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1,006,960

1,006,960 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.).

1,006,960 (one million six thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 41 × 307. Its proper divisors sum to 1,399,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5D70.

Abundant Number Evil Number Flippable Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
696,001
Flips to (rotate 180°)
969,001
Square (n²)
1,013,968,441,600
Cube (n³)
1,021,025,661,953,536,000
Divisor count
40
σ(n) — sum of divisors
2,406,096
φ(n) — Euler's totient
391,680
Sum of prime factors
361

Primality

Prime factorization: 2 4 × 5 × 41 × 307

Nearest primes: 1,006,949 (−11) · 1,006,969 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 41 · 80 · 82 · 164 · 205 · 307 · 328 · 410 · 614 · 656 · 820 · 1228 · 1535 · 1640 · 2456 · 3070 · 3280 · 4912 · 6140 · 12280 · 12587 · 24560 · 25174 · 50348 · 62935 · 100696 · 125870 · 201392 · 251740 · 503480 (half) · 1006960
Aliquot sum (sum of proper divisors): 1,399,136
Factor pairs (a × b = 1,006,960)
1 × 1006960
2 × 503480
4 × 251740
5 × 201392
8 × 125870
10 × 100696
16 × 62935
20 × 50348
40 × 25174
41 × 24560
80 × 12587
82 × 12280
164 × 6140
205 × 4912
307 × 3280
328 × 3070
410 × 2456
614 × 1640
656 × 1535
820 × 1228
First multiples
1,006,960 · 2,013,920 (double) · 3,020,880 · 4,027,840 · 5,034,800 · 6,041,760 · 7,048,720 · 8,055,680 · 9,062,640 · 10,069,600

Sums & aliquot sequence

As consecutive integers: 201,390 + 201,391 + 201,392 + 201,393 + 201,394 31,452 + 31,453 + … + 31,483 24,540 + 24,541 + … + 24,580 6,214 + 6,215 + … + 6,373
Aliquot sequence: 1,006,960 1,399,136 1,476,688 1,636,952 1,475,488 1,907,234 1,419,166 1,032,290 1,091,422 545,714 348,046 179,498 122,902 83,738 43,162 30,854 15,430 — unresolved within range

Continued fraction of √n

√1,006,960 = [1003; (2, 9, 9, 1, 2, 1, 2, 1, 6, 2, 5, 1, 4, 1, 2, 1, 11, 1, 7, 1, 1, 2, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one million six thousand nine hundred sixty
Ordinal
1006960th
Binary
11110101110101110000
Octal
3656560
Hexadecimal
0xF5D70
Base64
D11w
One's complement
4,293,960,335 (32-bit)
Scientific notation
1.00696 × 10⁶
As a duration
1,006,960 s = 11 days, 15 hours, 42 minutes, 40 seconds
In other bases
ternary (3) 1220011021211
quaternary (4) 3311311300
quinary (5) 224210320
senary (6) 33325504
septenary (7) 11362513
nonary (9) 1804254
undecimal (11) 6285a9
duodecimal (12) 406894
tridecimal (13) 293446
tetradecimal (14) 1c2d7a
pentadecimal (15) 14d55a

As an angle

1,006,960° = 2,797 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百萬六千九百六十
Chinese (financial)
壹佰萬陸仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠٠٦٩٦٠ Devanagari १००६९६० Bengali ১০০৬৯৬০ Tamil ௧௦௦௬௯௬௦ Thai ๑๐๐๖๙๖๐ Tibetan ༡༠༠༦༩༦༠ Khmer ១០០៦៩៦០ Lao ໑໐໐໖໙໖໐ Burmese ၁၀၀၆၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006960, here are decompositions:

  • 11 + 1006949 = 1006960
  • 23 + 1006937 = 1006960
  • 83 + 1006877 = 1006960
  • 107 + 1006853 = 1006960
  • 113 + 1006847 = 1006960
  • 179 + 1006781 = 1006960
  • 191 + 1006769 = 1006960
  • 239 + 1006721 = 1006960

Showing the first eight; more decompositions exist.

Hex color
#0F5D70
RGB(15, 93, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.112.

Address
0.15.93.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.93.112

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

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 1,006,960 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.