number.wiki
Live analysis

1,055,640

1,055,640 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.).

1,055,640 (one million fifty-five thousand six hundred forty) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 19 × 463. Its proper divisors sum to 2,285,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101B98.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
465,501
Square (n²)
1,114,375,809,600
Cube (n³)
1,176,379,679,646,144,000
Divisor count
64
σ(n) — sum of divisors
3,340,800
φ(n) — Euler's totient
266,112
Sum of prime factors
496

Primality

Prime factorization: 2 3 × 3 × 5 × 19 × 463

Nearest primes: 1,055,611 (−29) · 1,055,671 (+31)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 19 · 20 · 24 · 30 · 38 · 40 · 57 · 60 · 76 · 95 · 114 · 120 · 152 · 190 · 228 · 285 · 380 · 456 · 463 · 570 · 760 · 926 · 1140 · 1389 · 1852 · 2280 · 2315 · 2778 · 3704 · 4630 · 5556 · 6945 · 8797 · 9260 · 11112 · 13890 · 17594 · 18520 · 26391 · 27780 · 35188 · 43985 · 52782 · 55560 · 70376 · 87970 · 105564 · 131955 · 175940 · 211128 · 263910 · 351880 · 527820 (half) · 1055640
Aliquot sum (sum of proper divisors): 2,285,160
Factor pairs (a × b = 1,055,640)
1 × 1055640
2 × 527820
3 × 351880
4 × 263910
5 × 211128
6 × 175940
8 × 131955
10 × 105564
12 × 87970
15 × 70376
19 × 55560
20 × 52782
24 × 43985
30 × 35188
38 × 27780
40 × 26391
57 × 18520
60 × 17594
76 × 13890
95 × 11112
114 × 9260
120 × 8797
152 × 6945
190 × 5556
228 × 4630
285 × 3704
380 × 2778
456 × 2315
463 × 2280
570 × 1852
760 × 1389
926 × 1140
First multiples
1,055,640 · 2,111,280 (double) · 3,166,920 · 4,222,560 · 5,278,200 · 6,333,840 · 7,389,480 · 8,445,120 · 9,500,760 · 10,556,400

Sums & aliquot sequence

As consecutive integers: 351,879 + 351,880 + 351,881 211,126 + 211,127 + 211,128 + 211,129 + 211,130 70,369 + 70,370 + … + 70,383 65,970 + 65,971 + … + 65,985
Aliquot sequence: 1,055,640 → 2,285,160 → 4,670,040 → 9,340,440 → 18,882,120 → 37,764,600 → 80,553,720 → 179,701,800 → 387,985,080 → 942,252,360 → 2,538,596,280 → 5,813,864,520 → 11,732,230,200 — keeps growing

Continued fraction of √n

√1,055,640 = [1027; (2, 3, 1, 11, 2, 1, 1, 1, 1, 1, 5, 1, 1, 16, 2, 3, 1, 3, 1, 2, 4, 2, 2, 3, …)]

Representations

In words
one million fifty-five thousand six hundred forty
Ordinal
1055640th
Binary
100000001101110011000
Octal
4015630
Hexadecimal
0x101B98
Base64
EBuY
One's complement
4,293,911,655 (32-bit)
Scientific notation
1.05564 × 10⁶
As a duration
1,055,640 s = 12 days, 5 hours, 14 minutes
In other bases
ternary (3) 1222122001210
quaternary (4) 10001232120
quinary (5) 232240030
senary (6) 34343120
septenary (7) 11654445
nonary (9) 1878053
undecimal (11) 661133
duodecimal (12) 42aaa0
tridecimal (13) 2ac651
tetradecimal (14) 1d69cc
pentadecimal (15) 15cbb0

As an angle

1,055,640° = 2,932 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬五千六百四十
Chinese (financial)
壹佰零伍萬伍仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٥٦٤٠ Devanagari १०५५६४० Bengali ১০৫৫৬৪০ Tamil ௧௦௫௫௬௪௦ Thai ๑๐๕๕๖๔๐ Tibetan ༡༠༥༥༦༤༠ Khmer ១០៥៥៦៤០ Lao ໑໐໕໕໖໔໐ Burmese ၁၀၅၅၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055640, here are decompositions:

  • 29 + 1055611 = 1055640
  • 31 + 1055609 = 1055640
  • 37 + 1055603 = 1055640
  • 43 + 1055597 = 1055640
  • 73 + 1055567 = 1055640
  • 97 + 1055543 = 1055640
  • 109 + 1055531 = 1055640
  • 137 + 1055503 = 1055640

Showing the first eight; more decompositions exist.

Hex color
#101B98
RGB(16, 27, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.27.152.

Address
0.16.27.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.27.152

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 5640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5640-05-01 (DMMYYYY (Euro, single-digit day))
  • 5640-10-05 (MMDYYYY (US, single-digit day))
  • 5640-05-10 (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 1,055,640 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°.