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1,049,760

1,049,760 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.).

1,049,760 (one million forty-nine thousand seven hundred sixty) is an even 7-digit number. It is a composite number with 108 divisors, and factors as 2⁵ × 3⁸ × 5. Its proper divisors sum to 2,670,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1004A0.

Abundant Number Evil Number Frugal Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
679,401
Square (n²)
1,101,996,057,600
Cube (n³)
1,156,831,381,426,176,000
Divisor count
108
σ(n) — sum of divisors
3,719,898
φ(n) — Euler's totient
279,936
Sum of prime factors
39

Primality

Prime factorization: 2 5 × 3 8 × 5

Nearest primes: 1,049,747 (−13) · 1,049,773 (+13)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 32 · 36 · 40 · 45 · 48 · 54 · 60 · 72 · 80 · 81 · 90 · 96 · 108 · 120 · 135 · 144 · 160 · 162 · 180 · 216 · 240 · 243 · 270 · 288 · 324 · 360 · 405 · 432 · 480 · 486 · 540 · 648 · 720 · 729 · 810 · 864 · 972 · 1080 · 1215 · 1296 · 1440 · 1458 · 1620 · 1944 · 2160 · 2187 · 2430 · 2592 · 2916 · 3240 · 3645 · 3888 · 4320 · 4374 · 4860 · 5832 · 6480 · 6561 · 7290 · 7776 · 8748 · 9720 · 10935 · 11664 · 12960 · 13122 · 14580 · 17496 · 19440 · 21870 · 23328 · 26244 · 29160 · 32805 · 34992 · 38880 · 43740 · 52488 · 58320 · 65610 · 69984 · 87480 · 104976 · 116640 · 131220 · 174960 · 209952 · 262440 · 349920 · 524880 (half) · 1049760
Aliquot sum (sum of proper divisors): 2,670,138
Factor pairs (a × b = 1,049,760)
1 × 1049760
2 × 524880
3 × 349920
4 × 262440
5 × 209952
6 × 174960
8 × 131220
9 × 116640
10 × 104976
12 × 87480
15 × 69984
16 × 65610
18 × 58320
20 × 52488
24 × 43740
27 × 38880
30 × 34992
32 × 32805
36 × 29160
40 × 26244
45 × 23328
48 × 21870
54 × 19440
60 × 17496
72 × 14580
80 × 13122
81 × 12960
90 × 11664
96 × 10935
108 × 9720
120 × 8748
135 × 7776
144 × 7290
160 × 6561
162 × 6480
180 × 5832
216 × 4860
240 × 4374
243 × 4320
270 × 3888
288 × 3645
324 × 3240
360 × 2916
405 × 2592
432 × 2430
480 × 2187
486 × 2160
540 × 1944
648 × 1620
720 × 1458
729 × 1440
810 × 1296
864 × 1215
972 × 1080
First multiples
1,049,760 · 2,099,520 (double) · 3,149,280 · 4,199,040 · 5,248,800 · 6,298,560 · 7,348,320 · 8,398,080 · 9,447,840 · 10,497,600

Sums & aliquot sequence

As a sum of two squares: 324² + 972²
As consecutive integers: 349,919 + 349,920 + 349,921 209,950 + 209,951 + 209,952 + 209,953 + 209,954 116,636 + 116,637 + … + 116,644 69,977 + 69,978 + … + 69,991
Aliquot sequence: 1,049,760 2,670,138 3,317,382 4,377,978 5,970,438 6,965,550 12,591,234 15,506,046 18,951,954 26,385,198 33,923,922 35,920,110 50,288,226 50,288,238 96,057,234 162,353,646 286,746,642 — unresolved within range

Continued fraction of √n

√1,049,760 = [1024; (1, 1, 2, 1, 2, 2, 2, 3, 1, 5, 1, 1, 4, 2, 1, 1, 2, 3, 1, 6, 1, 24, 2, 2, …)]

Representations

In words
one million forty-nine thousand seven hundred sixty
Ordinal
1049760th
Binary
100000000010010100000
Octal
4002240
Hexadecimal
0x1004A0
Base64
EASg
One's complement
4,293,917,535 (32-bit)
Scientific notation
1.04976 × 10⁶
As a duration
1,049,760 s = 12 days, 3 hours, 36 minutes
In other bases
ternary (3) 1222100000000
quaternary (4) 10000102200
quinary (5) 232043020
senary (6) 34300000
septenary (7) 11631345
nonary (9) 1870000
undecimal (11) 657778
duodecimal (12) 427600
tridecimal (13) 2a9a7a
tetradecimal (14) 1d47cc
pentadecimal (15) 15b090

As an angle

1,049,760° = 2,916 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零四萬九千七百六十
Chinese (financial)
壹佰零肆萬玖仟柒佰陸拾
In other modern scripts
Eastern Arabic ١٠٤٩٧٦٠ Devanagari १०४९७६० Bengali ১০৪৯৭৬০ Tamil ௧௦௪௯௭௬௦ Thai ๑๐๔๙๗๖๐ Tibetan ༡༠༤༩༧༦༠ Khmer ១០៤៩៧៦០ Lao ໑໐໔໙໗໖໐ Burmese ၁၀၄၉၇၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049760, here are decompositions:

  • 13 + 1049747 = 1049760
  • 43 + 1049717 = 1049760
  • 53 + 1049707 = 1049760
  • 73 + 1049687 = 1049760
  • 79 + 1049681 = 1049760
  • 83 + 1049677 = 1049760
  • 97 + 1049663 = 1049760
  • 137 + 1049623 = 1049760

Showing the first eight; more decompositions exist.

Hex color
#1004A0
RGB(16, 4, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.4.160.

Address
0.16.4.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.4.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 4, 9760 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9760-04-01 (DMMYYYY (Euro, single-digit day))
  • 9760-10-04 (MMDYYYY (US, single-digit day))
  • 9760-04-10 (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 1,049,760 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°.