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970,080

970,080 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.).

970,080 (nine hundred seventy thousand eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 43 × 47. Its proper divisors sum to 2,223,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xECD60.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
80,079
Square (n²)
941,055,206,400
Cube (n³)
912,898,834,624,512,000
Divisor count
96
σ(n) — sum of divisors
3,193,344
φ(n) — Euler's totient
247,296
Sum of prime factors
108

Primality

Prime factorization: 2 5 × 3 × 5 × 43 × 47

Nearest primes: 970,069 (−11) · 970,087 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 43 · 47 · 48 · 60 · 80 · 86 · 94 · 96 · 120 · 129 · 141 · 160 · 172 · 188 · 215 · 235 · 240 · 258 · 282 · 344 · 376 · 430 · 470 · 480 · 516 · 564 · 645 · 688 · 705 · 752 · 860 · 940 · 1032 · 1128 · 1290 · 1376 · 1410 · 1504 · 1720 · 1880 · 2021 · 2064 · 2256 · 2580 · 2820 · 3440 · 3760 · 4042 · 4128 · 4512 · 5160 · 5640 · 6063 · 6880 · 7520 · 8084 · 10105 · 10320 · 11280 · 12126 · 16168 · 20210 · 20640 · 22560 · 24252 · 30315 · 32336 · 40420 · 48504 · 60630 · 64672 · 80840 · 97008 · 121260 · 161680 · 194016 · 242520 · 323360 · 485040 (half) · 970080
Aliquot sum (sum of proper divisors): 2,223,264
Factor pairs (a × b = 970,080)
1 × 970080
2 × 485040
3 × 323360
4 × 242520
5 × 194016
6 × 161680
8 × 121260
10 × 97008
12 × 80840
15 × 64672
16 × 60630
20 × 48504
24 × 40420
30 × 32336
32 × 30315
40 × 24252
43 × 22560
47 × 20640
48 × 20210
60 × 16168
80 × 12126
86 × 11280
94 × 10320
96 × 10105
120 × 8084
129 × 7520
141 × 6880
160 × 6063
172 × 5640
188 × 5160
215 × 4512
235 × 4128
240 × 4042
258 × 3760
282 × 3440
344 × 2820
376 × 2580
430 × 2256
470 × 2064
480 × 2021
516 × 1880
564 × 1720
645 × 1504
688 × 1410
705 × 1376
752 × 1290
860 × 1128
940 × 1032
First multiples
970,080 · 1,940,160 (double) · 2,910,240 · 3,880,320 · 4,850,400 · 5,820,480 · 6,790,560 · 7,760,640 · 8,730,720 · 9,700,800

Sums & aliquot sequence

As consecutive integers: 323,359 + 323,360 + 323,361 194,014 + 194,015 + 194,016 + 194,017 + 194,018 64,665 + 64,666 + … + 64,679 22,539 + 22,540 + … + 22,581
Aliquot sequence: 970,080 2,223,264 3,613,056 6,084,084 8,602,476 12,651,204 16,868,300 21,920,884 17,333,100 36,999,360 94,948,560 269,492,400 689,739,360 1,482,941,136 2,441,432,688 3,878,508,048 6,153,641,520 — unresolved within range

Continued fraction of √n

√970,080 = [984; (1, 12, 1, 1, 2, 2, 2, 1, 1, 12, 1, 1968)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy thousand eighty
Ordinal
970080th
Binary
11101100110101100000
Octal
3546540
Hexadecimal
0xECD60
Base64
Ds1g
One's complement
4,293,997,215 (32-bit)
Scientific notation
9.7008 × 10⁵
As a duration
970,080 s = 11 days, 5 hours, 28 minutes
In other bases
ternary (3) 1211021200220
quaternary (4) 3230311200
quinary (5) 222020310
senary (6) 32443040
septenary (7) 11150136
nonary (9) 1737626
undecimal (11) 602921
duodecimal (12) 3a9480
tridecimal (13) 27c717
tetradecimal (14) 1b3756
pentadecimal (15) 142670

As an angle

970,080° = 2,694 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ϡοπʹ
Chinese
九十七萬零八十
Chinese (financial)
玖拾柒萬零捌拾
In other modern scripts
Eastern Arabic ٩٧٠٠٨٠ Devanagari ९७००८० Bengali ৯৭০০৮০ Tamil ௯௭௦௦௮௦ Thai ๙๗๐๐๘๐ Tibetan ༩༧༠༠༨༠ Khmer ៩៧០០៨០ Lao ໙໗໐໐໘໐ Burmese ၉၇၀၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 970080, here are decompositions:

  • 11 + 970069 = 970080
  • 17 + 970063 = 970080
  • 19 + 970061 = 970080
  • 29 + 970051 = 970080
  • 37 + 970043 = 970080
  • 53 + 970027 = 970080
  • 103 + 969977 = 970080
  • 151 + 969929 = 970080

Showing the first eight; more decompositions exist.

Hex color
#0ECD60
RGB(14, 205, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.205.96.

Address
0.14.205.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.205.96

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 970,080 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 970080 first appears in π at position 552,446 of the decimal expansion (the 552,446ordinal-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°.