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1,053,420

1,053,420 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.).

1,053,420 (one million fifty-three thousand four hundred twenty) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 97 × 181. Its proper divisors sum to 1,943,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1012EC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
243,501
Square (n²)
1,109,693,696,400
Cube (n³)
1,168,973,533,661,688,000
Divisor count
48
σ(n) — sum of divisors
2,996,448
φ(n) — Euler's totient
276,480
Sum of prime factors
290

Primality

Prime factorization: 2 2 × 3 × 5 × 97 × 181

Nearest primes: 1,053,407 (−13) · 1,053,421 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 97 · 181 · 194 · 291 · 362 · 388 · 485 · 543 · 582 · 724 · 905 · 970 · 1086 · 1164 · 1455 · 1810 · 1940 · 2172 · 2715 · 2910 · 3620 · 5430 · 5820 · 10860 · 17557 · 35114 · 52671 · 70228 · 87785 · 105342 · 175570 · 210684 · 263355 · 351140 · 526710 (half) · 1053420
Aliquot sum (sum of proper divisors): 1,943,028
Factor pairs (a × b = 1,053,420)
1 × 1053420
2 × 526710
3 × 351140
4 × 263355
5 × 210684
6 × 175570
10 × 105342
12 × 87785
15 × 70228
20 × 52671
30 × 35114
60 × 17557
97 × 10860
181 × 5820
194 × 5430
291 × 3620
362 × 2910
388 × 2715
485 × 2172
543 × 1940
582 × 1810
724 × 1455
905 × 1164
970 × 1086
First multiples
1,053,420 · 2,106,840 (double) · 3,160,260 · 4,213,680 · 5,267,100 · 6,320,520 · 7,373,940 · 8,427,360 · 9,480,780 · 10,534,200

Sums & aliquot sequence

As consecutive integers: 351,139 + 351,140 + 351,141 210,682 + 210,683 + 210,684 + 210,685 + 210,686 131,674 + 131,675 + … + 131,681 70,221 + 70,222 + … + 70,235
Aliquot sequence: 1,053,420 1,943,028 3,152,972 2,383,468 2,033,084 1,524,820 2,103,980 2,314,420 2,600,084 1,964,224 2,022,560 2,756,116 2,505,644 2,110,156 1,710,164 1,282,630 1,076,090 — unresolved within range

Continued fraction of √n

√1,053,420 = [1026; (2, 1, 3, 7, 17, 8, 1, 9, 1, 1, 2, 2, 46, 4, 4, 15, 1, 2, 10, 5, 2, 1, 3, 8, …)]

Representations

In words
one million fifty-three thousand four hundred twenty
Ordinal
1053420th
Binary
100000001001011101100
Octal
4011354
Hexadecimal
0x1012EC
Base64
EBLs
One's complement
4,293,913,875 (32-bit)
Scientific notation
1.05342 × 10⁶
As a duration
1,053,420 s = 12 days, 4 hours, 37 minutes
In other bases
ternary (3) 1222112000120
quaternary (4) 10001023230
quinary (5) 232202140
senary (6) 34324540
septenary (7) 11645124
nonary (9) 1875016
undecimal (11) 65a4a5
duodecimal (12) 429750
tridecimal (13) 2ab634
tetradecimal (14) 1d5c84
pentadecimal (15) 15c1d0

As an angle

1,053,420° = 2,926 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬三千四百二十
Chinese (financial)
壹佰零伍萬參仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٣٤٢٠ Devanagari १०५३४२० Bengali ১০৫৩৪২০ Tamil ௧௦௫௩௪௨௦ Thai ๑๐๕๓๔๒๐ Tibetan ༡༠༥༣༤༢༠ Khmer ១០៥៣៤២០ Lao ໑໐໕໓໔໒໐ Burmese ၁၀၅၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053420, here are decompositions:

  • 13 + 1053407 = 1053420
  • 19 + 1053401 = 1053420
  • 37 + 1053383 = 1053420
  • 59 + 1053361 = 1053420
  • 73 + 1053347 = 1053420
  • 101 + 1053319 = 1053420
  • 127 + 1053293 = 1053420
  • 149 + 1053271 = 1053420

Showing the first eight; more decompositions exist.

Hex color
#1012EC
RGB(16, 18, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.18.236.

Address
0.16.18.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.18.236

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 3420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3420-05-01 (DMMYYYY (Euro, single-digit day))
  • 3420-10-05 (MMDYYYY (US, single-digit day))
  • 3420-05-10 (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 1,053,420 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°.