Live analysis

1,010,364

1,010,364 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.).

1,010,364 (one million ten thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 269 × 313. Its proper divisors sum to 1,363,476, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6ABC.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,010,352 1,010,353 1,010,354 1,010,355 1,010,356 1,010,357 1,010,358 1,010,359 1,010,360 1,010,361 1,010,362 1,010,363 1,010,364 1,010,365 1,010,366 1,010,367 1,010,368 1,010,369 1,010,370 1,010,371 1,010,372 1,010,373 1,010,374 1,010,375 1,010,376

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 4,630,101
Square (n²): 1,020,835,412,496
Cube (n³): 1,031,415,350,711,108,544
Divisor count: 24
σ(n) — sum of divisors: 2,373,840
φ(n) — Euler's totient: 334,464
Sum of prime factors: 589

Primality

Prime factorization: 2 ² × 3 × 269 × 313

Nearest primes: 1,010,357 (−7) · 1,010,381 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 269 · 313 · 538 · 626 · 807 · 939 · 1076 · 1252 · 1614 · 1878 · 3228 · 3756 · 84197 · 168394 · 252591 · 336788 · 505182 (half) · 1010364

Aliquot sum (sum of proper divisors): 1,363,476

Factor pairs (a × b = 1,010,364)

1 × 1010364

2 × 505182

3 × 336788

4 × 252591

6 × 168394

12 × 84197

269 × 3756

313 × 3228

538 × 1878

626 × 1614

807 × 1252

939 × 1076

First multiples

1,010,364 · 2,020,728 (double) · 3,031,092 · 4,041,456 · 5,051,820 · 6,062,184 · 7,072,548 · 8,082,912 · 9,093,276 · 10,103,640

Sums & aliquot sequence

As consecutive integers: 336,787 + 336,788 + 336,789 126,292 + 126,293 + … + 126,299 42,087 + 42,088 + … + 42,110 3,622 + 3,623 + … + 3,890

Aliquot sequence: 1,010,364 → 1,363,476 → 1,817,996 → 1,542,424 → 1,572,296 → 1,836,184 → 2,098,616 → 2,392,024 → 2,329,376 → 2,912,224 → 3,640,784 → 4,421,200 → 7,725,840 → 16,225,008 → 25,976,160 → 78,049,440 → 248,542,560 — unresolved within range

Continued fraction of √n

√1,010,364 = [1005; (5, 1, 13, 4, 2, 4, 13, 1, 5, 2010)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand three hundred sixty-four
Ordinal: 1010364th
Binary: 11110110101010111100
Octal: 3665274
Hexadecimal: 0xF6ABC
Base64: D2q8
One's complement: 4,293,956,931 (32-bit)
Scientific notation: 1.010364 × 10⁶
As a duration: 1,010,364 s = 11 days, 16 hours, 39 minutes, 24 seconds

In other bases

ternary (3) 1220022221220

quaternary (4) 3312222330

quinary (5) 224312424

senary (6) 33353340

septenary (7) 11405445

nonary (9) 1808856

undecimal (11) 630113

duodecimal (12) 408850

tridecimal (13) 294b64

tetradecimal (14) 1c42cc

pentadecimal (15) 14e579

As an angle

1,010,364° = 2,806 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬零三百六十四
Chinese (financial): 壹佰零壹萬零參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٠٣٦٤ Devanagari १०१०३६४ Bengali ১০১০৩৬৪ Tamil ௧௦௧௦௩௬௪ Thai ๑๐๑๐๓๖๔ Tibetan ༡༠༡༠༣༦༤ Khmer ១០១០៣៦៤ Lao ໑໐໑໐໓໖໔ Burmese ၁၀၁၀၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010364, here are decompositions:

7 + 1010357 = 1010364
11 + 1010353 = 1010364
67 + 1010297 = 1010364
73 + 1010291 = 1010364
101 + 1010263 = 1010364
127 + 1010237 = 1010364
163 + 1010201 = 1010364
197 + 1010167 = 1010364

Showing the first eight; more decompositions exist.

Hex color

#0F6ABC

RGB(15, 106, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.188.

Address: 0.15.106.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.106.188

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0364 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0364-10-01 (MMDYYYY (US, single-digit day))
0364-01-10 (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 1,010,364 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 US1,010,364 on Google Patents ↗ Look up on USPTO ↗