanagari १००२०४० Bengali ১০০২০৪০ Tamil ௧௦௦௨௦௪௦ Thai ๑๐๐๒๐๔๐ Tibetan ༡༠༠༢༠༤༠ Khmer ១០០២០៤០ Lao ໑໐໐໒໐໔໐ Burmese ၁၀၀၂၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002040, here are decompositions:

23 + 1002017 = 1002040
59 + 1001981 = 1002040
107 + 1001933 = 1002040
233 + 1001807 = 1002040
239 + 1001801 = 1002040
257 + 1001783 = 1002040
317 + 1001723 = 1002040
353 + 1001687 = 1002040

Showing the first eight; more decompositions exist.

Hex color

#0F4A38

RGB(15, 74, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.56.

Address: 0.15.74.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.56

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 1,002,040 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 US1,002,040 on Google Patents ↗ Look up on USPTO ↗