Live analysis

1,012,464

1,012,464 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.).

1,012,464 (one million twelve thousand four hundred sixty-four) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 79 × 89. Its proper divisors sum to 1,889,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF72F0.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,012,452 1,012,453 1,012,454 1,012,455 1,012,456 1,012,457 1,012,458 1,012,459 1,012,460 1,012,461 1,012,462 1,012,463 1,012,464 1,012,465 1,012,466 1,012,467 1,012,468 1,012,469 1,012,470 1,012,471 1,012,472 1,012,473 1,012,474 1,012,475 1,012,476

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,642,101
Square (n²): 1,025,083,351,296
Cube (n³): 1,037,859,990,186,553,344
Divisor count: 60
σ(n) — sum of divisors: 2,901,600
φ(n) — Euler's totient: 329,472
Sum of prime factors: 182

Primality

Prime factorization: 2 ⁴ × 3 ² × 79 × 89

Nearest primes: 1,012,463 (−1) · 1,012,481 (+17)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 79 · 89 · 144 · 158 · 178 · 237 · 267 · 316 · 356 · 474 · 534 · 632 · 711 · 712 · 801 · 948 · 1068 · 1264 · 1422 · 1424 · 1602 · 1896 · 2136 · 2844 · 3204 · 3792 · 4272 · 5688 · 6408 · 7031 · 11376 · 12816 · 14062 · 21093 · 28124 · 42186 · 56248 · 63279 · 84372 · 112496 · 126558 · 168744 · 253116 · 337488 · 506232 (half) · 1012464

Aliquot sum (sum of proper divisors): 1,889,136

Factor pairs (a × b = 1,012,464)

1 × 1012464

2 × 506232

3 × 337488

4 × 253116

6 × 168744

8 × 126558

9 × 112496

12 × 84372

16 × 63279

18 × 56248

24 × 42186

36 × 28124

48 × 21093

72 × 14062

79 × 12816

89 × 11376

144 × 7031

158 × 6408

178 × 5688

237 × 4272

267 × 3792

316 × 3204

356 × 2844

474 × 2136

534 × 1896

632 × 1602

711 × 1424

712 × 1422

801 × 1264

948 × 1068

First multiples

1,012,464 · 2,024,928 (double) · 3,037,392 · 4,049,856 · 5,062,320 · 6,074,784 · 7,087,248 · 8,099,712 · 9,112,176 · 10,124,640

Sums & aliquot sequence

As consecutive integers: 337,487 + 337,488 + 337,489 112,492 + 112,493 + … + 112,500 31,624 + 31,625 + … + 31,655 12,777 + 12,778 + … + 12,855

Aliquot sequence: 1,012,464 → 1,889,136 → 3,534,624 → 6,777,216 → 14,153,184 → 27,129,456 → 49,172,952 → 74,893,848 → 115,413,912 → 206,804,088 → 355,259,232 → 655,010,028 → 1,097,060,292 → 1,676,064,426 → 1,735,193,430 → 3,026,343,402 → 3,530,734,008 — unresolved within range

Continued fraction of √n

√1,012,464 = [1006; (4, 1, 2, 2, 1, 6, 3, 1, 1, 79, 1, 12, 1, 79, 1, 1, 3, 6, 1, 2, 2, 1, 4, 2012)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand four hundred sixty-four
Ordinal: 1012464th
Binary: 11110111001011110000
Octal: 3671360
Hexadecimal: 0xF72F0
Base64: D3Lw
One's complement: 4,293,954,831 (32-bit)
Scientific notation: 1.012464 × 10⁶
As a duration: 1,012,464 s = 11 days, 17 hours, 14 minutes, 24 seconds

In other bases

ternary (3) 1220102211200

quaternary (4) 3313023300

quinary (5) 224344324

senary (6) 33411200

septenary (7) 11414535

nonary (9) 1812750

undecimal (11) 631752

duodecimal (12) 409b00

tridecimal (13) 295abb

tetradecimal (14) 1c4d8c

pentadecimal (15) 14eec9

As an angle

1,012,464° = 2,812 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬二千四百六十四
Chinese (financial): 壹佰零壹萬貳仟肆佰陸拾肆

In other modern scripts

Eastern Arabic ١٠١٢٤٦٤ Devanagari १०१२४६४ Bengali ১০১২৪৬৪ Tamil ௧௦௧௨௪௬௪ Thai ๑๐๑๒๔๖๔ Tibetan ༡༠༡༢༤༦༤ Khmer ១០១២៤៦៤ Lao ໑໐໑໒໔໖໔ Burmese ၁၀၁၂၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012464, here are decompositions:

7 + 1012457 = 1012464
17 + 1012447 = 1012464
31 + 1012433 = 1012464
41 + 1012423 = 1012464
43 + 1012421 = 1012464
53 + 1012411 = 1012464
67 + 1012397 = 1012464
157 + 1012307 = 1012464

Showing the first eight; more decompositions exist.

Hex color

#0F72F0

RGB(15, 114, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.240.

Address: 0.15.114.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.114.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 2464 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2464-10-01 (MMDYYYY (US, single-digit day))
2464-01-10 (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 1,012,464 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 US1,012,464 on Google Patents ↗ Look up on USPTO ↗