Live analysis

1,020,448

1,020,448 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.).

1,020,448 (one million twenty thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 13 × 223. Its proper divisors sum to 1,350,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9220.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,020,436 1,020,437 1,020,438 1,020,439 1,020,440 1,020,441 1,020,442 1,020,443 1,020,444 1,020,445 1,020,446 1,020,447 1,020,448 1,020,449 1,020,450 1,020,451 1,020,452 1,020,453 1,020,454 1,020,455 1,020,456 1,020,457 1,020,458 1,020,459 1,020,460

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,440,201
Square (n²): 1,041,314,120,704
Cube (n³): 1,062,606,911,844,155,392
Divisor count: 48
σ(n) — sum of divisors: 2,370,816
φ(n) — Euler's totient: 426,240
Sum of prime factors: 257

Primality

Prime factorization: 2 ⁵ × 11 × 13 × 223

Nearest primes: 1,020,431 (−17) · 1,020,451 (+3)

Divisors & multiples

All divisors (48)

1 · 2 · 4 · 8 · 11 · 13 · 16 · 22 · 26 · 32 · 44 · 52 · 88 · 104 · 143 · 176 · 208 · 223 · 286 · 352 · 416 · 446 · 572 · 892 · 1144 · 1784 · 2288 · 2453 · 2899 · 3568 · 4576 · 4906 · 5798 · 7136 · 9812 · 11596 · 19624 · 23192 · 31889 · 39248 · 46384 · 63778 · 78496 · 92768 · 127556 · 255112 · 510224 (half) · 1020448

Aliquot sum (sum of proper divisors): 1,350,368

Factor pairs (a × b = 1,020,448)

1 × 1020448

2 × 510224

4 × 255112

8 × 127556

11 × 92768

13 × 78496

16 × 63778

22 × 46384

26 × 39248

32 × 31889

44 × 23192

52 × 19624

88 × 11596

104 × 9812

143 × 7136

176 × 5798

208 × 4906

223 × 4576

286 × 3568

352 × 2899

416 × 2453

446 × 2288

572 × 1784

892 × 1144

First multiples

1,020,448 · 2,040,896 (double) · 3,061,344 · 4,081,792 · 5,102,240 · 6,122,688 · 7,143,136 · 8,163,584 · 9,184,032 · 10,204,480

Sums & aliquot sequence

As consecutive integers: 92,763 + 92,764 + … + 92,773 78,490 + 78,491 + … + 78,502 15,913 + 15,914 + … + 15,976 7,065 + 7,066 + … + 7,207

Aliquot sequence: 1,020,448 → 1,350,368 → 1,449,352 → 1,428,308 → 1,528,492 → 1,571,668 → 1,571,724 → 3,661,560 → 9,947,880 → 23,978,520 → 55,815,480 → 169,999,560 → 410,219,640 → 968,585,040 → 2,572,959,120 → 5,403,214,896 → 8,669,738,544 — unresolved within range

Continued fraction of √n

√1,020,448 = [1010; (5, 1, 4, 7, 1, 1, 1, 8, 2, 1, 2, 1, 1, 1, 5, 1, 3, 5, 1, 40, 2, 1, 1, 3, …)]

Representations

In words: one million twenty thousand four hundred forty-eight
Ordinal: 1020448th
Binary: 11111001001000100000
Octal: 3711040
Hexadecimal: 0xF9220
Base64: D5Ig
One's complement: 4,293,946,847 (32-bit)
Scientific notation: 1.020448 × 10⁶
As a duration: 1,020,448 s = 11 days, 19 hours, 27 minutes, 28 seconds

In other bases

ternary (3) 1220211210101

quaternary (4) 3321020200

quinary (5) 230123243

senary (6) 33512144

septenary (7) 11450032

nonary (9) 1824711

undecimal (11) 637750

duodecimal (12) 412654

tridecimal (13) 299620

tetradecimal (14) 1c7c52

pentadecimal (15) 15254d

As an angle

1,020,448° = 2,834 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零二萬零四百四十八
Chinese (financial): 壹佰零貳萬零肆佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٢٠٤٤٨ Devanagari १०२०४४८ Bengali ১০২০৪৪৮ Tamil ௧௦௨௦௪௪௮ Thai ๑๐๒๐๔๔๘ Tibetan ༡༠༢༠༤༤༨ Khmer ១០២០៤៤៨ Lao ໑໐໒໐໔໔໘ Burmese ၁၀၂၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1020448, here are decompositions:

17 + 1020431 = 1020448
29 + 1020419 = 1020448
41 + 1020407 = 1020448
47 + 1020401 = 1020448
59 + 1020389 = 1020448
179 + 1020269 = 1020448
311 + 1020137 = 1020448
347 + 1020101 = 1020448

Showing the first eight; more decompositions exist.

Hex color

#0F9220

RGB(15, 146, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.146.32.

Address: 0.15.146.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.146.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 0448 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0448-02-01 (DMMYYYY (Euro, single-digit day))
0448-10-02 (MMDYYYY (US, single-digit day))
0448-02-10 (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 1,020,448 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,020,448 on Google Patents ↗ Look up on USPTO ↗