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966,960

966,960 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.).

966,960 (nine hundred sixty-six thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 17 × 79. Its proper divisors sum to 2,514,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEC130.

Abundant Number Arithmetic Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
69,669
Flips to (rotate 180°)
96,996
Square (n²)
935,011,641,600
Cube (n³)
904,118,856,961,536,000
Divisor count
120
σ(n) — sum of divisors
3,481,920
φ(n) — Euler's totient
239,616
Sum of prime factors
115

Primality

Prime factorization: 2 4 × 3 2 × 5 × 17 × 79

Nearest primes: 966,937 (−23) · 966,961 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 17 · 18 · 20 · 24 · 30 · 34 · 36 · 40 · 45 · 48 · 51 · 60 · 68 · 72 · 79 · 80 · 85 · 90 · 102 · 120 · 136 · 144 · 153 · 158 · 170 · 180 · 204 · 237 · 240 · 255 · 272 · 306 · 316 · 340 · 360 · 395 · 408 · 474 · 510 · 612 · 632 · 680 · 711 · 720 · 765 · 790 · 816 · 948 · 1020 · 1185 · 1224 · 1264 · 1343 · 1360 · 1422 · 1530 · 1580 · 1896 · 2040 · 2370 · 2448 · 2686 · 2844 · 3060 · 3160 · 3555 · 3792 · 4029 · 4080 · 4740 · 5372 · 5688 · 6120 · 6320 · 6715 · 7110 · 8058 · 9480 · 10744 · 11376 · 12087 · 12240 · 13430 · 14220 · 16116 · 18960 · 20145 · 21488 · 24174 · 26860 · 28440 · 32232 · 40290 · 48348 · 53720 · 56880 · 60435 · 64464 · 80580 · 96696 · 107440 · 120870 · 161160 · 193392 · 241740 · 322320 · 483480 (half) · 966960
Aliquot sum (sum of proper divisors): 2,514,960
Factor pairs (a × b = 966,960)
1 × 966960
2 × 483480
3 × 322320
4 × 241740
5 × 193392
6 × 161160
8 × 120870
9 × 107440
10 × 96696
12 × 80580
15 × 64464
16 × 60435
17 × 56880
18 × 53720
20 × 48348
24 × 40290
30 × 32232
34 × 28440
36 × 26860
40 × 24174
45 × 21488
48 × 20145
51 × 18960
60 × 16116
68 × 14220
72 × 13430
79 × 12240
80 × 12087
85 × 11376
90 × 10744
102 × 9480
120 × 8058
136 × 7110
144 × 6715
153 × 6320
158 × 6120
170 × 5688
180 × 5372
204 × 4740
237 × 4080
240 × 4029
255 × 3792
272 × 3555
306 × 3160
316 × 3060
340 × 2844
360 × 2686
395 × 2448
408 × 2370
474 × 2040
510 × 1896
612 × 1580
632 × 1530
680 × 1422
711 × 1360
720 × 1343
765 × 1264
790 × 1224
816 × 1185
948 × 1020
First multiples
966,960 · 1,933,920 (double) · 2,900,880 · 3,867,840 · 4,834,800 · 5,801,760 · 6,768,720 · 7,735,680 · 8,702,640 · 9,669,600

Sums & aliquot sequence

As consecutive integers: 322,319 + 322,320 + 322,321 193,390 + 193,391 + 193,392 + 193,393 + 193,394 107,436 + 107,437 + … + 107,444 64,457 + 64,458 + … + 64,471
Aliquot sequence: 966,960 2,514,960 7,157,040 17,055,696 35,512,368 65,314,512 127,235,664 239,407,536 379,062,056 398,544,424 348,726,386 188,928,934 94,464,470 76,082,218 39,613,142 19,863,754 9,951,446 — unresolved within range

Continued fraction of √n

√966,960 = [983; (2, 1, 13, 2, 1, 1, 1, 1, 1, 39, 1, 1, 14, 16, 5, 2, 2, 2, 9, 1, 7, 2, 3, 23, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty-six thousand nine hundred sixty
Ordinal
966960th
Binary
11101100000100110000
Octal
3540460
Hexadecimal
0xEC130
Base64
DsEw
One's complement
4,294,000,335 (32-bit)
Scientific notation
9.6696 × 10⁵
As a duration
966,960 s = 11 days, 4 hours, 36 minutes
In other bases
ternary (3) 1211010102100
quaternary (4) 3230010300
quinary (5) 221420320
senary (6) 32420400
septenary (7) 11135061
nonary (9) 1733370
undecimal (11) 600545
duodecimal (12) 3a7700
tridecimal (13) 27b187
tetradecimal (14) 1b2568
pentadecimal (15) 141790

As an angle

966,960° = 2,686 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡξϛϡξʹ
Chinese
九十六萬六千九百六十
Chinese (financial)
玖拾陸萬陸仟玖佰陸拾
In other modern scripts
Eastern Arabic ٩٦٦٩٦٠ Devanagari ९६६९६० Bengali ৯৬৬৯৬০ Tamil ௯௬௬௯௬௦ Thai ๙๖๖๙๖๐ Tibetan ༩༦༦༩༦༠ Khmer ៩៦៦៩៦០ Lao ໙໖໖໙໖໐ Burmese ၉၆၆၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966960, here are decompositions:

  • 23 + 966937 = 966960
  • 37 + 966923 = 966960
  • 41 + 966919 = 966960
  • 47 + 966913 = 966960
  • 53 + 966907 = 966960
  • 67 + 966893 = 966960
  • 89 + 966871 = 966960
  • 97 + 966863 = 966960

Showing the first eight; more decompositions exist.

Hex color
#0EC130
RGB(14, 193, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.193.48.

Address
0.14.193.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.193.48

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 966,960 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 966960 first appears in π at position 689,493 of the decimal expansion (the 689,493ordinal-suffix:rd 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°.