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1,051,380

1,051,380 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.).

1,051,380 (one million fifty-one thousand three hundred eighty) is an even 7-digit number. It is a composite number with 120 divisors, and factors as 2² × 3⁴ × 5 × 11 × 59. Its proper divisors sum to 2,607,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100AF4.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
831,501
Square (n²)
1,105,399,904,400
Cube (n³)
1,162,195,351,488,072,000
Divisor count
120
σ(n) — sum of divisors
3,659,040
φ(n) — Euler's totient
250,560
Sum of prime factors
91

Primality

Prime factorization: 2 2 × 3 4 × 5 × 11 × 59

Nearest primes: 1,051,373 (−7) · 1,051,397 (+17)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 11 · 12 · 15 · 18 · 20 · 22 · 27 · 30 · 33 · 36 · 44 · 45 · 54 · 55 · 59 · 60 · 66 · 81 · 90 · 99 · 108 · 110 · 118 · 132 · 135 · 162 · 165 · 177 · 180 · 198 · 220 · 236 · 270 · 295 · 297 · 324 · 330 · 354 · 396 · 405 · 495 · 531 · 540 · 590 · 594 · 649 · 660 · 708 · 810 · 885 · 891 · 990 · 1062 · 1180 · 1188 · 1298 · 1485 · 1593 · 1620 · 1770 · 1782 · 1947 · 1980 · 2124 · 2596 · 2655 · 2970 · 3186 · 3245 · 3540 · 3564 · 3894 · 4455 · 4779 · 5310 · 5841 · 5940 · 6372 · 6490 · 7788 · 7965 · 8910 · 9558 · 9735 · 10620 · 11682 · 12980 · 15930 · 17523 · 17820 · 19116 · 19470 · 23364 · 23895 · 29205 · 31860 · 35046 · 38940 · 47790 · 52569 · 58410 · 70092 · 87615 · 95580 · 105138 · 116820 · 175230 · 210276 · 262845 · 350460 · 525690 (half) · 1051380
Aliquot sum (sum of proper divisors): 2,607,660
Factor pairs (a × b = 1,051,380)
1 × 1051380
2 × 525690
3 × 350460
4 × 262845
5 × 210276
6 × 175230
9 × 116820
10 × 105138
11 × 95580
12 × 87615
15 × 70092
18 × 58410
20 × 52569
22 × 47790
27 × 38940
30 × 35046
33 × 31860
36 × 29205
44 × 23895
45 × 23364
54 × 19470
55 × 19116
59 × 17820
60 × 17523
66 × 15930
81 × 12980
90 × 11682
99 × 10620
108 × 9735
110 × 9558
118 × 8910
132 × 7965
135 × 7788
162 × 6490
165 × 6372
177 × 5940
180 × 5841
198 × 5310
220 × 4779
236 × 4455
270 × 3894
295 × 3564
297 × 3540
324 × 3245
330 × 3186
354 × 2970
396 × 2655
405 × 2596
495 × 2124
531 × 1980
540 × 1947
590 × 1782
594 × 1770
649 × 1620
660 × 1593
708 × 1485
810 × 1298
885 × 1188
891 × 1180
990 × 1062
First multiples
1,051,380 · 2,102,760 (double) · 3,154,140 · 4,205,520 · 5,256,900 · 6,308,280 · 7,359,660 · 8,411,040 · 9,462,420 · 10,513,800

Sums & aliquot sequence

As consecutive integers: 350,459 + 350,460 + 350,461 210,274 + 210,275 + 210,276 + 210,277 + 210,278 131,419 + 131,420 + … + 131,426 116,816 + 116,817 + … + 116,824
Aliquot sequence: 1,051,380 2,607,660 6,262,740 14,467,788 23,416,212 31,300,044 43,433,076 62,092,428 83,899,572 118,268,940 212,884,260 383,191,836 512,217,588 721,511,692 693,150,788 630,137,164 592,078,964 — unresolved within range

Continued fraction of √n

√1,051,380 = [1025; (2, 1, 2, 1, 1, 13, 1, 1, 1, 24, 1, 1, 1, 13, 1, 1, 2, 1, 2, 2050)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million fifty-one thousand three hundred eighty
Ordinal
1051380th
Binary
100000000101011110100
Octal
4005364
Hexadecimal
0x100AF4
Base64
EAr0
One's complement
4,293,915,915 (32-bit)
Scientific notation
1.05138 × 10⁶
As a duration
1,051,380 s = 12 days, 4 hours, 3 minutes
In other bases
ternary (3) 1222102020000
quaternary (4) 10000223310
quinary (5) 232121010
senary (6) 34311300
septenary (7) 11636151
nonary (9) 1872200
undecimal (11) 658a10
duodecimal (12) 428530
tridecimal (13) 2aa725
tetradecimal (14) 1d5228
pentadecimal (15) 15b7c0

As an angle

1,051,380° = 2,920 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬一千三百八十
Chinese (financial)
壹佰零伍萬壹仟參佰捌拾
In other modern scripts
Eastern Arabic ١٠٥١٣٨٠ Devanagari १०५१३८० Bengali ১০৫১৩৮০ Tamil ௧௦௫௧௩௮௦ Thai ๑๐๕๑๓๘๐ Tibetan ༡༠༥༡༣༨༠ Khmer ១០៥១៣៨០ Lao ໑໐໕໑໓໘໐ Burmese ၁၀၅၁၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051380, here are decompositions:

  • 7 + 1051373 = 1051380
  • 47 + 1051333 = 1051380
  • 61 + 1051319 = 1051380
  • 67 + 1051313 = 1051380
  • 79 + 1051301 = 1051380
  • 89 + 1051291 = 1051380
  • 97 + 1051283 = 1051380
  • 103 + 1051277 = 1051380

Showing the first eight; more decompositions exist.

Hex color
#100AF4
RGB(16, 10, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.244.

Address
0.16.10.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.244

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 1380 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1380-05-01 (DMMYYYY (Euro, single-digit day))
  • 1380-10-05 (MMDYYYY (US, single-digit day))
  • 1380-05-10 (DDMYYYY (Euro, single-digit month))
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 1,051,380 and was likely granted around 1912.

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°.