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960,480

960,480 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.).

960,480 (nine hundred sixty thousand four hundred eighty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 23 × 29. Its proper divisors sum to 2,577,600, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEA7E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
84,069
Square (n²)
922,521,830,400
Cube (n³)
886,063,767,662,592,000
Divisor count
144
σ(n) — sum of divisors
3,538,080
φ(n) — Euler's totient
236,544
Sum of prime factors
73

Primality

Prime factorization: 2 5 × 3 2 × 5 × 23 × 29

Nearest primes: 960,467 (−13) · 960,493 (+13)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 23 · 24 · 29 · 30 · 32 · 36 · 40 · 45 · 46 · 48 · 58 · 60 · 69 · 72 · 80 · 87 · 90 · 92 · 96 · 115 · 116 · 120 · 138 · 144 · 145 · 160 · 174 · 180 · 184 · 207 · 230 · 232 · 240 · 261 · 276 · 288 · 290 · 345 · 348 · 360 · 368 · 414 · 435 · 460 · 464 · 480 · 522 · 552 · 580 · 667 · 690 · 696 · 720 · 736 · 828 · 870 · 920 · 928 · 1035 · 1044 · 1104 · 1160 · 1305 · 1334 · 1380 · 1392 · 1440 · 1656 · 1740 · 1840 · 2001 · 2070 · 2088 · 2208 · 2320 · 2610 · 2668 · 2760 · 2784 · 3312 · 3335 · 3480 · 3680 · 4002 · 4140 · 4176 · 4640 · 5220 · 5336 · 5520 · 6003 · 6624 · 6670 · 6960 · 8004 · 8280 · 8352 · 10005 · 10440 · 10672 · 11040 · 12006 · 13340 · 13920 · 16008 · 16560 · 20010 · 20880 · 21344 · 24012 · 26680 · 30015 · 32016 · 33120 · 40020 · 41760 · 48024 · 53360 · 60030 · 64032 · 80040 · 96048 · 106720 · 120060 · 160080 · 192096 · 240120 · 320160 · 480240 (half) · 960480
Aliquot sum (sum of proper divisors): 2,577,600
Factor pairs (a × b = 960,480)
1 × 960480
2 × 480240
3 × 320160
4 × 240120
5 × 192096
6 × 160080
8 × 120060
9 × 106720
10 × 96048
12 × 80040
15 × 64032
16 × 60030
18 × 53360
20 × 48024
23 × 41760
24 × 40020
29 × 33120
30 × 32016
32 × 30015
36 × 26680
40 × 24012
45 × 21344
46 × 20880
48 × 20010
58 × 16560
60 × 16008
69 × 13920
72 × 13340
80 × 12006
87 × 11040
90 × 10672
92 × 10440
96 × 10005
115 × 8352
116 × 8280
120 × 8004
138 × 6960
144 × 6670
145 × 6624
160 × 6003
174 × 5520
180 × 5336
184 × 5220
207 × 4640
230 × 4176
232 × 4140
240 × 4002
261 × 3680
276 × 3480
288 × 3335
290 × 3312
345 × 2784
348 × 2760
360 × 2668
368 × 2610
414 × 2320
435 × 2208
460 × 2088
464 × 2070
480 × 2001
522 × 1840
552 × 1740
580 × 1656
667 × 1440
690 × 1392
696 × 1380
720 × 1334
736 × 1305
828 × 1160
870 × 1104
920 × 1044
928 × 1035
First multiples
960,480 · 1,920,960 (double) · 2,881,440 · 3,841,920 · 4,802,400 · 5,762,880 · 6,723,360 · 7,683,840 · 8,644,320 · 9,604,800

Sums & aliquot sequence

As consecutive integers: 320,159 + 320,160 + 320,161 192,094 + 192,095 + 192,096 + 192,097 + 192,098 106,716 + 106,717 + … + 106,724 64,025 + 64,026 + … + 64,039
Aliquot sequence: 960,480 2,577,600 6,634,980 15,903,900 35,280,324 55,237,740 99,779,220 203,788,044 341,646,300 729,227,868 974,750,772 1,342,582,764 1,792,689,684 2,390,252,940 4,864,344,228 7,636,859,214 7,637,803,266 — unresolved within range

Continued fraction of √n

√960,480 = [980; (24, 1, 1, 489, 1, 1, 24, 1960)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
nine hundred sixty thousand four hundred eighty
Ordinal
960480th
Binary
11101010011111100000
Octal
3523740
Hexadecimal
0xEA7E0
Base64
Dqfg
One's complement
4,294,006,815 (32-bit)
Scientific notation
9.6048 × 10⁵
As a duration
960,480 s = 11 days, 2 hours, 48 minutes
In other bases
ternary (3) 1210210112100
quaternary (4) 3222133200
quinary (5) 221213410
senary (6) 32330400
septenary (7) 11110143
nonary (9) 1723470
undecimal (11) 5a6694
duodecimal (12) 3a3a00
tridecimal (13) 278241
tetradecimal (14) 1b005a
pentadecimal (15) 13e8c0

As an angle

960,480° = 2,668 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡξυπʹ
Chinese
九十六萬零四百八十
Chinese (financial)
玖拾陸萬零肆佰捌拾
In other modern scripts
Eastern Arabic ٩٦٠٤٨٠ Devanagari ९६०४८० Bengali ৯৬০৪৮০ Tamil ௯௬௦௪௮௦ Thai ๙๖๐๔๘๐ Tibetan ༩༦༠༤༨༠ Khmer ៩៦០៤៨០ Lao ໙໖໐໔໘໐ Burmese ၉၆၀၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 960480, here are decompositions:

  • 13 + 960467 = 960480
  • 61 + 960419 = 960480
  • 97 + 960383 = 960480
  • 107 + 960373 = 960480
  • 127 + 960353 = 960480
  • 139 + 960341 = 960480
  • 149 + 960331 = 960480
  • 151 + 960329 = 960480

Showing the first eight; more decompositions exist.

Hex color
#0EA7E0
RGB(14, 167, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.167.224.

Address
0.14.167.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.167.224

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 960,480 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 960480 first appears in π at position 709,594 of the decimal expansion (the 709,594ordinal-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°.