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1,004,640

1,004,640 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.).

1,004,640 (one million four thousand six hundred forty) is an even 7-digit number. It is a composite number with 192 divisors, and factors as 2⁵ × 3 × 5 × 7 × 13 × 23. Its proper divisors sum to 3,059,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5460.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
464,001
Square (n²)
1,009,301,529,600
Cube (n³)
1,013,984,688,697,344,000
Divisor count
192
σ(n) — sum of divisors
4,064,256
φ(n) — Euler's totient
202,752
Sum of prime factors
61

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 13 × 23

Nearest primes: 1,004,599 (−41) · 1,004,651 (+11)

Divisors & multiples

All divisors (192)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 13 · 14 · 15 · 16 · 20 · 21 · 23 · 24 · 26 · 28 · 30 · 32 · 35 · 39 · 40 · 42 · 46 · 48 · 52 · 56 · 60 · 65 · 69 · 70 · 78 · 80 · 84 · 91 · 92 · 96 · 104 · 105 · 112 · 115 · 120 · 130 · 138 · 140 · 156 · 160 · 161 · 168 · 182 · 184 · 195 · 208 · 210 · 224 · 230 · 240 · 260 · 273 · 276 · 280 · 299 · 312 · 322 · 336 · 345 · 364 · 368 · 390 · 416 · 420 · 455 · 460 · 480 · 483 · 520 · 546 · 552 · 560 · 598 · 624 · 644 · 672 · 690 · 728 · 736 · 780 · 805 · 840 · 897 · 910 · 920 · 966 · 1040 · 1092 · 1104 · 1120 · 1196 · 1248 · 1288 · 1365 · 1380 · 1456 · 1495 · 1560 · 1610 · 1680 · 1794 · 1820 · 1840 · 1932 · 2080 · 2093 · 2184 · 2208 · 2392 · 2415 · 2576 · 2730 · 2760 · 2912 · 2990 · 3120 · 3220 · 3360 · 3588 · 3640 · 3680 · 3864 · 4186 · 4368 · 4485 · 4784 · 4830 · 5152 · 5460 · 5520 · 5980 · 6240 · 6279 · 6440 · 7176 · 7280 · 7728 · 8372 · 8736 · 8970 · 9568 · 9660 · 10465 · 10920 · 11040 · 11960 · 12558 · 12880 · 14352 · 14560 · 15456 · 16744 · 17940 · 19320 · 20930 · 21840 · 23920 · 25116 · 25760 · 28704 · 31395 · 33488 · 35880 · 38640 · 41860 · 43680 · 47840 · 50232 · 62790 · 66976 · 71760 · 77280 · 83720 · 100464 · 125580 · 143520 · 167440 · 200928 · 251160 · 334880 · 502320 (half) · 1004640
Aliquot sum (sum of proper divisors): 3,059,616
Factor pairs (a × b = 1,004,640)
1 × 1004640
2 × 502320
3 × 334880
4 × 251160
5 × 200928
6 × 167440
7 × 143520
8 × 125580
10 × 100464
12 × 83720
13 × 77280
14 × 71760
15 × 66976
16 × 62790
20 × 50232
21 × 47840
23 × 43680
24 × 41860
26 × 38640
28 × 35880
30 × 33488
32 × 31395
35 × 28704
39 × 25760
40 × 25116
42 × 23920
46 × 21840
48 × 20930
52 × 19320
56 × 17940
60 × 16744
65 × 15456
69 × 14560
70 × 14352
78 × 12880
80 × 12558
84 × 11960
91 × 11040
92 × 10920
96 × 10465
104 × 9660
105 × 9568
112 × 8970
115 × 8736
120 × 8372
130 × 7728
138 × 7280
140 × 7176
156 × 6440
160 × 6279
161 × 6240
168 × 5980
182 × 5520
184 × 5460
195 × 5152
208 × 4830
210 × 4784
224 × 4485
230 × 4368
240 × 4186
260 × 3864
273 × 3680
276 × 3640
280 × 3588
299 × 3360
312 × 3220
322 × 3120
336 × 2990
345 × 2912
364 × 2760
368 × 2730
390 × 2576
416 × 2415
420 × 2392
455 × 2208
460 × 2184
480 × 2093
483 × 2080
520 × 1932
546 × 1840
552 × 1820
560 × 1794
598 × 1680
624 × 1610
644 × 1560
672 × 1495
690 × 1456
728 × 1380
736 × 1365
780 × 1288
805 × 1248
840 × 1196
897 × 1120
910 × 1104
920 × 1092
966 × 1040
First multiples
1,004,640 · 2,009,280 (double) · 3,013,920 · 4,018,560 · 5,023,200 · 6,027,840 · 7,032,480 · 8,037,120 · 9,041,760 · 10,046,400

Sums & aliquot sequence

As consecutive integers: 334,879 + 334,880 + 334,881 200,926 + 200,927 + 200,928 + 200,929 + 200,930 143,517 + 143,518 + … + 143,523 77,274 + 77,275 + … + 77,286
Aliquot sequence: 1,004,640 3,059,616 6,496,224 13,354,824 24,802,296 41,197,704 61,968,216 92,952,384 212,920,512 468,856,128 867,090,400 1,442,152,424 1,261,883,386 663,577,856 668,396,788 501,297,598 298,665,746 — unresolved within range

Continued fraction of √n

√1,004,640 = [1002; (3, 6, 1, 1, 1, 1, 12, 501, 12, 1, 1, 1, 1, 6, 3, 2004)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million four thousand six hundred forty
Ordinal
1004640th
Binary
11110101010001100000
Octal
3652140
Hexadecimal
0xF5460
Base64
D1Rg
One's complement
4,293,962,655 (32-bit)
Scientific notation
1.00464 × 10⁶
As a duration
1,004,640 s = 11 days, 15 hours, 4 minutes
In other bases
ternary (3) 1220001002220
quaternary (4) 3311101200
quinary (5) 224122030
senary (6) 33311040
septenary (7) 11352660
nonary (9) 1801086
undecimal (11) 62688a
duodecimal (12) 405480
tridecimal (13) 292380
tetradecimal (14) 1c21a0
pentadecimal (15) 14ca10

As an angle

1,004,640° = 2,790 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百萬四千六百四十
Chinese (financial)
壹佰萬肆仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٠٤٦٤٠ Devanagari १००४६४० Bengali ১০০৪৬৪০ Tamil ௧௦௦௪௬௪௦ Thai ๑๐๐๔๖๔๐ Tibetan ༡༠༠༤༦༤༠ Khmer ១០០៤៦៤០ Lao ໑໐໐໔໖໔໐ Burmese ၁၀၀၄၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004640, here are decompositions:

  • 41 + 1004599 = 1004640
  • 73 + 1004567 = 1004640
  • 79 + 1004561 = 1004640
  • 89 + 1004551 = 1004640
  • 103 + 1004537 = 1004640
  • 113 + 1004527 = 1004640
  • 139 + 1004501 = 1004640
  • 157 + 1004483 = 1004640

Showing the first eight; more decompositions exist.

Hex color
#0F5460
RGB(15, 84, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.84.96.

Address
0.15.84.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.84.96

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 1,004,640 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°.