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1,049,720

1,049,720 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.).

1,049,720 (one million forty-nine thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 23 × 163. Its proper divisors sum to 1,784,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100478.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
279,401
Square (n²)
1,101,912,078,400
Cube (n³)
1,156,699,146,938,048,000
Divisor count
64
σ(n) — sum of divisors
2,833,920
φ(n) — Euler's totient
342,144
Sum of prime factors
204

Primality

Prime factorization: 2 3 × 5 × 7 × 23 × 163

Nearest primes: 1,049,717 (−3) · 1,049,747 (+27)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 23 · 28 · 35 · 40 · 46 · 56 · 70 · 92 · 115 · 140 · 161 · 163 · 184 · 230 · 280 · 322 · 326 · 460 · 644 · 652 · 805 · 815 · 920 · 1141 · 1288 · 1304 · 1610 · 1630 · 2282 · 3220 · 3260 · 3749 · 4564 · 5705 · 6440 · 6520 · 7498 · 9128 · 11410 · 14996 · 18745 · 22820 · 26243 · 29992 · 37490 · 45640 · 52486 · 74980 · 104972 · 131215 · 149960 · 209944 · 262430 · 524860 (half) · 1049720
Aliquot sum (sum of proper divisors): 1,784,200
Factor pairs (a × b = 1,049,720)
1 × 1049720
2 × 524860
4 × 262430
5 × 209944
7 × 149960
8 × 131215
10 × 104972
14 × 74980
20 × 52486
23 × 45640
28 × 37490
35 × 29992
40 × 26243
46 × 22820
56 × 18745
70 × 14996
92 × 11410
115 × 9128
140 × 7498
161 × 6520
163 × 6440
184 × 5705
230 × 4564
280 × 3749
322 × 3260
326 × 3220
460 × 2282
644 × 1630
652 × 1610
805 × 1304
815 × 1288
920 × 1141
First multiples
1,049,720 · 2,099,440 (double) · 3,149,160 · 4,198,880 · 5,248,600 · 6,298,320 · 7,348,040 · 8,397,760 · 9,447,480 · 10,497,200

Sums & aliquot sequence

As consecutive integers: 209,942 + 209,943 + 209,944 + 209,945 + 209,946 149,957 + 149,958 + … + 149,963 65,600 + 65,601 + … + 65,615 45,629 + 45,630 + … + 45,651
Aliquot sequence: 1,049,720 1,784,200 2,746,760 3,433,540 4,432,892 3,324,676 2,694,344 2,357,566 1,274,474 665,974 332,990 372,034 245,366 177,994 89,000 121,600 195,220 — unresolved within range

Continued fraction of √n

√1,049,720 = [1024; (1, 1, 3, 1, 3, 1, 1, 2048)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one million forty-nine thousand seven hundred twenty
Ordinal
1049720th
Binary
100000000010001111000
Octal
4002170
Hexadecimal
0x100478
Base64
EAR4
One's complement
4,293,917,575 (32-bit)
Scientific notation
1.04972 × 10⁶
As a duration
1,049,720 s = 12 days, 3 hours, 35 minutes, 20 seconds
In other bases
ternary (3) 1222022221112
quaternary (4) 10000101320
quinary (5) 232042340
senary (6) 34255452
septenary (7) 11631260
nonary (9) 1868845
undecimal (11) 657741
duodecimal (12) 427588
tridecimal (13) 2a9a49
tetradecimal (14) 1d47a0
pentadecimal (15) 15b065

As an angle

1,049,720° = 2,915 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零四萬九千七百二十
Chinese (financial)
壹佰零肆萬玖仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٤٩٧٢٠ Devanagari १०४९७२० Bengali ১০৪৯৭২০ Tamil ௧௦௪௯௭௨௦ Thai ๑๐๔๙๗๒๐ Tibetan ༡༠༤༩༧༢༠ Khmer ១០៤៩៧២០ Lao ໑໐໔໙໗໒໐ Burmese ၁၀၄၉၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1049720, here are decompositions:

  • 3 + 1049717 = 1049720
  • 13 + 1049707 = 1049720
  • 37 + 1049683 = 1049720
  • 43 + 1049677 = 1049720
  • 97 + 1049623 = 1049720
  • 109 + 1049611 = 1049720
  • 151 + 1049569 = 1049720
  • 193 + 1049527 = 1049720

Showing the first eight; more decompositions exist.

Hex color
#100478
RGB(16, 4, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.4.120.

Address
0.16.4.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.4.120

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 4, 9720 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9720-04-01 (DMMYYYY (Euro, single-digit day))
  • 9720-10-04 (MMDYYYY (US, single-digit day))
  • 9720-04-10 (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 1,049,720 and was likely granted around 1912.

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

Position in π

The digit sequence 1049720 first appears in π at position 667,999 of the decimal expansion (the 667,999ordinal-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°.