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1,006,740

1,006,740 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.).

1,006,740 (one million six thousand seven hundred forty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2² × 3² × 5 × 7 × 17 × 47. Its proper divisors sum to 2,767,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5C94.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
476,001
Square (n²)
1,013,525,427,600
Cube (n³)
1,020,356,588,982,024,000
Divisor count
144
σ(n) — sum of divisors
3,773,952
φ(n) — Euler's totient
211,968
Sum of prime factors
86

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 × 17 × 47

Nearest primes: 1,006,739 (−1) · 1,006,751 (+11)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 17 · 18 · 20 · 21 · 28 · 30 · 34 · 35 · 36 · 42 · 45 · 47 · 51 · 60 · 63 · 68 · 70 · 84 · 85 · 90 · 94 · 102 · 105 · 119 · 126 · 140 · 141 · 153 · 170 · 180 · 188 · 204 · 210 · 235 · 238 · 252 · 255 · 282 · 306 · 315 · 329 · 340 · 357 · 420 · 423 · 470 · 476 · 510 · 564 · 595 · 612 · 630 · 658 · 705 · 714 · 765 · 799 · 846 · 940 · 987 · 1020 · 1071 · 1190 · 1260 · 1316 · 1410 · 1428 · 1530 · 1598 · 1645 · 1692 · 1785 · 1974 · 2115 · 2142 · 2380 · 2397 · 2820 · 2961 · 3060 · 3196 · 3290 · 3570 · 3948 · 3995 · 4230 · 4284 · 4794 · 4935 · 5355 · 5593 · 5922 · 6580 · 7140 · 7191 · 7990 · 8460 · 9588 · 9870 · 10710 · 11186 · 11844 · 11985 · 14382 · 14805 · 15980 · 16779 · 19740 · 21420 · 22372 · 23970 · 27965 · 28764 · 29610 · 33558 · 35955 · 47940 · 50337 · 55930 · 59220 · 67116 · 71910 · 83895 · 100674 · 111860 · 143820 · 167790 · 201348 · 251685 · 335580 · 503370 (half) · 1006740
Aliquot sum (sum of proper divisors): 2,767,212
Factor pairs (a × b = 1,006,740)
1 × 1006740
2 × 503370
3 × 335580
4 × 251685
5 × 201348
6 × 167790
7 × 143820
9 × 111860
10 × 100674
12 × 83895
14 × 71910
15 × 67116
17 × 59220
18 × 55930
20 × 50337
21 × 47940
28 × 35955
30 × 33558
34 × 29610
35 × 28764
36 × 27965
42 × 23970
45 × 22372
47 × 21420
51 × 19740
60 × 16779
63 × 15980
68 × 14805
70 × 14382
84 × 11985
85 × 11844
90 × 11186
94 × 10710
102 × 9870
105 × 9588
119 × 8460
126 × 7990
140 × 7191
141 × 7140
153 × 6580
170 × 5922
180 × 5593
188 × 5355
204 × 4935
210 × 4794
235 × 4284
238 × 4230
252 × 3995
255 × 3948
282 × 3570
306 × 3290
315 × 3196
329 × 3060
340 × 2961
357 × 2820
420 × 2397
423 × 2380
470 × 2142
476 × 2115
510 × 1974
564 × 1785
595 × 1692
612 × 1645
630 × 1598
658 × 1530
705 × 1428
714 × 1410
765 × 1316
799 × 1260
846 × 1190
940 × 1071
987 × 1020
First multiples
1,006,740 · 2,013,480 (double) · 3,020,220 · 4,026,960 · 5,033,700 · 6,040,440 · 7,047,180 · 8,053,920 · 9,060,660 · 10,067,400

Sums & aliquot sequence

As consecutive integers: 335,579 + 335,580 + 335,581 201,346 + 201,347 + 201,348 + 201,349 + 201,350 143,817 + 143,818 + … + 143,823 125,839 + 125,840 + … + 125,846
Aliquot sequence: 1,006,740 2,767,212 5,386,388 5,618,284 5,696,404 5,790,764 5,790,820 9,147,740 14,151,172 14,151,228 26,491,332 44,152,444 45,366,244 53,615,324 56,111,524 58,231,964 58,232,020 — unresolved within range

Continued fraction of √n

√1,006,740 = [1003; (2, 1, 2, 1, 11, 125, 2, 1, 56, 1, 2, 125, 11, 1, 2, 1, 2, 2006)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one million six thousand seven hundred forty
Ordinal
1006740th
Binary
11110101110010010100
Octal
3656224
Hexadecimal
0xF5C94
Base64
D1yU
One's complement
4,293,960,555 (32-bit)
Scientific notation
1.00674 × 10⁶
As a duration
1,006,740 s = 11 days, 15 hours, 39 minutes
In other bases
ternary (3) 1220010222200
quaternary (4) 3311302110
quinary (5) 224203430
senary (6) 33324500
septenary (7) 11362050
nonary (9) 1803880
undecimal (11) 628419
duodecimal (12) 406730
tridecimal (13) 293307
tetradecimal (14) 1c2c60
pentadecimal (15) 14d460

As an angle

1,006,740° = 2,796 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百萬六千七百四十
Chinese (financial)
壹佰萬陸仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٠٠٦٧٤٠ Devanagari १००६७४० Bengali ১০০৬৭৪০ Tamil ௧௦௦௬௭௪௦ Thai ๑๐๐๖๗๔๐ Tibetan ༡༠༠༦༧༤༠ Khmer ១០០៦៧៤០ Lao ໑໐໐໖໗໔໐ Burmese ၁၀၀၆၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006740, here are decompositions:

  • 19 + 1006721 = 1006740
  • 29 + 1006711 = 1006740
  • 89 + 1006651 = 1006740
  • 103 + 1006637 = 1006740
  • 107 + 1006633 = 1006740
  • 127 + 1006613 = 1006740
  • 131 + 1006609 = 1006740
  • 151 + 1006589 = 1006740

Showing the first eight; more decompositions exist.

Hex color
#0F5C94
RGB(15, 92, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.92.148.

Address
0.15.92.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.92.148

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 1,006,740 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°.