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1,007,160

1,007,160 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.).

1,007,160 (one million seven thousand one hundred sixty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 11 × 109. Its proper divisors sum to 2,794,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E38.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven 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
617,001
Square (n²)
1,014,371,265,600
Cube (n³)
1,021,634,163,861,696,000
Divisor count
128
σ(n) — sum of divisors
3,801,600
φ(n) — Euler's totient
207,360
Sum of prime factors
141

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 11 × 109

Nearest primes: 1,007,137 (−23) · 1,007,161 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 11 · 12 · 14 · 15 · 20 · 21 · 22 · 24 · 28 · 30 · 33 · 35 · 40 · 42 · 44 · 55 · 56 · 60 · 66 · 70 · 77 · 84 · 88 · 105 · 109 · 110 · 120 · 132 · 140 · 154 · 165 · 168 · 210 · 218 · 220 · 231 · 264 · 280 · 308 · 327 · 330 · 385 · 420 · 436 · 440 · 462 · 545 · 616 · 654 · 660 · 763 · 770 · 840 · 872 · 924 · 1090 · 1155 · 1199 · 1308 · 1320 · 1526 · 1540 · 1635 · 1848 · 2180 · 2289 · 2310 · 2398 · 2616 · 3052 · 3080 · 3270 · 3597 · 3815 · 4360 · 4578 · 4620 · 4796 · 5995 · 6104 · 6540 · 7194 · 7630 · 8393 · 9156 · 9240 · 9592 · 11445 · 11990 · 13080 · 14388 · 15260 · 16786 · 17985 · 18312 · 22890 · 23980 · 25179 · 28776 · 30520 · 33572 · 35970 · 41965 · 45780 · 47960 · 50358 · 67144 · 71940 · 83930 · 91560 · 100716 · 125895 · 143880 · 167860 · 201432 · 251790 · 335720 · 503580 (half) · 1007160
Aliquot sum (sum of proper divisors): 2,794,440
Factor pairs (a × b = 1,007,160)
1 × 1007160
2 × 503580
3 × 335720
4 × 251790
5 × 201432
6 × 167860
7 × 143880
8 × 125895
10 × 100716
11 × 91560
12 × 83930
14 × 71940
15 × 67144
20 × 50358
21 × 47960
22 × 45780
24 × 41965
28 × 35970
30 × 33572
33 × 30520
35 × 28776
40 × 25179
42 × 23980
44 × 22890
55 × 18312
56 × 17985
60 × 16786
66 × 15260
70 × 14388
77 × 13080
84 × 11990
88 × 11445
105 × 9592
109 × 9240
110 × 9156
120 × 8393
132 × 7630
140 × 7194
154 × 6540
165 × 6104
168 × 5995
210 × 4796
218 × 4620
220 × 4578
231 × 4360
264 × 3815
280 × 3597
308 × 3270
327 × 3080
330 × 3052
385 × 2616
420 × 2398
436 × 2310
440 × 2289
462 × 2180
545 × 1848
616 × 1635
654 × 1540
660 × 1526
763 × 1320
770 × 1308
840 × 1199
872 × 1155
924 × 1090
First multiples
1,007,160 · 2,014,320 (double) · 3,021,480 · 4,028,640 · 5,035,800 · 6,042,960 · 7,050,120 · 8,057,280 · 9,064,440 · 10,071,600

Sums & aliquot sequence

As consecutive integers: 335,719 + 335,720 + 335,721 201,430 + 201,431 + 201,432 + 201,433 + 201,434 143,877 + 143,878 + … + 143,883 91,555 + 91,556 + … + 91,565
Aliquot sequence: 1,007,160 2,794,440 6,795,960 13,592,280 30,326,280 67,824,120 182,643,720 449,942,520 931,904,520 1,865,883,000 4,043,197,320 8,477,683,320 16,955,367,000 — keeps growing

Continued fraction of √n

√1,007,160 = [1003; (1, 1, 2, 1, 8, 1, 1, 1, 1, 1, 3, 1, 1, 3, 4, 3, 1, 1, 3, 1, 1, 1, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one million seven thousand one hundred sixty
Ordinal
1007160th
Binary
11110101111000111000
Octal
3657070
Hexadecimal
0xF5E38
Base64
D144
One's complement
4,293,960,135 (32-bit)
Scientific notation
1.00716 × 10⁶
As a duration
1,007,160 s = 11 days, 15 hours, 46 minutes
In other bases
ternary (3) 1220011120020
quaternary (4) 3311320320
quinary (5) 224212120
senary (6) 33330440
septenary (7) 11363220
nonary (9) 1804506
undecimal (11) 628770
duodecimal (12) 406a20
tridecimal (13) 29356b
tetradecimal (14) 1c3080
pentadecimal (15) 14d640

As an angle

1,007,160° = 2,797 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百萬七千一百六十
Chinese (financial)
壹佰萬柒仟壹佰陸拾
In other modern scripts
Eastern Arabic ١٠٠٧١٦٠ Devanagari १००७१६० Bengali ১০০৭১৬০ Tamil ௧௦௦௭௧௬௦ Thai ๑๐๐๗๑๖๐ Tibetan ༡༠༠༧༡༦༠ Khmer ១០០៧១៦០ Lao ໑໐໐໗໑໖໐ Burmese ၁၀၀၇၁၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007160, here are decompositions:

  • 23 + 1007137 = 1007160
  • 31 + 1007129 = 1007160
  • 41 + 1007119 = 1007160
  • 43 + 1007117 = 1007160
  • 61 + 1007099 = 1007160
  • 71 + 1007089 = 1007160
  • 79 + 1007081 = 1007160
  • 101 + 1007059 = 1007160

Showing the first eight; more decompositions exist.

Hex color
#0F5E38
RGB(15, 94, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.56.

Address
0.15.94.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.94.56

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 1,007,160 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°.