Live analysis

1,052,000

1,052,000 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.).

1,052,000 (one million fifty-two thousand) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5³ × 263. Its proper divisors sum to 1,542,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100D60.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,051,988 1,051,989 1,051,990 1,051,991 1,051,992 1,051,993 1,051,994 1,051,995 1,051,996 1,051,997 1,051,998 1,051,999 1,052,000 1,052,001 1,052,002 1,052,003 1,052,004 1,052,005 1,052,006 1,052,007 1,052,008 1,052,009 1,052,010 1,052,011 1,052,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 21 bits
Reversed: 2,501
Square (n²): 1,106,704,000,000
Cube (n³): 1,164,252,608,000,000,000
Divisor count: 48
σ(n) — sum of divisors: 2,594,592
φ(n) — Euler's totient: 419,200
Sum of prime factors: 288

Primality

Prime factorization: 2 ⁵ × 5 ³ × 263

Nearest primes: 1,051,991 (−9) · 1,052,027 (+27)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 125 · 160 · 200 · 250 · 263 · 400 · 500 · 526 · 800 · 1000 · 1052 · 1315 · 2000 · 2104 · 2630 · 4000 · 4208 · 5260 · 6575 · 8416 · 10520 · 13150 · 21040 · 26300 · 32875 · 42080 · 52600 · 65750 · 105200 · 131500 · 210400 · 263000 · 526000 (half) · 1052000

Aliquot sum (sum of proper divisors): 1,542,592

Factor pairs (a × b = 1,052,000)

1 × 1052000

2 × 526000

4 × 263000

5 × 210400

8 × 131500

10 × 105200

16 × 65750

20 × 52600

25 × 42080

32 × 32875

40 × 26300

50 × 21040

80 × 13150

100 × 10520

125 × 8416

160 × 6575

200 × 5260

250 × 4208

263 × 4000

400 × 2630

500 × 2104

526 × 2000

800 × 1315

1000 × 1052

First multiples

1,052,000 · 2,104,000 (double) · 3,156,000 · 4,208,000 · 5,260,000 · 6,312,000 · 7,364,000 · 8,416,000 · 9,468,000 · 10,520,000

Sums & aliquot sequence

As consecutive integers: 210,398 + 210,399 + 210,400 + 210,401 + 210,402 42,068 + 42,069 + … + 42,092 16,406 + 16,407 + … + 16,469 8,354 + 8,355 + … + 8,478

Aliquot sequence: 1,052,000 → 1,542,592 → 1,518,616 → 1,587,824 → 1,928,320 → 2,918,720 → 5,030,464 → 5,082,800 → 7,348,696 → 6,430,124 → 4,991,020 → 5,664,548 → 4,248,418 → 2,135,930 → 1,734,790 → 1,403,978 → 723,994 — unresolved within range

Continued fraction of √n

√1,052,000 = [1025; (1, 2, 28, 1, 1, 3, 1, 3, 10, 22, 1, 19, 1, 1, 3, 1, 9, 1, 25, 16, 1, 10, 1, 2, …)]

Representations

In words: one million fifty-two thousand
Ordinal: 1052000th
Binary: 100000000110101100000
Octal: 4006540
Hexadecimal: 0x100D60
Base64: EA1g
One's complement: 4,293,915,295 (32-bit)
Scientific notation: 1.052 × 10⁶
As a duration: 1,052,000 s = 12 days, 4 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 1222110001222

quaternary (4) 10000311200

quinary (5) 232131000

senary (6) 34314212

septenary (7) 11641025

nonary (9) 1873058

undecimal (11) 659424

duodecimal (12) 428968

tridecimal (13) 2aaab1

tetradecimal (14) 1d554c

pentadecimal (15) 15ba85

As an angle

1,052,000° = 2,922 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼
Chinese: 一百零五萬二千
Chinese (financial): 壹佰零伍萬貳仟

In other modern scripts

Eastern Arabic ١٠٥٢٠٠٠ Devanagari १०५२००० Bengali ১০৫২০০০ Tamil ௧௦௫௨௦௦௦ Thai ๑๐๕๒๐๐๐ Tibetan ༡༠༥༢༠༠༠ Khmer ១០៥២០០០ Lao ໑໐໕໒໐໐໐ Burmese ၁၀၅၂၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052000, here are decompositions:

13 + 1051987 = 1052000
43 + 1051957 = 1052000
73 + 1051927 = 1052000
97 + 1051903 = 1052000
151 + 1051849 = 1052000
181 + 1051819 = 1052000
211 + 1051789 = 1052000
241 + 1051759 = 1052000

Showing the first eight; more decompositions exist.

Hex color

#100D60

RGB(16, 13, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.96.

Address: 0.16.13.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.13.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 2000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

2000-05-01 (DMMYYYY (Euro, single-digit day))
2000-10-05 (MMDYYYY (US, single-digit day))
2000-05-10 (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 1,052,000 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 US1,052,000 on Google Patents ↗ Look up on USPTO ↗