Live analysis

1,012,640

1,012,640 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.).

1,012,640 (one million twelve thousand six hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 5 × 6,329. Its proper divisors sum to 1,380,100, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF73A0.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,012,628 1,012,629 1,012,630 1,012,631 1,012,632 1,012,633 1,012,634 1,012,635 1,012,636 1,012,637 1,012,638 1,012,639 1,012,640 1,012,641 1,012,642 1,012,643 1,012,644 1,012,645 1,012,646 1,012,647 1,012,648 1,012,649 1,012,650 1,012,651 1,012,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 462,101
Square (n²): 1,025,439,769,600
Cube (n³): 1,038,401,328,287,744,000
Divisor count: 24
σ(n) — sum of divisors: 2,392,740
φ(n) — Euler's totient: 404,992
Sum of prime factors: 6,344

Primality

Prime factorization: 2 ⁵ × 5 × 6329

Nearest primes: 1,012,637 (−3) · 1,012,657 (+17)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 80 · 160 · 6329 · 12658 · 25316 · 31645 · 50632 · 63290 · 101264 · 126580 · 202528 · 253160 · 506320 (half) · 1012640

Aliquot sum (sum of proper divisors): 1,380,100

Factor pairs (a × b = 1,012,640)

1 × 1012640

2 × 506320

4 × 253160

5 × 202528

8 × 126580

10 × 101264

16 × 63290

20 × 50632

32 × 31645

40 × 25316

80 × 12658

160 × 6329

First multiples

1,012,640 · 2,025,280 (double) · 3,037,920 · 4,050,560 · 5,063,200 · 6,075,840 · 7,088,480 · 8,101,120 · 9,113,760 · 10,126,400

Sums & aliquot sequence

As a sum of two squares: 68² + 1,004² = 548² + 844²

As consecutive integers: 202,526 + 202,527 + 202,528 + 202,529 + 202,530 15,791 + 15,792 + … + 15,854 3,005 + 3,006 + … + 3,324

Aliquot sequence: 1,012,640 → 1,380,100 → 1,703,904 → 2,769,096 → 5,240,184 → 8,313,816 → 17,813,544 → 33,082,776 → 59,768,424 → 102,104,586 → 123,830,838 → 144,469,350 → 272,297,130 → 476,410,710 → 683,084,202 → 683,084,214 → 821,399,130 — unresolved within range

Continued fraction of √n

√1,012,640 = [1006; (3, 3, 64, 1, 1, 1, 1, 1, 5, 1, 5, 1, 1, 12, 25, 2, 1, 1, 9, 1, 15, 3, 13, 503, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million twelve thousand six hundred forty
Ordinal: 1012640th
Binary: 11110111001110100000
Octal: 3671640
Hexadecimal: 0xF73A0
Base64: D3Og
One's complement: 4,293,954,655 (32-bit)
Scientific notation: 1.01264 × 10⁶
As a duration: 1,012,640 s = 11 days, 17 hours, 17 minutes, 20 seconds

In other bases

ternary (3) 1220110002012

quaternary (4) 3313032200

quinary (5) 224401030

senary (6) 33412052

septenary (7) 11415206

nonary (9) 1813065

undecimal (11) 6318a2

duodecimal (12) 40a028

tridecimal (13) 295bc5

tetradecimal (14) 1c5076

pentadecimal (15) 150095

As an angle

1,012,640° = 2,812 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬二千六百四十
Chinese (financial): 壹佰零壹萬貳仟陸佰肆拾

In other modern scripts

Eastern Arabic ١٠١٢٦٤٠ Devanagari १०१२६४० Bengali ১০১২৬৪০ Tamil ௧௦௧௨௬௪௦ Thai ๑๐๑๒๖๔๐ Tibetan ༡༠༡༢༦༤༠ Khmer ១០១២៦៤០ Lao ໑໐໑໒໖໔໐ Burmese ၁၀၁၂၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012640, here are decompositions:

3 + 1012637 = 1012640
7 + 1012633 = 1012640
43 + 1012597 = 1012640
67 + 1012573 = 1012640
127 + 1012513 = 1012640
151 + 1012489 = 1012640
193 + 1012447 = 1012640
229 + 1012411 = 1012640

Showing the first eight; more decompositions exist.

Hex color

#0F73A0

RGB(15, 115, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.115.160.

Address: 0.15.115.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.115.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 2640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

2640-10-01 (MMDYYYY (US, single-digit day))
2640-01-10 (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 1,012,640 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 US1,012,640 on Google Patents ↗ Look up on USPTO ↗