Live analysis

1,021,264

1,021,264 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.).

1,021,264 (one million twenty-one thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 29 × 31 × 71. Its proper divisors sum to 1,121,456, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9550.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,021,252 1,021,253 1,021,254 1,021,255 1,021,256 1,021,257 1,021,258 1,021,259 1,021,260 1,021,261 1,021,262 1,021,263 1,021,264 1,021,265 1,021,266 1,021,267 1,021,268 1,021,269 1,021,270 1,021,271 1,021,272 1,021,273 1,021,274 1,021,275 1,021,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,621,201
Square (n²): 1,042,980,157,696
Cube (n³): 1,065,158,087,769,247,744
Divisor count: 40
σ(n) — sum of divisors: 2,142,720
φ(n) — Euler's totient: 470,400
Sum of prime factors: 139

Primality

Prime factorization: 2 ⁴ × 29 × 31 × 71

Nearest primes: 1,021,261 (−3) · 1,021,271 (+7)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 16 · 29 · 31 · 58 · 62 · 71 · 116 · 124 · 142 · 232 · 248 · 284 · 464 · 496 · 568 · 899 · 1136 · 1798 · 2059 · 2201 · 3596 · 4118 · 4402 · 7192 · 8236 · 8804 · 14384 · 16472 · 17608 · 32944 · 35216 · 63829 · 127658 · 255316 · 510632 (half) · 1021264

Aliquot sum (sum of proper divisors): 1,121,456

Factor pairs (a × b = 1,021,264)

1 × 1021264

2 × 510632

4 × 255316

8 × 127658

16 × 63829

29 × 35216

31 × 32944

58 × 17608

62 × 16472

71 × 14384

116 × 8804

124 × 8236

142 × 7192

232 × 4402

248 × 4118

284 × 3596

464 × 2201

496 × 2059

568 × 1798

899 × 1136

First multiples

1,021,264 · 2,042,528 (double) · 3,063,792 · 4,085,056 · 5,106,320 · 6,127,584 · 7,148,848 · 8,170,112 · 9,191,376 · 10,212,640

Sums & aliquot sequence

As consecutive integers: 35,202 + 35,203 + … + 35,230 32,929 + 32,930 + … + 32,959 31,899 + 31,900 + … + 31,930 14,349 + 14,350 + … + 14,419

Aliquot sequence: 1,021,264 → 1,121,456 → 1,735,504 → 1,736,496 → 3,292,944 → 5,492,208 → 9,157,648 → 9,690,352 → 12,466,960 → 20,245,232 → 29,769,424 → 31,083,824 → 33,257,296 → 36,777,904 → 36,778,896 → 96,926,832 → 183,096,912 — unresolved within range

Continued fraction of √n

√1,021,264 = [1010; (1, 1, 2, 1, 3, 1, 2, 8, 3, 5, 1, 223, 1, 2, 1, 2, 2, 15, 4, 11, 1, 2, 2, 24, …)]

Representations

In words: one million twenty-one thousand two hundred sixty-four
Ordinal: 1021264th
Binary: 11111001010101010000
Octal: 3712520
Hexadecimal: 0xF9550
Base64: D5VQ
One's complement: 4,293,946,031 (32-bit)
Scientific notation: 1.021264 × 10⁶
As a duration: 1,021,264 s = 11 days, 19 hours, 41 minutes, 4 seconds

In other bases

ternary (3) 1220212220121

quaternary (4) 3321111100

quinary (5) 230140024

senary (6) 33520024

septenary (7) 11452306

nonary (9) 1825817

undecimal (11) 638322

duodecimal (12) 413014

tridecimal (13) 299aca

tetradecimal (14) 1c8276

pentadecimal (15) 1528e4

As an angle

1,021,264° = 2,836 × 360° + 304°

304° ≈ 5.306 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零二萬一千二百六十四
Chinese (financial): 壹佰零貳萬壹仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٢١٢٦٤ Devanagari १०२१२६४ Bengali ১০২১২৬৪ Tamil ௧௦௨௧௨௬௪ Thai ๑๐๒๑๒๖๔ Tibetan ༡༠༢༡༢༦༤ Khmer ១០២១២៦៤ Lao ໑໐໒໑໒໖໔ Burmese ၁၀၂၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021264, here are decompositions:

3 + 1021261 = 1021264
5 + 1021259 = 1021264
11 + 1021253 = 1021264
47 + 1021217 = 1021264
107 + 1021157 = 1021264
137 + 1021127 = 1021264
173 + 1021091 = 1021264
191 + 1021073 = 1021264

Showing the first eight; more decompositions exist.

Hex color

#0F9550

RGB(15, 149, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.149.80.

Address: 0.15.149.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.149.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 2, 1264 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

1264-02-01 (DMMYYYY (Euro, single-digit day))
1264-10-02 (MMDYYYY (US, single-digit day))
1264-02-10 (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 1,021,264 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 US1,021,264 on Google Patents ↗ Look up on USPTO ↗