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1,007,720

1,007,720 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.).

1,007,720 (one million seven thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 7 × 59 × 61. Its proper divisors sum to 1,670,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6068.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
20 bits
Reversed
277,001
Recamán's sequence
a(350,011) = 1,007,720
Square (n²)
1,015,499,598,400
Cube (n³)
1,023,339,255,299,648,000
Divisor count
64
σ(n) — sum of divisors
2,678,400
φ(n) — Euler's totient
334,080
Sum of prime factors
138

Primality

Prime factorization: 2 3 × 5 × 7 × 59 × 61

Nearest primes: 1,007,719 (−1) · 1,007,723 (+3)

Divisors & multiples

All divisors (64)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 20 · 28 · 35 · 40 · 56 · 59 · 61 · 70 · 118 · 122 · 140 · 236 · 244 · 280 · 295 · 305 · 413 · 427 · 472 · 488 · 590 · 610 · 826 · 854 · 1180 · 1220 · 1652 · 1708 · 2065 · 2135 · 2360 · 2440 · 3304 · 3416 · 3599 · 4130 · 4270 · 7198 · 8260 · 8540 · 14396 · 16520 · 17080 · 17995 · 25193 · 28792 · 35990 · 50386 · 71980 · 100772 · 125965 · 143960 · 201544 · 251930 · 503860 (half) · 1007720
Aliquot sum (sum of proper divisors): 1,670,680
Factor pairs (a × b = 1,007,720)
1 × 1007720
2 × 503860
4 × 251930
5 × 201544
7 × 143960
8 × 125965
10 × 100772
14 × 71980
20 × 50386
28 × 35990
35 × 28792
40 × 25193
56 × 17995
59 × 17080
61 × 16520
70 × 14396
118 × 8540
122 × 8260
140 × 7198
236 × 4270
244 × 4130
280 × 3599
295 × 3416
305 × 3304
413 × 2440
427 × 2360
472 × 2135
488 × 2065
590 × 1708
610 × 1652
826 × 1220
854 × 1180
First multiples
1,007,720 · 2,015,440 (double) · 3,023,160 · 4,030,880 · 5,038,600 · 6,046,320 · 7,054,040 · 8,061,760 · 9,069,480 · 10,077,200

Sums & aliquot sequence

As consecutive integers: 201,542 + 201,543 + 201,544 + 201,545 + 201,546 143,957 + 143,958 + … + 143,963 62,975 + 62,976 + … + 62,990 28,775 + 28,776 + … + 28,809
Aliquot sequence: 1,007,720 1,670,680 2,431,160 3,039,040 4,198,436 3,816,844 3,078,324 4,993,740 10,154,484 17,404,684 18,076,916 21,807,124 18,600,320 25,867,600 41,940,560 55,571,428 56,967,852 — unresolved within range

Continued fraction of √n

√1,007,720 = [1003; (1, 5, 1, 3, 1, 1, 1, 1, 2, 5, 2, 4, 1, 4, 1, 2, 1, 11, 7, 11, 1, 2, 1, 4, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand seven hundred twenty
Ordinal
1007720th
Binary
11110110000001101000
Octal
3660150
Hexadecimal
0xF6068
Base64
D2Bo
One's complement
4,293,959,575 (32-bit)
Scientific notation
1.00772 × 10⁶
As a duration
1,007,720 s = 11 days, 15 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 1220012022222
quaternary (4) 3312001220
quinary (5) 224221340
senary (6) 33333212
septenary (7) 11364650
nonary (9) 1805288
undecimal (11) 62912a
duodecimal (12) 407208
tridecimal (13) 2938ac
tetradecimal (14) 1c3360
pentadecimal (15) 14d8b5

As an angle

1,007,720° = 2,799 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百萬七千七百二十
Chinese (financial)
壹佰萬柒仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٠٧٧٢٠ Devanagari १००७७२० Bengali ১০০৭৭২০ Tamil ௧௦௦௭௭௨௦ Thai ๑๐๐๗๗๒๐ Tibetan ༡༠༠༧༧༢༠ Khmer ១០០៧៧២០ Lao ໑໐໐໗໗໒໐ Burmese ၁၀၀၇၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007720, here are decompositions:

  • 19 + 1007701 = 1007720
  • 37 + 1007683 = 1007720
  • 73 + 1007647 = 1007720
  • 163 + 1007557 = 1007720
  • 193 + 1007527 = 1007720
  • 223 + 1007497 = 1007720
  • 367 + 1007353 = 1007720
  • 421 + 1007299 = 1007720

Showing the first eight; more decompositions exist.

Hex color
#0F6068
RGB(15, 96, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.96.104.

Address
0.15.96.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.96.104

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 1,007,720 and was likely granted around 1911.

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°.