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1,006,720

1,006,720 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.).

1,006,720 (one million six thousand seven hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 5 × 11² × 13. Its proper divisors sum to 1,842,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C80.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
276,001
Square (n²)
1,013,485,158,400
Cube (n³)
1,020,295,778,664,448,000
Divisor count
96
σ(n) — sum of divisors
2,848,860
φ(n) — Euler's totient
337,920
Sum of prime factors
54

Primality

Prime factorization: 2 7 × 5 × 11 2 × 13

Nearest primes: 1,006,711 (−9) · 1,006,721 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 13 · 16 · 20 · 22 · 26 · 32 · 40 · 44 · 52 · 55 · 64 · 65 · 80 · 88 · 104 · 110 · 121 · 128 · 130 · 143 · 160 · 176 · 208 · 220 · 242 · 260 · 286 · 320 · 352 · 416 · 440 · 484 · 520 · 572 · 605 · 640 · 704 · 715 · 832 · 880 · 968 · 1040 · 1144 · 1210 · 1408 · 1430 · 1573 · 1664 · 1760 · 1936 · 2080 · 2288 · 2420 · 2860 · 3146 · 3520 · 3872 · 4160 · 4576 · 4840 · 5720 · 6292 · 7040 · 7744 · 7865 · 8320 · 9152 · 9680 · 11440 · 12584 · 15488 · 15730 · 18304 · 19360 · 22880 · 25168 · 31460 · 38720 · 45760 · 50336 · 62920 · 77440 · 91520 · 100672 · 125840 · 201344 · 251680 · 503360 (half) · 1006720
Aliquot sum (sum of proper divisors): 1,842,140
Factor pairs (a × b = 1,006,720)
1 × 1006720
2 × 503360
4 × 251680
5 × 201344
8 × 125840
10 × 100672
11 × 91520
13 × 77440
16 × 62920
20 × 50336
22 × 45760
26 × 38720
32 × 31460
40 × 25168
44 × 22880
52 × 19360
55 × 18304
64 × 15730
65 × 15488
80 × 12584
88 × 11440
104 × 9680
110 × 9152
121 × 8320
128 × 7865
130 × 7744
143 × 7040
160 × 6292
176 × 5720
208 × 4840
220 × 4576
242 × 4160
260 × 3872
286 × 3520
320 × 3146
352 × 2860
416 × 2420
440 × 2288
484 × 2080
520 × 1936
572 × 1760
605 × 1664
640 × 1573
704 × 1430
715 × 1408
832 × 1210
880 × 1144
968 × 1040
First multiples
1,006,720 · 2,013,440 (double) · 3,020,160 · 4,026,880 · 5,033,600 · 6,040,320 · 7,047,040 · 8,053,760 · 9,060,480 · 10,067,200

Sums & aliquot sequence

As a sum of two squares: 264² + 968² = 616² + 792²
As consecutive integers: 201,342 + 201,343 + 201,344 + 201,345 + 201,346 91,515 + 91,516 + … + 91,525 77,434 + 77,435 + … + 77,446 18,277 + 18,278 + … + 18,331
Aliquot sequence: 1,006,720 1,842,140 2,026,396 1,519,804 1,606,004 1,215,724 911,800 1,275,560 2,111,320 2,639,240 3,299,140 4,162,580 4,578,880 6,622,520 9,156,280 14,871,560 22,211,320 — unresolved within range

Continued fraction of √n

√1,006,720 = [1003; (2, 1, 4, 1, 1, 1, 1, 2, 4, 5, 3, 40, 1, 1, 1, 3, 2, 13, 2, 55, 3, 1, 5, 1, …)]

Representations

In words
one million six thousand seven hundred twenty
Ordinal
1006720th
Binary
11110101110010000000
Octal
3656200
Hexadecimal
0xF5C80
Base64
D1yA
One's complement
4,293,960,575 (32-bit)
Scientific notation
1.00672 × 10⁶
As a duration
1,006,720 s = 11 days, 15 hours, 38 minutes, 40 seconds
In other bases
ternary (3) 1220010221221
quaternary (4) 3311302000
quinary (5) 224203340
senary (6) 33324424
septenary (7) 11362021
nonary (9) 1803857
undecimal (11) 628400
duodecimal (12) 406714
tridecimal (13) 2932c0
tetradecimal (14) 1c2c48
pentadecimal (15) 14d44a

As an angle

1,006,720° = 2,796 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百萬六千七百二十
Chinese (financial)
壹佰萬陸仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٠٠٦٧٢٠ Devanagari १००६७२० Bengali ১০০৬৭২০ Tamil ௧௦௦௬௭௨௦ Thai ๑๐๐๖๗๒๐ Tibetan ༡༠༠༦༧༢༠ Khmer ១០០៦៧២០ Lao ໑໐໐໖໗໒໐ Burmese ၁၀၀၆၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006720, here are decompositions:

  • 83 + 1006637 = 1006720
  • 107 + 1006613 = 1006720
  • 131 + 1006589 = 1006720
  • 137 + 1006583 = 1006720
  • 173 + 1006547 = 1006720
  • 227 + 1006493 = 1006720
  • 251 + 1006469 = 1006720
  • 257 + 1006463 = 1006720

Showing the first eight; more decompositions exist.

Hex color
#0F5C80
RGB(15, 92, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.128.

Address
0.15.92.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.92.128

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 1,006,720 and was likely granted around 1911.

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

Position in π

The digit sequence 1006720 first appears in π at position 543,520 of the decimal expansion (the 543,520ordinal-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°.