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1,023,960

1,023,960 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.).

1,023,960 (one million twenty-three thousand nine hundred sixty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 23 × 53. Its proper divisors sum to 2,708,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9FD8.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
693,201
Square (n²)
1,048,494,081,600
Cube (n³)
1,073,615,999,795,136,000
Divisor count
128
σ(n) — sum of divisors
3,732,480
φ(n) — Euler's totient
219,648
Sum of prime factors
97

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 23 × 53

Nearest primes: 1,023,949 (−11) · 1,023,973 (+13)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 23 · 24 · 28 · 30 · 35 · 40 · 42 · 46 · 53 · 56 · 60 · 69 · 70 · 84 · 92 · 105 · 106 · 115 · 120 · 138 · 140 · 159 · 161 · 168 · 184 · 210 · 212 · 230 · 265 · 276 · 280 · 318 · 322 · 345 · 371 · 420 · 424 · 460 · 483 · 530 · 552 · 636 · 644 · 690 · 742 · 795 · 805 · 840 · 920 · 966 · 1060 · 1113 · 1219 · 1272 · 1288 · 1380 · 1484 · 1590 · 1610 · 1855 · 1932 · 2120 · 2226 · 2415 · 2438 · 2760 · 2968 · 3180 · 3220 · 3657 · 3710 · 3864 · 4452 · 4830 · 4876 · 5565 · 6095 · 6360 · 6440 · 7314 · 7420 · 8533 · 8904 · 9660 · 9752 · 11130 · 12190 · 14628 · 14840 · 17066 · 18285 · 19320 · 22260 · 24380 · 25599 · 29256 · 34132 · 36570 · 42665 · 44520 · 48760 · 51198 · 68264 · 73140 · 85330 · 102396 · 127995 · 146280 · 170660 · 204792 · 255990 · 341320 · 511980 (half) · 1023960
Aliquot sum (sum of proper divisors): 2,708,520
Factor pairs (a × b = 1,023,960)
1 × 1023960
2 × 511980
3 × 341320
4 × 255990
5 × 204792
6 × 170660
7 × 146280
8 × 127995
10 × 102396
12 × 85330
14 × 73140
15 × 68264
20 × 51198
21 × 48760
23 × 44520
24 × 42665
28 × 36570
30 × 34132
35 × 29256
40 × 25599
42 × 24380
46 × 22260
53 × 19320
56 × 18285
60 × 17066
69 × 14840
70 × 14628
84 × 12190
92 × 11130
105 × 9752
106 × 9660
115 × 8904
120 × 8533
138 × 7420
140 × 7314
159 × 6440
161 × 6360
168 × 6095
184 × 5565
210 × 4876
212 × 4830
230 × 4452
265 × 3864
276 × 3710
280 × 3657
318 × 3220
322 × 3180
345 × 2968
371 × 2760
420 × 2438
424 × 2415
460 × 2226
483 × 2120
530 × 1932
552 × 1855
636 × 1610
644 × 1590
690 × 1484
742 × 1380
795 × 1288
805 × 1272
840 × 1219
920 × 1113
966 × 1060
First multiples
1,023,960 · 2,047,920 (double) · 3,071,880 · 4,095,840 · 5,119,800 · 6,143,760 · 7,167,720 · 8,191,680 · 9,215,640 · 10,239,600

Sums & aliquot sequence

As consecutive integers: 341,319 + 341,320 + 341,321 204,790 + 204,791 + 204,792 + 204,793 + 204,794 146,277 + 146,278 + … + 146,283 68,257 + 68,258 + … + 68,271
Aliquot sequence: 1,023,960 2,708,520 5,417,400 11,378,400 29,119,008 47,318,640 99,369,888 163,264,512 272,017,608 408,772,152 728,247,888 1,362,094,512 2,156,649,768 5,105,587,032 12,516,940,968 — keeps growing

Continued fraction of √n

√1,023,960 = [1011; (1, 9, 1, 2022)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one million twenty-three thousand nine hundred sixty
Ordinal
1023960th
Binary
11111001111111011000
Octal
3717730
Hexadecimal
0xF9FD8
Base64
D5/Y
One's complement
4,293,943,335 (32-bit)
Scientific notation
1.02396 × 10⁶
As a duration
1,023,960 s = 11 days, 20 hours, 26 minutes
In other bases
ternary (3) 1221000121110
quaternary (4) 3321333120
quinary (5) 230231320
senary (6) 33540320
septenary (7) 11463210
nonary (9) 1830543
undecimal (11) 63a353
duodecimal (12) 4146a0
tridecimal (13) 29b0c2
tetradecimal (14) 1c9240
pentadecimal (15) 1535e0

As an angle

1,023,960° = 2,844 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零二萬三千九百六十
Chinese (financial)
壹佰零貳萬參仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٠٢٣٩٦٠ Devanagari १०२३९६० Bengali ১০২৩৯৬০ Tamil ௧௦௨௩௯௬௦ Thai ๑๐๒๓๙๖๐ Tibetan ༡༠༢༣༩༦༠ Khmer ១០២៣៩៦០ Lao ໑໐໒໓໙໖໐ Burmese ၁၀၂၃၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1023960, here are decompositions:

  • 11 + 1023949 = 1023960
  • 13 + 1023947 = 1023960
  • 17 + 1023943 = 1023960
  • 19 + 1023941 = 1023960
  • 89 + 1023871 = 1023960
  • 103 + 1023857 = 1023960
  • 109 + 1023851 = 1023960
  • 127 + 1023833 = 1023960

Showing the first eight; more decompositions exist.

Hex color
#0F9FD8
RGB(15, 159, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.159.216.

Address
0.15.159.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.159.216

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 2, 3960 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3960-02-01 (DMMYYYY (Euro, single-digit day))
  • 3960-10-02 (MMDYYYY (US, single-digit day))
  • 3960-02-10 (DDMYYYY (Euro, single-digit month))
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 1,023,960 and was likely granted around 1912.

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°.