Live analysis

1,027,040

1,027,040 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.).

1,027,040 (one million twenty-seven thousand forty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5 × 7² × 131. Its proper divisors sum to 1,817,032, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFABE0.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,027,028 1,027,029 1,027,030 1,027,031 1,027,032 1,027,033 1,027,034 1,027,035 1,027,036 1,027,037 1,027,038 1,027,039 1,027,040 1,027,041 1,027,042 1,027,043 1,027,044 1,027,045 1,027,046 1,027,047 1,027,048 1,027,049 1,027,050 1,027,051 1,027,052

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 407,201
Square (n²): 1,054,811,161,600
Cube (n³): 1,083,333,255,409,664,000
Divisor count: 72
σ(n) — sum of divisors: 2,844,072
φ(n) — Euler's totient: 349,440
Sum of prime factors: 160

Primality

Prime factorization: 2 ⁵ × 5 × 7 ² × 131

Nearest primes: 1,027,031 (−9) · 1,027,051 (+11)

Divisors & multiples

All divisors (72)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 49 · 56 · 70 · 80 · 98 · 112 · 131 · 140 · 160 · 196 · 224 · 245 · 262 · 280 · 392 · 490 · 524 · 560 · 655 · 784 · 917 · 980 · 1048 · 1120 · 1310 · 1568 · 1834 · 1960 · 2096 · 2620 · 3668 · 3920 · 4192 · 4585 · 5240 · 6419 · 7336 · 7840 · 9170 · 10480 · 12838 · 14672 · 18340 · 20960 · 25676 · 29344 · 32095 · 36680 · 51352 · 64190 · 73360 · 102704 · 128380 · 146720 · 205408 · 256760 · 513520 (half) · 1027040

Aliquot sum (sum of proper divisors): 1,817,032

Factor pairs (a × b = 1,027,040)

1 × 1027040

2 × 513520

4 × 256760

5 × 205408

7 × 146720

8 × 128380

10 × 102704

14 × 73360

16 × 64190

20 × 51352

28 × 36680

32 × 32095

35 × 29344

40 × 25676

49 × 20960

56 × 18340

70 × 14672

80 × 12838

98 × 10480

112 × 9170

131 × 7840

140 × 7336

160 × 6419

196 × 5240

224 × 4585

245 × 4192

262 × 3920

280 × 3668

392 × 2620

490 × 2096

524 × 1960

560 × 1834

655 × 1568

784 × 1310

917 × 1120

980 × 1048

First multiples

1,027,040 · 2,054,080 (double) · 3,081,120 · 4,108,160 · 5,135,200 · 6,162,240 · 7,189,280 · 8,216,320 · 9,243,360 · 10,270,400

Sums & aliquot sequence

As consecutive integers: 205,406 + 205,407 + 205,408 + 205,409 + 205,410 146,717 + 146,718 + … + 146,723 29,327 + 29,328 + … + 29,361 20,936 + 20,937 + … + 20,984

Aliquot sequence: 1,027,040 → 1,817,032 → 2,140,088 → 1,872,592 → 1,755,586 → 1,254,014 → 632,314 → 319,706 → 159,856 → 156,096 → 292,976 → 274,696 → 240,374 → 131,914 → 65,960 → 92,800 → 144,350 — unresolved within range

Continued fraction of √n

√1,027,040 = [1013; (2, 3, 16, 16, 1, 2, 4, 1, 1, 7, 4, 10, 10, 11, 2, 2, 1, 1, 12, 11, 1, 10, 1, 1, …)]

Representations

In words: one million twenty-seven thousand forty
Ordinal: 1027040th
Binary: 11111010101111100000
Octal: 3725740
Hexadecimal: 0xFABE0
Base64: D6vg
One's complement: 4,293,940,255 (32-bit)
Scientific notation: 1.02704 × 10⁶
As a duration: 1,027,040 s = 11 days, 21 hours, 17 minutes, 20 seconds

In other bases

ternary (3) 1221011211112

quaternary (4) 3322233200

quinary (5) 230331130

senary (6) 34002452

septenary (7) 11505200

nonary (9) 1834745

undecimal (11) 6416a3

duodecimal (12) 416428

tridecimal (13) 29c621

tetradecimal (14) 1ca400

pentadecimal (15) 154495

As an angle

1,027,040° = 2,852 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Chinese: 一百零二萬七千零四十
Chinese (financial): 壹佰零貳萬柒仟零肆拾

In other modern scripts

Eastern Arabic ١٠٢٧٠٤٠ Devanagari १०२७०४० Bengali ১০২৭০৪০ Tamil ௧௦௨௭௦௪௦ Thai ๑๐๒๗๐๔๐ Tibetan ༡༠༢༧༠༤༠ Khmer ១០២៧០៤០ Lao ໑໐໒໗໐໔໐ Burmese ၁၀၂၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027040, here are decompositions:

13 + 1027027 = 1027040
37 + 1027003 = 1027040
61 + 1026979 = 1027040
97 + 1026943 = 1027040
127 + 1026913 = 1027040
181 + 1026859 = 1027040
193 + 1026847 = 1027040
211 + 1026829 = 1027040

Showing the first eight; more decompositions exist.

Hex color

#0FABE0

RGB(15, 171, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.171.224.

Address: 0.15.171.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.171.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 7040 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7040-02-01 (DMMYYYY (Euro, single-digit day))
7040-10-02 (MMDYYYY (US, single-digit day))
7040-02-10 (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 1,027,040 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 US1,027,040 on Google Patents ↗ Look up on USPTO ↗