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1,033,420

1,033,420 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.).

1,033,420 (one million thirty-three thousand four hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 163 × 317. Its proper divisors sum to 1,156,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFC4CC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
243,301
Square (n²)
1,067,956,896,400
Cube (n³)
1,103,648,015,877,688,000
Divisor count
24
σ(n) — sum of divisors
2,190,384
φ(n) — Euler's totient
409,536
Sum of prime factors
489

Primality

Prime factorization: 2 2 × 5 × 163 × 317

Nearest primes: 1,033,393 (−27) · 1,033,421 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 163 · 317 · 326 · 634 · 652 · 815 · 1268 · 1585 · 1630 · 3170 · 3260 · 6340 · 51671 · 103342 · 206684 · 258355 · 516710 (half) · 1033420
Aliquot sum (sum of proper divisors): 1,156,964
Factor pairs (a × b = 1,033,420)
1 × 1033420
2 × 516710
4 × 258355
5 × 206684
10 × 103342
20 × 51671
163 × 6340
317 × 3260
326 × 3170
634 × 1630
652 × 1585
815 × 1268
First multiples
1,033,420 · 2,066,840 (double) · 3,100,260 · 4,133,680 · 5,167,100 · 6,200,520 · 7,233,940 · 8,267,360 · 9,300,780 · 10,334,200

Sums & aliquot sequence

As consecutive integers: 206,682 + 206,683 + 206,684 + 206,685 + 206,686 129,174 + 129,175 + … + 129,181 25,816 + 25,817 + … + 25,855 6,259 + 6,260 + … + 6,421
Aliquot sequence: 1,033,420 1,156,964 867,730 776,750 795,730 747,014 455,674 244,634 154,660 228,380 277,300 347,660 382,468 286,858 257,462 161,578 80,792 — unresolved within range

Continued fraction of √n

√1,033,420 = [1016; (1, 1, 2, 1, 15, 1, 2, 6, 1, 8, 1, 1, 4, 1, 1, 1, 1, 4, 1, 2, 1, 2, 6, 5, …)]

Representations

In words
one million thirty-three thousand four hundred twenty
Ordinal
1033420th
Binary
11111100010011001100
Octal
3742314
Hexadecimal
0xFC4CC
Base64
D8TM
One's complement
4,293,933,875 (32-bit)
Scientific notation
1.03342 × 10⁶
As a duration
1,033,420 s = 11 days, 23 hours, 3 minutes, 40 seconds
In other bases
ternary (3) 1221111120211
quaternary (4) 3330103030
quinary (5) 231032140
senary (6) 34052204
septenary (7) 11532613
nonary (9) 1844524
undecimal (11) 646473
duodecimal (12) 41a064
tridecimal (13) 2a24bb
tetradecimal (14) 1cc87a
pentadecimal (15) 1562ea

As an angle

1,033,420° = 2,870 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零三萬三千四百二十
Chinese (financial)
壹佰零參萬參仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٠٣٣٤٢٠ Devanagari १०३३४२० Bengali ১০৩৩৪২০ Tamil ௧௦௩௩௪௨௦ Thai ๑๐๓๓๔๒๐ Tibetan ༡༠༣༣༤༢༠ Khmer ១០៣៣៤២០ Lao ໑໐໓໓໔໒໐ Burmese ၁၀၃၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1033420, here are decompositions:

  • 71 + 1033349 = 1033420
  • 83 + 1033337 = 1033420
  • 107 + 1033313 = 1033420
  • 131 + 1033289 = 1033420
  • 149 + 1033271 = 1033420
  • 197 + 1033223 = 1033420
  • 239 + 1033181 = 1033420
  • 281 + 1033139 = 1033420

Showing the first eight; more decompositions exist.

Hex color
#0FC4CC
RGB(15, 196, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.196.204.

Address
0.15.196.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.196.204

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 3, 3420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3420-03-01 (DMMYYYY (Euro, single-digit day))
  • 3420-10-03 (MMDYYYY (US, single-digit day))
  • 3420-03-10 (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 1,033,420 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°.