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970,920

970,920 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.).

970,920 (nine hundred seventy thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3³ × 5 × 29 × 31. Its proper divisors sum to 2,485,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED0A8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical 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
29,079
Square (n²)
942,685,646,400
Cube (n³)
915,272,347,802,688,000
Divisor count
128
σ(n) — sum of divisors
3,456,000
φ(n) — Euler's totient
241,920
Sum of prime factors
80

Primality

Prime factorization: 2 3 × 3 3 × 5 × 29 × 31

Nearest primes: 970,909 (−11) · 970,927 (+7)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 24 · 27 · 29 · 30 · 31 · 36 · 40 · 45 · 54 · 58 · 60 · 62 · 72 · 87 · 90 · 93 · 108 · 116 · 120 · 124 · 135 · 145 · 155 · 174 · 180 · 186 · 216 · 232 · 248 · 261 · 270 · 279 · 290 · 310 · 348 · 360 · 372 · 435 · 465 · 522 · 540 · 558 · 580 · 620 · 696 · 744 · 783 · 837 · 870 · 899 · 930 · 1044 · 1080 · 1116 · 1160 · 1240 · 1305 · 1395 · 1566 · 1674 · 1740 · 1798 · 1860 · 2088 · 2232 · 2610 · 2697 · 2790 · 3132 · 3348 · 3480 · 3596 · 3720 · 3915 · 4185 · 4495 · 5220 · 5394 · 5580 · 6264 · 6696 · 7192 · 7830 · 8091 · 8370 · 8990 · 10440 · 10788 · 11160 · 13485 · 15660 · 16182 · 16740 · 17980 · 21576 · 24273 · 26970 · 31320 · 32364 · 33480 · 35960 · 40455 · 48546 · 53940 · 64728 · 80910 · 97092 · 107880 · 121365 · 161820 · 194184 · 242730 · 323640 · 485460 (half) · 970920
Aliquot sum (sum of proper divisors): 2,485,080
Factor pairs (a × b = 970,920)
1 × 970920
2 × 485460
3 × 323640
4 × 242730
5 × 194184
6 × 161820
8 × 121365
9 × 107880
10 × 97092
12 × 80910
15 × 64728
18 × 53940
20 × 48546
24 × 40455
27 × 35960
29 × 33480
30 × 32364
31 × 31320
36 × 26970
40 × 24273
45 × 21576
54 × 17980
58 × 16740
60 × 16182
62 × 15660
72 × 13485
87 × 11160
90 × 10788
93 × 10440
108 × 8990
116 × 8370
120 × 8091
124 × 7830
135 × 7192
145 × 6696
155 × 6264
174 × 5580
180 × 5394
186 × 5220
216 × 4495
232 × 4185
248 × 3915
261 × 3720
270 × 3596
279 × 3480
290 × 3348
310 × 3132
348 × 2790
360 × 2697
372 × 2610
435 × 2232
465 × 2088
522 × 1860
540 × 1798
558 × 1740
580 × 1674
620 × 1566
696 × 1395
744 × 1305
783 × 1240
837 × 1160
870 × 1116
899 × 1080
930 × 1044
First multiples
970,920 · 1,941,840 (double) · 2,912,760 · 3,883,680 · 4,854,600 · 5,825,520 · 6,796,440 · 7,767,360 · 8,738,280 · 9,709,200

Sums & aliquot sequence

As consecutive integers: 323,639 + 323,640 + 323,641 194,182 + 194,183 + 194,184 + 194,185 + 194,186 107,876 + 107,877 + … + 107,884 64,721 + 64,722 + … + 64,735
Aliquot sequence: 970,920 2,485,080 6,662,520 16,377,480 45,997,560 124,859,880 300,503,520 789,225,120 2,063,882,592 4,022,682,984 6,872,083,626 6,879,796,278 6,879,796,290 11,477,870,910 — keeps growing

Continued fraction of √n

√970,920 = [985; (2, 1, 5, 16, 9, 16, 5, 1, 2, 1970)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
nine hundred seventy thousand nine hundred twenty
Ordinal
970920th
Binary
11101101000010101000
Octal
3550250
Hexadecimal
0xED0A8
Base64
DtCo
One's complement
4,293,996,375 (32-bit)
Scientific notation
9.7092 × 10⁵
As a duration
970,920 s = 11 days, 5 hours, 42 minutes
In other bases
ternary (3) 1211022212000
quaternary (4) 3231002220
quinary (5) 222032140
senary (6) 32451000
septenary (7) 11152446
nonary (9) 1738760
undecimal (11) 603515
duodecimal (12) 3a9a60
tridecimal (13) 27cc12
tetradecimal (14) 1b3b96
pentadecimal (15) 142a30

As an angle

970,920° = 2,697 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ϡοϡκʹ
Chinese
九十七萬零九百二十
Chinese (financial)
玖拾柒萬零玖佰貳拾
In other modern scripts
Eastern Arabic ٩٧٠٩٢٠ Devanagari ९७०९२० Bengali ৯৭০৯২০ Tamil ௯௭௦௯௨௦ Thai ๙๗๐๙๒๐ Tibetan ༩༧༠༩༢༠ Khmer ៩៧០៩២០ Lao ໙໗໐໙໒໐ Burmese ၉၇၀၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 970920, here are decompositions:

  • 11 + 970909 = 970920
  • 17 + 970903 = 970920
  • 37 + 970883 = 970920
  • 43 + 970877 = 970920
  • 53 + 970867 = 970920
  • 59 + 970861 = 970920
  • 61 + 970859 = 970920
  • 73 + 970847 = 970920

Showing the first eight; more decompositions exist.

Hex color
#0ED0A8
RGB(14, 208, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.14.208.168.

Address
0.14.208.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.14.208.168

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 970,920 and was likely granted around 1910.

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

Related reading

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