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960,120

960,120 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.).

960,120 (nine hundred sixty thousand one hundred twenty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 7 × 127. Its proper divisors sum to 2,726,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEA678.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
21,069
Square (n²)
921,830,414,400
Cube (n³)
885,067,817,473,728,000
Divisor count
128
σ(n) — sum of divisors
3,686,400
φ(n) — Euler's totient
217,728
Sum of prime factors
154

Primality

Prime factorization: 2 3 × 3 3 × 5 × 7 × 127

Nearest primes: 960,119 (−1) · 960,121 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 27 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 54 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 105 · 108 · 120 · 126 · 127 · 135 · 140 · 168 · 180 · 189 · 210 · 216 · 252 · 254 · 270 · 280 · 315 · 360 · 378 · 381 · 420 · 504 · 508 · 540 · 630 · 635 · 756 · 762 · 840 · 889 · 945 · 1016 · 1080 · 1143 · 1260 · 1270 · 1512 · 1524 · 1778 · 1890 · 1905 · 2286 · 2520 · 2540 · 2667 · 3048 · 3429 · 3556 · 3780 · 3810 · 4445 · 4572 · 5080 · 5334 · 5715 · 6858 · 7112 · 7560 · 7620 · 8001 · 8890 · 9144 · 10668 · 11430 · 13335 · 13716 · 15240 · 16002 · 17145 · 17780 · 21336 · 22860 · 24003 · 26670 · 27432 · 32004 · 34290 · 35560 · 40005 · 45720 · 48006 · 53340 · 64008 · 68580 · 80010 · 96012 · 106680 · 120015 · 137160 · 160020 · 192024 · 240030 · 320040 · 480060 (half) · 960120
Aliquot sum (sum of proper divisors): 2,726,280
Factor pairs (a × b = 960,120)
1 × 960120
2 × 480060
3 × 320040
4 × 240030
5 × 192024
6 × 160020
7 × 137160
8 × 120015
9 × 106680
10 × 96012
12 × 80010
14 × 68580
15 × 64008
18 × 53340
20 × 48006
21 × 45720
24 × 40005
27 × 35560
28 × 34290
30 × 32004
35 × 27432
36 × 26670
40 × 24003
42 × 22860
45 × 21336
54 × 17780
56 × 17145
60 × 16002
63 × 15240
70 × 13716
72 × 13335
84 × 11430
90 × 10668
105 × 9144
108 × 8890
120 × 8001
126 × 7620
127 × 7560
135 × 7112
140 × 6858
168 × 5715
180 × 5334
189 × 5080
210 × 4572
216 × 4445
252 × 3810
254 × 3780
270 × 3556
280 × 3429
315 × 3048
360 × 2667
378 × 2540
381 × 2520
420 × 2286
504 × 1905
508 × 1890
540 × 1778
630 × 1524
635 × 1512
756 × 1270
762 × 1260
840 × 1143
889 × 1080
945 × 1016
First multiples
960,120 · 1,920,240 (double) · 2,880,360 · 3,840,480 · 4,800,600 · 5,760,720 · 6,720,840 · 7,680,960 · 8,641,080 · 9,601,200

Sums & aliquot sequence

As consecutive integers: 320,039 + 320,040 + 320,041 192,022 + 192,023 + 192,024 + 192,025 + 192,026 137,157 + 137,158 + … + 137,163 106,676 + 106,677 + … + 106,684
Aliquot sequence: 960,120 2,726,280 6,135,300 14,277,456 25,679,994 25,680,006 37,668,474 43,946,592 75,142,560 168,011,232 280,508,448 530,467,872 1,000,140,816 1,583,556,416 1,800,535,876 1,459,055,144 1,428,242,866 — unresolved within range

Continued fraction of √n

√960,120 = [979; (1, 5, 1, 1958)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty thousand one hundred twenty
Ordinal
960120th
Binary
11101010011001111000
Octal
3523170
Hexadecimal
0xEA678
Base64
DqZ4
One's complement
4,294,007,175 (32-bit)
Scientific notation
9.6012 × 10⁵
As a duration
960,120 s = 11 days, 2 hours, 42 minutes
In other bases
ternary (3) 1210210001000
quaternary (4) 3222121320
quinary (5) 221210440
senary (6) 32325000
septenary (7) 11106120
nonary (9) 1723030
undecimal (11) 5a6397
duodecimal (12) 3a3760
tridecimal (13) 278025
tetradecimal (14) 1adc80
pentadecimal (15) 13e730

As an angle

960,120° = 2,667 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓎆𓎆
Greek (Milesian)
͵ϡξρκʹ
Chinese
九十六萬零一百二十
Chinese (financial)
玖拾陸萬零壹佰貳拾
In other modern scripts
Eastern Arabic ٩٦٠١٢٠ Devanagari ९६०१२० Bengali ৯৬০১২০ Tamil ௯௬௦௧௨௦ Thai ๙๖๐๑๒๐ Tibetan ༩༦༠༡༢༠ Khmer ៩៦០១២០ Lao ໙໖໐໑໒໐ Burmese ၉၆၀၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960120, here are decompositions:

  • 43 + 960077 = 960120
  • 61 + 960059 = 960120
  • 67 + 960053 = 960120
  • 71 + 960049 = 960120
  • 89 + 960031 = 960120
  • 101 + 960019 = 960120
  • 103 + 960017 = 960120
  • 151 + 959969 = 960120

Showing the first eight; more decompositions exist.

Hex color
#0EA678
RGB(14, 166, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.166.120.

Address
0.14.166.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.166.120

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 960,120 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 960120 first appears in π at position 308,590 of the decimal expansion (the 308,590ordinal-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°.