Live analysis

1,057,000

1,057,000 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.).

1,057,000 (one million fifty-seven thousand) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5³ × 7 × 151. Its proper divisors sum to 1,788,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1020E8.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,056,988 1,056,989 1,056,990 1,056,991 1,056,992 1,056,993 1,056,994 1,056,995 1,056,996 1,056,997 1,056,998 1,056,999 1,057,000 1,057,001 1,057,002 1,057,003 1,057,004 1,057,005 1,057,006 1,057,007 1,057,008 1,057,009 1,057,010 1,057,011 1,057,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 21 bits
Reversed: 7,501
Square (n²): 1,117,249,000,000
Cube (n³): 1,180,932,193,000,000,000
Divisor count: 64
σ(n) — sum of divisors: 2,845,440
φ(n) — Euler's totient: 360,000
Sum of prime factors: 179

Primality

Prime factorization: 2 ³ × 5 ³ × 7 × 151

Nearest primes: 1,056,971 (−29) · 1,057,003 (+3)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 100 · 125 · 140 · 151 · 175 · 200 · 250 · 280 · 302 · 350 · 500 · 604 · 700 · 755 · 875 · 1000 · 1057 · 1208 · 1400 · 1510 · 1750 · 2114 · 3020 · 3500 · 3775 · 4228 · 5285 · 6040 · 7000 · 7550 · 8456 · 10570 · 15100 · 18875 · 21140 · 26425 · 30200 · 37750 · 42280 · 52850 · 75500 · 105700 · 132125 · 151000 · 211400 · 264250 · 528500 (half) · 1057000

Aliquot sum (sum of proper divisors): 1,788,440

Factor pairs (a × b = 1,057,000)

1 × 1057000

2 × 528500

4 × 264250

5 × 211400

7 × 151000

8 × 132125

10 × 105700

14 × 75500

20 × 52850

25 × 42280

28 × 37750

35 × 30200

40 × 26425

50 × 21140

56 × 18875

70 × 15100

100 × 10570

125 × 8456

140 × 7550

151 × 7000

175 × 6040

200 × 5285

250 × 4228

280 × 3775

302 × 3500

350 × 3020

500 × 2114

604 × 1750

700 × 1510

755 × 1400

875 × 1208

1000 × 1057

First multiples

1,057,000 · 2,114,000 (double) · 3,171,000 · 4,228,000 · 5,285,000 · 6,342,000 · 7,399,000 · 8,456,000 · 9,513,000 · 10,570,000

Sums & aliquot sequence

As consecutive integers: 211,398 + 211,399 + 211,400 + 211,401 + 211,402 150,997 + 150,998 + … + 151,003 66,055 + 66,056 + … + 66,070 42,268 + 42,269 + … + 42,292

Aliquot sequence: 1,057,000 → 1,788,440 → 2,235,640 → 3,252,920 → 4,732,600 → 6,271,160 → 9,855,400 → 13,058,870 → 12,584,218 → 6,802,394 → 3,401,200 → 5,524,568 → 6,571,432 → 7,842,968 → 8,963,512 → 7,895,288 → 7,270,072 — unresolved within range

Continued fraction of √n

√1,057,000 = [1028; (9, 1, 1, 12, 1, 1, 1, 8, 2, 12, 3, 2, 1, 7, 1, 1, 3, 1, 3, 4, 1, 6, 3, 3, …)]

Representations

In words: one million fifty-seven thousand
Ordinal: 1057000th
Binary: 100000010000011101000
Octal: 4020350
Hexadecimal: 0x1020E8
Base64: ECDo
One's complement: 4,293,910,295 (32-bit)
Scientific notation: 1.057 × 10⁶
As a duration: 1,057,000 s = 12 days, 5 hours, 36 minutes, 40 seconds

In other bases

ternary (3) 1222200221011

quaternary (4) 10002003220

quinary (5) 232311000

senary (6) 34353304

septenary (7) 11661430

nonary (9) 1880834

undecimal (11) 66215a

duodecimal (12) 42b834

tridecimal (13) 2b0159

tetradecimal (14) 1d72c0

pentadecimal (15) 15d2ba

As an angle

1,057,000° = 2,936 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零五萬七千
Chinese (financial): 壹佰零伍萬柒仟

In other modern scripts

Eastern Arabic ١٠٥٧٠٠٠ Devanagari १०५७००० Bengali ১০৫৭০০০ Tamil ௧௦௫௭௦௦௦ Thai ๑๐๕๗๐๐๐ Tibetan ༡༠༥༧༠༠༠ Khmer ១០៥៧០០០ Lao ໑໐໕໗໐໐໐ Burmese ၁၀၅၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057000, here are decompositions:

29 + 1056971 = 1057000
41 + 1056959 = 1057000
71 + 1056929 = 1057000
83 + 1056917 = 1057000
89 + 1056911 = 1057000
107 + 1056893 = 1057000
137 + 1056863 = 1057000
167 + 1056833 = 1057000

Showing the first eight; more decompositions exist.

Hex color

#1020E8

RGB(16, 32, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.32.232.

Address: 0.16.32.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.32.232

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 7000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

7000-05-01 (DMMYYYY (Euro, single-digit day))
7000-10-05 (MMDYYYY (US, single-digit day))
7000-05-10 (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 1,057,000 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 US1,057,000 on Google Patents ↗ Look up on USPTO ↗