Live analysis

1,055,520

1,055,520 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.).

1,055,520 (one million fifty-five thousand five hundred twenty) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 5 × 733. Its proper divisors sum to 2,551,356, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101B20.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,055,508 1,055,509 1,055,510 1,055,511 1,055,512 1,055,513 1,055,514 1,055,515 1,055,516 1,055,517 1,055,518 1,055,519 1,055,520 1,055,521 1,055,522 1,055,523 1,055,524 1,055,525 1,055,526 1,055,527 1,055,528 1,055,529 1,055,530 1,055,531 1,055,532

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 21 bits
Reversed: 255,501
Square (n²): 1,114,122,470,400
Cube (n³): 1,175,978,549,956,608,000
Divisor count: 72
σ(n) — sum of divisors: 3,606,876
φ(n) — Euler's totient: 281,088
Sum of prime factors: 754

Primality

Prime factorization: 2 ⁵ × 3 ² × 5 × 733

Nearest primes: 1,055,503 (−17) · 1,055,531 (+11)

Divisors & multiples

All divisors (72)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 96 · 120 · 144 · 160 · 180 · 240 · 288 · 360 · 480 · 720 · 733 · 1440 · 1466 · 2199 · 2932 · 3665 · 4398 · 5864 · 6597 · 7330 · 8796 · 10995 · 11728 · 13194 · 14660 · 17592 · 21990 · 23456 · 26388 · 29320 · 32985 · 35184 · 43980 · 52776 · 58640 · 65970 · 70368 · 87960 · 105552 · 117280 · 131940 · 175920 · 211104 · 263880 · 351840 · 527760 (half) · 1055520

Aliquot sum (sum of proper divisors): 2,551,356

Factor pairs (a × b = 1,055,520)

1 × 1055520

2 × 527760

3 × 351840

4 × 263880

5 × 211104

6 × 175920

8 × 131940

9 × 117280

10 × 105552

12 × 87960

15 × 70368

16 × 65970

18 × 58640

20 × 52776

24 × 43980

30 × 35184

32 × 32985

36 × 29320

40 × 26388

45 × 23456

48 × 21990

60 × 17592

72 × 14660

80 × 13194

90 × 11728

96 × 10995

120 × 8796

144 × 7330

160 × 6597

180 × 5864

240 × 4398

288 × 3665

360 × 2932

480 × 2199

720 × 1466

733 × 1440

First multiples

1,055,520 · 2,111,040 (double) · 3,166,560 · 4,222,080 · 5,277,600 · 6,333,120 · 7,388,640 · 8,444,160 · 9,499,680 · 10,555,200

Sums & aliquot sequence

As a sum of two squares: 252² + 996² = 396² + 948²

As consecutive integers: 351,839 + 351,840 + 351,841 211,102 + 211,103 + 211,104 + 211,105 + 211,106 117,276 + 117,277 + … + 117,284 70,361 + 70,362 + … + 70,375

Aliquot sequence: 1,055,520 → 2,551,356 → 3,959,148 → 5,574,684 → 7,432,940 → 8,300,932 → 6,694,524 → 10,227,836 → 8,796,484 → 6,597,370 → 6,869,510 → 5,681,386 → 2,881,718 → 2,058,394 → 1,463,054 → 925,474 → 733,406 — unresolved within range

Continued fraction of √n

√1,055,520 = [1027; (2, 1, 1, 2, 13, 1, 7, 1, 2, 513, 2, 1, 7, 1, 13, 2, 1, 1, 2, 2054)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million fifty-five thousand five hundred twenty
Ordinal: 1055520th
Binary: 100000001101100100000
Octal: 4015440
Hexadecimal: 0x101B20
Base64: EBsg
One's complement: 4,293,911,775 (32-bit)
Scientific notation: 1.05552 × 10⁶
As a duration: 1,055,520 s = 12 days, 5 hours, 12 minutes

In other bases

ternary (3) 1222121220100

quaternary (4) 10001230200

quinary (5) 232234040

senary (6) 34342400

septenary (7) 11654214

nonary (9) 1877810

undecimal (11) 661034

duodecimal (12) 42aa00

tridecimal (13) 2ac58b

tetradecimal (14) 1d6944

pentadecimal (15) 15cb30

As an angle

1,055,520° = 2,932 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百零五萬五千五百二十
Chinese (financial): 壹佰零伍萬伍仟伍佰貳拾

In other modern scripts

Eastern Arabic ١٠٥٥٥٢٠ Devanagari १०५५५२० Bengali ১০৫৫৫২০ Tamil ௧௦௫௫௫௨௦ Thai ๑๐๕๕๕๒๐ Tibetan ༡༠༥༥༥༢༠ Khmer ១០៥៥៥២០ Lao ໑໐໕໕໕໒໐ Burmese ၁၀၅၅၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055520, here are decompositions:

17 + 1055503 = 1055520
19 + 1055501 = 1055520
31 + 1055489 = 1055520
83 + 1055437 = 1055520
97 + 1055423 = 1055520
107 + 1055413 = 1055520
113 + 1055407 = 1055520
149 + 1055371 = 1055520

Showing the first eight; more decompositions exist.

Hex color

#101B20

RGB(16, 27, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.27.32.

Address: 0.16.27.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.27.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 5520 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

5520-05-01 (DMMYYYY (Euro, single-digit day))
5520-10-05 (MMDYYYY (US, single-digit day))
5520-05-10 (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 1,055,520 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 US1,055,520 on Google Patents ↗ Look up on USPTO ↗