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1,053,460

1,053,460 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.).

1,053,460 (one million fifty-three thousand four hundred sixty) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 52,673. Its proper divisors sum to 1,158,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101314.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
21 bits
Reversed
643,501
Square (n²)
1,109,777,971,600
Cube (n³)
1,169,106,701,961,736,000
Divisor count
12
σ(n) — sum of divisors
2,212,308
φ(n) — Euler's totient
421,376
Sum of prime factors
52,682

Primality

Prime factorization: 2 2 × 5 × 52673

Nearest primes: 1,053,449 (−11) · 1,053,461 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 52673 · 105346 · 210692 · 263365 · 526730 (half) · 1053460
Aliquot sum (sum of proper divisors): 1,158,848
Factor pairs (a × b = 1,053,460)
1 × 1053460
2 × 526730
4 × 263365
5 × 210692
10 × 105346
20 × 52673
First multiples
1,053,460 · 2,106,920 (double) · 3,160,380 · 4,213,840 · 5,267,300 · 6,320,760 · 7,374,220 · 8,427,680 · 9,481,140 · 10,534,600

Sums & aliquot sequence

As a sum of two squares: 28² + 1,026² = 638² + 804²
As consecutive integers: 210,690 + 210,691 + 210,692 + 210,693 + 210,694 131,679 + 131,680 + … + 131,686 26,317 + 26,318 + … + 26,356
Aliquot sequence: 1,053,460 1,158,848 1,264,312 1,483,208 1,297,822 648,914 463,534 235,514 117,760 177,008 218,800 307,828 244,304 229,066 121,178 60,592 73,824 — unresolved within range

Continued fraction of √n

√1,053,460 = [1026; (2, 1, 1, 1, 1, 1, 1, 1, 1, 4, 186, 2, 1, 1, 23, 1, 5, 5, 1, 16, 7, 1, 6, 2, …)]

Representations

In words
one million fifty-three thousand four hundred sixty
Ordinal
1053460th
Binary
100000001001100010100
Octal
4011424
Hexadecimal
0x101314
Base64
EBMU
One's complement
4,293,913,835 (32-bit)
Scientific notation
1.05346 × 10⁶
As a duration
1,053,460 s = 12 days, 4 hours, 37 minutes, 40 seconds
In other bases
ternary (3) 1222112002001
quaternary (4) 10001030110
quinary (5) 232202320
senary (6) 34325044
septenary (7) 11645212
nonary (9) 1875061
undecimal (11) 65a531
duodecimal (12) 429784
tridecimal (13) 2ab665
tetradecimal (14) 1d5cb2
pentadecimal (15) 15c20a

As an angle

1,053,460° = 2,926 × 360° + 100°
100° ≈ 1.745 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese
一百零五萬三千四百六十
Chinese (financial)
壹佰零伍萬參仟肆佰陸拾
In other modern scripts
Eastern Arabic ١٠٥٣٤٦٠ Devanagari १०५३४६० Bengali ১০৫৩৪৬০ Tamil ௧௦௫௩௪௬௦ Thai ๑๐๕๓๔๖๐ Tibetan ༡༠༥༣༤༦༠ Khmer ១០៥៣៤៦០ Lao ໑໐໕໓໔໖໐ Burmese ၁၀၅၃၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053460, here are decompositions:

  • 11 + 1053449 = 1053460
  • 53 + 1053407 = 1053460
  • 59 + 1053401 = 1053460
  • 113 + 1053347 = 1053460
  • 167 + 1053293 = 1053460
  • 197 + 1053263 = 1053460
  • 227 + 1053233 = 1053460
  • 263 + 1053197 = 1053460

Showing the first eight; more decompositions exist.

Hex color
#101314
RGB(16, 19, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.19.20.

Address
0.16.19.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.19.20

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 5, 3460 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3460-05-01 (DMMYYYY (Euro, single-digit day))
  • 3460-10-05 (MMDYYYY (US, single-digit day))
  • 3460-05-10 (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 1,053,460 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°.