number.wiki
Live analysis

1,052,420

1,052,420 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.).

1,052,420 (one million fifty-two thousand four hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 101 × 521. Its proper divisors sum to 1,183,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100F04.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
242,501
Square (n²)
1,107,587,856,400
Cube (n³)
1,165,647,611,832,488,000
Divisor count
24
σ(n) — sum of divisors
2,236,248
φ(n) — Euler's totient
416,000
Sum of prime factors
631

Primality

Prime factorization: 2 2 × 5 × 101 × 521

Nearest primes: 1,052,417 (−3) · 1,052,431 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 101 · 202 · 404 · 505 · 521 · 1010 · 1042 · 2020 · 2084 · 2605 · 5210 · 10420 · 52621 · 105242 · 210484 · 263105 · 526210 (half) · 1052420
Aliquot sum (sum of proper divisors): 1,183,828
Factor pairs (a × b = 1,052,420)
1 × 1052420
2 × 526210
4 × 263105
5 × 210484
10 × 105242
20 × 52621
101 × 10420
202 × 5210
404 × 2605
505 × 2084
521 × 2020
1010 × 1042
First multiples
1,052,420 · 2,104,840 (double) · 3,157,260 · 4,209,680 · 5,262,100 · 6,314,520 · 7,366,940 · 8,419,360 · 9,471,780 · 10,524,200

Sums & aliquot sequence

As a sum of two squares: 62² + 1,024² = 142² + 1,016² = 496² + 898² = 664² + 782²
As consecutive integers: 210,482 + 210,483 + 210,484 + 210,485 + 210,486 131,549 + 131,550 + … + 131,556 26,291 + 26,292 + … + 26,330 10,370 + 10,371 + … + 10,470
Aliquot sequence: 1,052,420 1,183,828 954,924 1,496,532 2,015,340 3,627,780 7,313,724 14,181,204 18,908,300 23,911,876 17,933,914 8,988,506 4,519,354 3,278,534 2,341,834 1,519,688 1,329,742 — unresolved within range

Continued fraction of √n

√1,052,420 = [1025; (1, 7, 66, 16, 1, 1, 7, 2, 512, 2, 7, 1, 1, 16, 66, 7, 1, 2050)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one million fifty-two thousand four hundred twenty
Ordinal
1052420th
Binary
100000000111100000100
Octal
4007404
Hexadecimal
0x100F04
Base64
EA8E
One's complement
4,293,914,875 (32-bit)
Scientific notation
1.05242 × 10⁶
As a duration
1,052,420 s = 12 days, 4 hours, 20 minutes, 20 seconds
In other bases
ternary (3) 1222110122112
quaternary (4) 10000330010
quinary (5) 232134140
senary (6) 34320152
septenary (7) 11642165
nonary (9) 1873575
undecimal (11) 659776
duodecimal (12) 429058
tridecimal (13) 2ab045
tetradecimal (14) 1d576c
pentadecimal (15) 15bc65

As an angle

1,052,420° = 2,923 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬二千四百二十
Chinese (financial)
壹佰零伍萬貳仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٢٤٢٠ Devanagari १०५२४२० Bengali ১০৫২৪২০ Tamil ௧௦௫௨௪௨௦ Thai ๑๐๕๒๔๒๐ Tibetan ༡༠༥༢༤༢༠ Khmer ១០៥២៤២០ Lao ໑໐໕໒໔໒໐ Burmese ၁၀၅၂၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052420, here are decompositions:

  • 3 + 1052417 = 1052420
  • 7 + 1052413 = 1052420
  • 139 + 1052281 = 1052420
  • 151 + 1052269 = 1052420
  • 199 + 1052221 = 1052420
  • 223 + 1052197 = 1052420
  • 241 + 1052179 = 1052420
  • 283 + 1052137 = 1052420

Showing the first eight; more decompositions exist.

Hex color
#100F04
RGB(16, 15, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.15.4.

Address
0.16.15.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.15.4

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 2420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2420-05-01 (DMMYYYY (Euro, single-digit day))
  • 2420-10-05 (MMDYYYY (US, single-digit day))
  • 2420-05-10 (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 1,052,420 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°.