Live analysis

1,011,264

1,011,264 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.).

1,011,264 (one million eleven thousand two hundred sixty-four) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 23 × 229. Its proper divisors sum to 1,792,896, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6E40.

Abundant Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,011,252 1,011,253 1,011,254 1,011,255 1,011,256 1,011,257 1,011,258 1,011,259 1,011,260 1,011,261 1,011,262 1,011,263 1,011,264 1,011,265 1,011,266 1,011,267 1,011,268 1,011,269 1,011,270 1,011,271 1,011,272 1,011,273 1,011,274 1,011,275 1,011,276

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,621,101
Square (n²): 1,022,654,877,696
Cube (n³): 1,034,174,062,238,367,744
Divisor count: 56
σ(n) — sum of divisors: 2,804,160
φ(n) — Euler's totient: 321,024
Sum of prime factors: 267

Primality

Prime factorization: 2 ⁶ × 3 × 23 × 229

Nearest primes: 1,011,239 (−25) · 1,011,271 (+7)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 32 · 46 · 48 · 64 · 69 · 92 · 96 · 138 · 184 · 192 · 229 · 276 · 368 · 458 · 552 · 687 · 736 · 916 · 1104 · 1374 · 1472 · 1832 · 2208 · 2748 · 3664 · 4416 · 5267 · 5496 · 7328 · 10534 · 10992 · 14656 · 15801 · 21068 · 21984 · 31602 · 42136 · 43968 · 63204 · 84272 · 126408 · 168544 · 252816 · 337088 · 505632 (half) · 1011264

Aliquot sum (sum of proper divisors): 1,792,896

Factor pairs (a × b = 1,011,264)

1 × 1011264

2 × 505632

3 × 337088

4 × 252816

6 × 168544

8 × 126408

12 × 84272

16 × 63204

23 × 43968

24 × 42136

32 × 31602

46 × 21984

48 × 21068

64 × 15801

69 × 14656

92 × 10992

96 × 10534

138 × 7328

184 × 5496

192 × 5267

229 × 4416

276 × 3664

368 × 2748

458 × 2208

552 × 1832

687 × 1472

736 × 1374

916 × 1104

First multiples

1,011,264 · 2,022,528 (double) · 3,033,792 · 4,045,056 · 5,056,320 · 6,067,584 · 7,078,848 · 8,090,112 · 9,101,376 · 10,112,640

Sums & aliquot sequence

As consecutive integers: 337,087 + 337,088 + 337,089 43,957 + 43,958 + … + 43,979 14,622 + 14,623 + … + 14,690 7,837 + 7,838 + … + 7,964

Aliquot sequence: 1,011,264 → 1,792,896 → 4,082,304 → 6,762,336 → 14,284,704 → 30,107,616 → 68,450,592 → 142,527,840 → 415,291,296 → 861,054,432 → 1,722,110,880 → 5,165,714,400 → 15,798,443,808 — keeps growing

Continued fraction of √n

√1,011,264 = [1005; (1, 1, 1, 1, 1, 1, 6, 2, 1, 1, 4, 1, 1, 1, 10, 1, 3, 1, 1, 2, 2, 3, 5, 1, …)]

Representations

In words: one million eleven thousand two hundred sixty-four
Ordinal: 1011264th
Binary: 11110110111001000000
Octal: 3667100
Hexadecimal: 0xF6E40
Base64: D25A
One's complement: 4,293,956,031 (32-bit)
Scientific notation: 1.011264 × 10⁶
As a duration: 1,011,264 s = 11 days, 16 hours, 54 minutes, 24 seconds

In other bases

ternary (3) 1220101012020

quaternary (4) 3312321000

quinary (5) 224330024

senary (6) 33401440

septenary (7) 11411202

nonary (9) 1811166

undecimal (11) 630861

duodecimal (12) 409280

tridecimal (13) 2953a7

tetradecimal (14) 1c4772

pentadecimal (15) 14e979

As an angle

1,011,264° = 2,809 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬一千二百六十四
Chinese (financial): 壹佰零壹萬壹仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١١٢٦٤ Devanagari १०११२६४ Bengali ১০১১২৬৪ Tamil ௧௦௧௧௨௬௪ Thai ๑๐๑๑๒๖๔ Tibetan ༡༠༡༡༢༦༤ Khmer ១០១១២៦៤ Lao ໑໐໑໑໒໖໔ Burmese ၁၀၁၁၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1011264, here are decompositions:

31 + 1011233 = 1011264
43 + 1011221 = 1011264
47 + 1011217 = 1011264
73 + 1011191 = 1011264
97 + 1011167 = 1011264
101 + 1011163 = 1011264
127 + 1011137 = 1011264
157 + 1011107 = 1011264

Showing the first eight; more decompositions exist.

Hex color

#0F6E40

RGB(15, 110, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.110.64.

Address: 0.15.110.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.110.64

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 1264 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

1264-10-01 (MMDYYYY (US, single-digit day))
1264-01-10 (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 1,011,264 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 US1,011,264 on Google Patents ↗ Look up on USPTO ↗