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960,000

960,000 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.).

960,000 (nine hundred sixty thousand) is an even 6-digit number. It is a composite number with 100 divisors, and factors as 2⁹ × 3 × 5⁴. Its proper divisors sum to 2,235,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEA600.

Abundant Number Flippable Frugal Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
69
Flips to (rotate 180°)
96
Square (n²)
921,600,000,000
Cube (n³)
884,736,000,000,000,000
Divisor count
100
σ(n) — sum of divisors
3,195,852
φ(n) — Euler's totient
256,000
Sum of prime factors
41

Primality

Prime factorization: 2 9 × 3 × 5 4

Nearest primes: 959,969 (−31) · 960,017 (+17)

Divisors & multiples

All divisors (100)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 64 · 75 · 80 · 96 · 100 · 120 · 125 · 128 · 150 · 160 · 192 · 200 · 240 · 250 · 256 · 300 · 320 · 375 · 384 · 400 · 480 · 500 · 512 · 600 · 625 · 640 · 750 · 768 · 800 · 960 · 1000 · 1200 · 1250 · 1280 · 1500 · 1536 · 1600 · 1875 · 1920 · 2000 · 2400 · 2500 · 2560 · 3000 · 3200 · 3750 · 3840 · 4000 · 4800 · 5000 · 6000 · 6400 · 7500 · 7680 · 8000 · 9600 · 10000 · 12000 · 12800 · 15000 · 16000 · 19200 · 20000 · 24000 · 30000 · 32000 · 38400 · 40000 · 48000 · 60000 · 64000 · 80000 · 96000 · 120000 · 160000 · 192000 · 240000 · 320000 · 480000 (half) · 960000
Aliquot sum (sum of proper divisors): 2,235,852
Factor pairs (a × b = 960,000)
1 × 960000
2 × 480000
3 × 320000
4 × 240000
5 × 192000
6 × 160000
8 × 120000
10 × 96000
12 × 80000
15 × 64000
16 × 60000
20 × 48000
24 × 40000
25 × 38400
30 × 32000
32 × 30000
40 × 24000
48 × 20000
50 × 19200
60 × 16000
64 × 15000
75 × 12800
80 × 12000
96 × 10000
100 × 9600
120 × 8000
125 × 7680
128 × 7500
150 × 6400
160 × 6000
192 × 5000
200 × 4800
240 × 4000
250 × 3840
256 × 3750
300 × 3200
320 × 3000
375 × 2560
384 × 2500
400 × 2400
480 × 2000
500 × 1920
512 × 1875
600 × 1600
625 × 1536
640 × 1500
750 × 1280
768 × 1250
800 × 1200
960 × 1000
First multiples
960,000 · 1,920,000 (double) · 2,880,000 · 3,840,000 · 4,800,000 · 5,760,000 · 6,720,000 · 7,680,000 · 8,640,000 · 9,600,000

Sums & aliquot sequence

As consecutive integers: 319,999 + 320,000 + 320,001 191,998 + 191,999 + 192,000 + 192,001 + 192,002 63,993 + 63,994 + … + 64,007 38,388 + 38,389 + … + 38,412
Aliquot sequence: 960,000 2,235,852 3,464,388 5,292,906 6,241,494 8,123,946 8,749,974 9,177,306 9,236,742 9,540,330 13,438,614 17,278,314 17,278,326 24,600,714 24,722,646 28,526,298 28,963,398 — unresolved within range

Continued fraction of √n

√960,000 = [979; (1, 3, 1, 8, 1, 18, 1, 2, 3, 4, 1, 1, 2, 77, 1, 121, 2, 19, 10, 4, 1, 3, 1, 77, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty thousand
Ordinal
960000th
Binary
11101010011000000000
Octal
3523000
Hexadecimal
0xEA600
Base64
DqYA
One's complement
4,294,007,295 (32-bit)
Scientific notation
9.6 × 10⁵
As a duration
960,000 s = 11 days, 2 hours, 40 minutes
In other bases
ternary (3) 1210202212120
quaternary (4) 3222120000
quinary (5) 221210000
senary (6) 32324240
septenary (7) 11105556
nonary (9) 1722776
undecimal (11) 5a6298
duodecimal (12) 3a3680
tridecimal (13) 277c62
tetradecimal (14) 1adbd6
pentadecimal (15) 13e6a0

As an angle

960,000° = 2,666 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍
Greek (Milesian)
͵ϡξ
Chinese
九十六萬
Chinese (financial)
玖拾陸萬
In other modern scripts
Eastern Arabic ٩٦٠٠٠٠ Devanagari ९६०००० Bengali ৯৬০০০০ Tamil ௯௬௦௦௦௦ Thai ๙๖๐๐๐๐ Tibetan ༩༦༠༠༠༠ Khmer ៩៦០០០០ Lao ໙໖໐໐໐໐ Burmese ၉၆၀၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960000, here are decompositions:

  • 31 + 959969 = 960000
  • 47 + 959953 = 960000
  • 53 + 959947 = 960000
  • 59 + 959941 = 960000
  • 73 + 959927 = 960000
  • 79 + 959921 = 960000
  • 89 + 959911 = 960000
  • 113 + 959887 = 960000

Showing the first eight; more decompositions exist.

Hex color
#0EA600
RGB(14, 166, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.166.0.

Address
0.14.166.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.166.0

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 960,000 and was likely granted around 1910.

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

Position in π

The digit sequence 960000 first appears in π at position 254,226 of the decimal expansion (the 254,226ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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