Live analysis

1,027,072

1,027,072 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.).

1,027,072 (one million twenty-seven thousand seventy-two) is an even 7-digit number. It is a composite number with 44 divisors, and factors as 2¹⁰ × 17 × 59. Its proper divisors sum to 1,183,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAC00.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,027,060 1,027,061 1,027,062 1,027,063 1,027,064 1,027,065 1,027,066 1,027,067 1,027,068 1,027,069 1,027,070 1,027,071 1,027,072 1,027,073 1,027,074 1,027,075 1,027,076 1,027,077 1,027,078 1,027,079 1,027,080 1,027,081 1,027,082 1,027,083 1,027,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,707,201
Square (n²): 1,054,876,893,184
Cube (n³): 1,083,434,520,436,277,248
Divisor count: 44
σ(n) — sum of divisors: 2,210,760
φ(n) — Euler's totient: 475,136
Sum of prime factors: 96

Primality

Prime factorization: 2 ¹⁰ × 17 × 59

Nearest primes: 1,027,067 (−5) · 1,027,097 (+25)

Divisors & multiples

All divisors (44)

1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 59 · 64 · 68 · 118 · 128 · 136 · 236 · 256 · 272 · 472 · 512 · 544 · 944 · 1003 · 1024 · 1088 · 1888 · 2006 · 2176 · 3776 · 4012 · 4352 · 7552 · 8024 · 8704 · 15104 · 16048 · 17408 · 30208 · 32096 · 60416 · 64192 · 128384 · 256768 · 513536 (half) · 1027072

Aliquot sum (sum of proper divisors): 1,183,688

Factor pairs (a × b = 1,027,072)

1 × 1027072

2 × 513536

4 × 256768

8 × 128384

16 × 64192

17 × 60416

32 × 32096

34 × 30208

59 × 17408

64 × 16048

68 × 15104

118 × 8704

128 × 8024

136 × 7552

236 × 4352

256 × 4012

272 × 3776

472 × 2176

512 × 2006

544 × 1888

944 × 1088

1003 × 1024

First multiples

1,027,072 · 2,054,144 (double) · 3,081,216 · 4,108,288 · 5,135,360 · 6,162,432 · 7,189,504 · 8,216,576 · 9,243,648 · 10,270,720

Sums & aliquot sequence

As consecutive integers: 60,408 + 60,409 + … + 60,424 17,379 + 17,380 + … + 17,437 523 + 524 + … + 1,525

Aliquot sequence: 1,027,072 → 1,183,688 → 1,237,672 → 1,116,728 → 977,152 → 1,156,784 → 1,102,000 → 1,799,600 → 2,928,520 → 4,602,680 → 5,753,440 → 11,229,344 → 14,037,184 → 17,798,160 → 37,376,880 → 85,320,624 → 135,091,112 — unresolved within range

Continued fraction of √n

√1,027,072 = [1013; (2, 4, 10, 2, 1, 1, 3, 3, 4, 3, 1, 5, 2, 31, 4, 1, 3, 6, 19, 1, 1, 12, 1, 2, …)]

Representations

In words: one million twenty-seven thousand seventy-two
Ordinal: 1027072nd
Binary: 11111010110000000000
Octal: 3726000
Hexadecimal: 0xFAC00
Base64: D6wA
One's complement: 4,293,940,223 (32-bit)
Scientific notation: 1.027072 × 10⁶
As a duration: 1,027,072 s = 11 days, 21 hours, 17 minutes, 52 seconds

In other bases

ternary (3) 1221011212201

quaternary (4) 3322300000

quinary (5) 230331242

senary (6) 34002544

septenary (7) 11505244

nonary (9) 1834781

undecimal (11) 641722

duodecimal (12) 416454

tridecimal (13) 29c647

tetradecimal (14) 1ca424

pentadecimal (15) 1544b7

As an angle

1,027,072° = 2,852 × 360° + 352°

352° ≈ 6.144 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零二萬七千零七十二
Chinese (financial): 壹佰零貳萬柒仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٢٧٠٧٢ Devanagari १०२७०७२ Bengali ১০২৭০৭২ Tamil ௧௦௨௭௦௭௨ Thai ๑๐๒๗๐๗๒ Tibetan ༡༠༢༧༠༧༢ Khmer ១០២៧០៧២ Lao ໑໐໒໗໐໗໒ Burmese ၁၀၂၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027072, here are decompositions:

5 + 1027067 = 1027072
41 + 1027031 = 1027072
71 + 1027001 = 1027072
83 + 1026989 = 1027072
131 + 1026941 = 1027072
173 + 1026899 = 1027072
239 + 1026833 = 1027072
281 + 1026791 = 1027072

Showing the first eight; more decompositions exist.

Hex color

#0FAC00

RGB(15, 172, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.172.0.

Address: 0.15.172.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.172.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 7072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7072-02-01 (DMMYYYY (Euro, single-digit day))
7072-10-02 (MMDYYYY (US, single-digit day))
7072-02-10 (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 1,027,072 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 US1,027,072 on Google Patents ↗ Look up on USPTO ↗