Live analysis

1,010,040

1,010,040 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.).

1,010,040 (one million ten thousand forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 443. Its proper divisors sum to 2,186,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6978.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,010,028 1,010,029 1,010,030 1,010,031 1,010,032 1,010,033 1,010,034 1,010,035 1,010,036 1,010,037 1,010,038 1,010,039 1,010,040 1,010,041 1,010,042 1,010,043 1,010,044 1,010,045 1,010,046 1,010,047 1,010,048 1,010,049 1,010,050 1,010,051 1,010,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 400,101
Square (n²): 1,020,180,801,600
Cube (n³): 1,030,423,416,848,064,000
Divisor count: 64
σ(n) — sum of divisors: 3,196,800
φ(n) — Euler's totient: 254,592
Sum of prime factors: 476

Primality

Prime factorization: 2 ³ × 3 × 5 × 19 × 443

Nearest primes: 1,010,033 (−7) · 1,010,069 (+29)

Divisors & multiples

All divisors (64)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 30 · 38 · 40 · 57 · 60 · 76 · 95 · 114 · 120 · 152 · 190 · 228 · 285 · 380 · 443 · 456 · 570 · 760 · 886 · 1140 · 1329 · 1772 · 2215 · 2280 · 2658 · 3544 · 4430 · 5316 · 6645 · 8417 · 8860 · 10632 · 13290 · 16834 · 17720 · 25251 · 26580 · 33668 · 42085 · 50502 · 53160 · 67336 · 84170 · 101004 · 126255 · 168340 · 202008 · 252510 · 336680 · 505020 (half) · 1010040

Aliquot sum (sum of proper divisors): 2,186,760

Factor pairs (a × b = 1,010,040)

1 × 1010040

2 × 505020

3 × 336680

4 × 252510

5 × 202008

6 × 168340

8 × 126255

10 × 101004

12 × 84170

15 × 67336

19 × 53160

20 × 50502

24 × 42085

30 × 33668

38 × 26580

40 × 25251

57 × 17720

60 × 16834

76 × 13290

95 × 10632

114 × 8860

120 × 8417

152 × 6645

190 × 5316

228 × 4430

285 × 3544

380 × 2658

443 × 2280

456 × 2215

570 × 1772

760 × 1329

886 × 1140

First multiples

1,010,040 · 2,020,080 (double) · 3,030,120 · 4,040,160 · 5,050,200 · 6,060,240 · 7,070,280 · 8,080,320 · 9,090,360 · 10,100,400

Sums & aliquot sequence

As consecutive integers: 336,679 + 336,680 + 336,681 202,006 + 202,007 + 202,008 + 202,009 + 202,010 67,329 + 67,330 + … + 67,343 63,120 + 63,121 + … + 63,135

Aliquot sequence: 1,010,040 → 2,186,760 → 4,373,880 → 11,109,000 → 30,299,640 → 75,460,440 → 173,419,800 → 364,183,440 → 768,297,648 → 1,216,471,400 → 1,651,693,240 → 2,066,083,640 → 2,630,037,160 → 3,287,546,540 → 3,746,564,740 → 4,124,869,460 → 5,242,079,404 — unresolved within range

Continued fraction of √n

√1,010,040 = [1005; (134, 2010)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand forty
Ordinal: 1010040th
Binary: 11110110100101111000
Octal: 3664570
Hexadecimal: 0xF6978
Base64: D2l4
One's complement: 4,293,957,255 (32-bit)
Scientific notation: 1.01004 × 10⁶
As a duration: 1,010,040 s = 11 days, 16 hours, 34 minutes

In other bases

ternary (3) 1220022111220

quaternary (4) 3312211320

quinary (5) 224310130

senary (6) 33352040

septenary (7) 11404503

nonary (9) 1808456

undecimal (11) 62a949

duodecimal (12) 408620

tridecimal (13) 294975

tetradecimal (14) 1c413a

pentadecimal (15) 14e410

As an angle

1,010,040° = 2,805 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓎆𓎆𓎆𓎆
Chinese: 一百零一萬零四十
Chinese (financial): 壹佰零壹萬零肆拾

In other modern scripts

Eastern Arabic ١٠١٠٠٤٠ Devanagari १०१००४० Bengali ১০১০০৪০ Tamil ௧௦௧௦௦௪௦ Thai ๑๐๑๐๐๔๐ Tibetan ༡༠༡༠༠༤༠ Khmer ១០១០០៤០ Lao ໑໐໑໐໐໔໐ Burmese ၁၀၁၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010040, here are decompositions:

7 + 1010033 = 1010040
37 + 1010003 = 1010040
43 + 1009997 = 1010040
47 + 1009993 = 1010040
89 + 1009951 = 1010040
103 + 1009937 = 1010040
113 + 1009927 = 1010040
131 + 1009909 = 1010040

Showing the first eight; more decompositions exist.

Hex color

#0F6978

RGB(15, 105, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.120.

Address: 0.15.105.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 0040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0040-10-01 (MMDYYYY (US, single-digit day))
0040-01-10 (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 1,010,040 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 US1,010,040 on Google Patents ↗ Look up on USPTO ↗