Live analysis

1,010,640

1,010,640 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.).

1,010,640 (one million ten thousand six hundred forty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 4,211. Its proper divisors sum to 2,123,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6BD0.

Abundant Number Evil Number Gapful Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,010,628 1,010,629 1,010,630 1,010,631 1,010,632 1,010,633 1,010,634 1,010,635 1,010,636 1,010,637 1,010,638 1,010,639 1,010,640 1,010,641 1,010,642 1,010,643 1,010,644 1,010,645 1,010,646 1,010,647 1,010,648 1,010,649 1,010,650 1,010,651 1,010,652

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 460,101
Square (n²): 1,021,393,209,600
Cube (n³): 1,032,260,833,350,144,000
Divisor count: 40
σ(n) — sum of divisors: 3,133,728
φ(n) — Euler's totient: 269,440
Sum of prime factors: 4,227

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 4211

Nearest primes: 1,010,627 (−13) · 1,010,671 (+31)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 4211 · 8422 · 12633 · 16844 · 21055 · 25266 · 33688 · 42110 · 50532 · 63165 · 67376 · 84220 · 101064 · 126330 · 168440 · 202128 · 252660 · 336880 · 505320 (half) · 1010640

Aliquot sum (sum of proper divisors): 2,123,088

Factor pairs (a × b = 1,010,640)

1 × 1010640

2 × 505320

3 × 336880

4 × 252660

5 × 202128

6 × 168440

8 × 126330

10 × 101064

12 × 84220

15 × 67376

16 × 63165

20 × 50532

24 × 42110

30 × 33688

40 × 25266

48 × 21055

60 × 16844

80 × 12633

120 × 8422

240 × 4211

First multiples

1,010,640 · 2,021,280 (double) · 3,031,920 · 4,042,560 · 5,053,200 · 6,063,840 · 7,074,480 · 8,085,120 · 9,095,760 · 10,106,400

Sums & aliquot sequence

As consecutive integers: 336,879 + 336,880 + 336,881 202,126 + 202,127 + 202,128 + 202,129 + 202,130 67,369 + 67,370 + … + 67,383 31,567 + 31,568 + … + 31,598

Aliquot sequence: 1,010,640 → 2,123,088 → 3,861,648 → 8,816,112 → 15,857,160 → 37,486,200 → 78,722,880 → 171,225,312 → 288,704,928 → 471,347,232 → 789,297,888 → 1,351,210,272 → 2,216,263,008 → 3,604,873,488 → 5,707,716,480 → 14,001,761,880 — keeps growing

Continued fraction of √n

√1,010,640 = [1005; (3, 3, 1, 2, 1, 1, 2, 1, 3, 1, 1, 4, 1, 1, 1, 30, 1, 3, 2, 1, 4, 2, 1, 7, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand six hundred forty
Ordinal: 1010640th
Binary: 11110110101111010000
Octal: 3665720
Hexadecimal: 0xF6BD0
Base64: D2vQ
One's complement: 4,293,956,655 (32-bit)
Scientific notation: 1.01064 × 10⁶
As a duration: 1,010,640 s = 11 days, 16 hours, 44 minutes

In other bases

ternary (3) 1220100100010

quaternary (4) 3312233100

quinary (5) 224320030

senary (6) 33354520

septenary (7) 11406321

nonary (9) 1810303

undecimal (11) 630344

duodecimal (12) 408a40

tridecimal (13) 295017

tetradecimal (14) 1c4448

pentadecimal (15) 14e6b0

As an angle

1,010,640° = 2,807 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese: 一百零一萬零六百四十
Chinese (financial): 壹佰零壹萬零陸佰肆拾

In other modern scripts

Eastern Arabic ١٠١٠٦٤٠ Devanagari १०१०६४० Bengali ১০১০৬৪০ Tamil ௧௦௧௦௬௪௦ Thai ๑๐๑๐๖๔๐ Tibetan ༡༠༡༠༦༤༠ Khmer ១០១០៦៤០ Lao ໑໐໑໐໖໔໐ Burmese ၁၀၁၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010640, here are decompositions:

13 + 1010627 = 1010640
17 + 1010623 = 1010640
23 + 1010617 = 1010640
61 + 1010579 = 1010640
73 + 1010567 = 1010640
131 + 1010509 = 1010640
139 + 1010501 = 1010640
149 + 1010491 = 1010640

Showing the first eight; more decompositions exist.

Hex color

#0F6BD0

RGB(15, 107, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.107.208.

Address: 0.15.107.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.107.208

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 0640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0640-10-01 (MMDYYYY (US, single-digit day))
0640-01-10 (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 1,010,640 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 US1,010,640 on Google Patents ↗ Look up on USPTO ↗