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1,054,640

1,054,640 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.).

1,054,640 (one million fifty-four thousand six hundred forty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 13,183. Its proper divisors sum to 1,397,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1017B0.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
464,501
Square (n²)
1,112,265,529,600
Cube (n³)
1,173,039,718,137,344,000
Divisor count
20
σ(n) — sum of divisors
2,452,224
φ(n) — Euler's totient
421,824
Sum of prime factors
13,196

Primality

Prime factorization: 2 4 × 5 × 13183

Nearest primes: 1,054,639 (−1) · 1,054,649 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 13183 · 26366 · 52732 · 65915 · 105464 · 131830 · 210928 · 263660 · 527320 (half) · 1054640
Aliquot sum (sum of proper divisors): 1,397,584
Factor pairs (a × b = 1,054,640)
1 × 1054640
2 × 527320
4 × 263660
5 × 210928
8 × 131830
10 × 105464
16 × 65915
20 × 52732
40 × 26366
80 × 13183
First multiples
1,054,640 · 2,109,280 (double) · 3,163,920 · 4,218,560 · 5,273,200 · 6,327,840 · 7,382,480 · 8,437,120 · 9,491,760 · 10,546,400

Sums & aliquot sequence

As consecutive integers: 210,926 + 210,927 + 210,928 + 210,929 + 210,930 32,942 + 32,943 + … + 32,973 6,512 + 6,513 + … + 6,671
Aliquot sequence: 1,054,640 1,397,584 1,337,732 1,216,204 1,134,452 1,284,748 963,568 903,376 864,368 831,952 998,288 982,240 1,672,832 2,137,888 2,071,142 1,035,574 525,314 — unresolved within range

Continued fraction of √n

√1,054,640 = [1026; (1, 22, 12, 1, 3, 1, 5, 2, 1, 127, 1, 2, 5, 1, 3, 1, 12, 22, 1, 2052)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million fifty-four thousand six hundred forty
Ordinal
1054640th
Binary
100000001011110110000
Octal
4013660
Hexadecimal
0x1017B0
Base64
EBew
One's complement
4,293,912,655 (32-bit)
Scientific notation
1.05464 × 10⁶
As a duration
1,054,640 s = 12 days, 4 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 1222120200202
quaternary (4) 10001132300
quinary (5) 232222030
senary (6) 34334332
septenary (7) 11651516
nonary (9) 1876622
undecimal (11) 660404
duodecimal (12) 42a3a8
tridecimal (13) 2ac062
tetradecimal (14) 1d64b6
pentadecimal (15) 15c745

As an angle

1,054,640° = 2,929 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬四千六百四十
Chinese (financial)
壹佰零伍萬肆仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٤٦٤٠ Devanagari १०५४६४० Bengali ১০৫৪৬৪০ Tamil ௧௦௫௪௬௪௦ Thai ๑๐๕๔๖๔๐ Tibetan ༡༠༥༤༦༤༠ Khmer ១០៥៤៦៤០ Lao ໑໐໕໔໖໔໐ Burmese ၁၀၅၄၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054640, here are decompositions:

  • 19 + 1054621 = 1054640
  • 31 + 1054609 = 1054640
  • 43 + 1054597 = 1054640
  • 109 + 1054531 = 1054640
  • 157 + 1054483 = 1054640
  • 163 + 1054477 = 1054640
  • 199 + 1054441 = 1054640
  • 211 + 1054429 = 1054640

Showing the first eight; more decompositions exist.

Hex color
#1017B0
RGB(16, 23, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.23.176.

Address
0.16.23.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.23.176

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 4640 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4640-05-01 (DMMYYYY (Euro, single-digit day))
  • 4640-10-05 (MMDYYYY (US, single-digit day))
  • 4640-05-10 (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 1,054,640 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°.