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1,018,420

1,018,420 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.).

1,018,420 (one million eighteen thousand four hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 13 × 3,917. Its proper divisors sum to 1,285,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8A34.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
248,101
Square (n²)
1,037,179,296,400
Cube (n³)
1,056,284,139,039,688,000
Divisor count
24
σ(n) — sum of divisors
2,303,784
φ(n) — Euler's totient
375,936
Sum of prime factors
3,939

Primality

Prime factorization: 2 2 × 5 × 13 × 3917

Nearest primes: 1,018,411 (−9) · 1,018,421 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 13 · 20 · 26 · 52 · 65 · 130 · 260 · 3917 · 7834 · 15668 · 19585 · 39170 · 50921 · 78340 · 101842 · 203684 · 254605 · 509210 (half) · 1018420
Aliquot sum (sum of proper divisors): 1,285,364
Factor pairs (a × b = 1,018,420)
1 × 1018420
2 × 509210
4 × 254605
5 × 203684
10 × 101842
13 × 78340
20 × 50921
26 × 39170
52 × 19585
65 × 15668
130 × 7834
260 × 3917
First multiples
1,018,420 · 2,036,840 (double) · 3,055,260 · 4,073,680 · 5,092,100 · 6,110,520 · 7,128,940 · 8,147,360 · 9,165,780 · 10,184,200

Sums & aliquot sequence

As a sum of two squares: 102² + 1,004² = 292² + 966² = 346² + 948² = 684² + 742²
As consecutive integers: 203,682 + 203,683 + 203,684 + 203,685 + 203,686 127,299 + 127,300 + … + 127,306 78,334 + 78,335 + … + 78,346 25,441 + 25,442 + … + 25,480
Aliquot sequence: 1,018,420 1,285,364 964,030 785,570 711,958 452,282 226,144 233,504 226,270 248,066 235,774 205,442 105,358 67,082 39,514 22,406 13,234 — unresolved within range

Continued fraction of √n

√1,018,420 = [1009; (5, 1, 20, 2, 2, 2, 1, 5, 1, 4, 1, 2, 1, 5, 1, 1, 4, 1, 1, 1, 1, 1, 4, 2, …)]

Representations

In words
one million eighteen thousand four hundred twenty
Ordinal
1018420th
Binary
11111000101000110100
Octal
3705064
Hexadecimal
0xF8A34
Base64
D4o0
One's complement
4,293,948,875 (32-bit)
Scientific notation
1.01842 × 10⁶
As a duration
1,018,420 s = 11 days, 18 hours, 53 minutes, 40 seconds
In other bases
ternary (3) 1220202000021
quaternary (4) 3320220310
quinary (5) 230042140
senary (6) 33454524
septenary (7) 11441104
nonary (9) 1822007
undecimal (11) 636177
duodecimal (12) 411444
tridecimal (13) 298720
tetradecimal (14) 1c7204
pentadecimal (15) 151b4a

As an angle

1,018,420° = 2,828 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬八千四百二十
Chinese (financial)
壹佰零壹萬捌仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٠١٨٤٢٠ Devanagari १०१८४२० Bengali ১০১৮৪২০ Tamil ௧௦௧௮௪௨௦ Thai ๑๐๑๘๔๒๐ Tibetan ༡༠༡༨༤༢༠ Khmer ១០១៨៤២០ Lao ໑໐໑໘໔໒໐ Burmese ၁၀၁၈၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1018420, here are decompositions:

  • 83 + 1018337 = 1018420
  • 107 + 1018313 = 1018420
  • 149 + 1018271 = 1018420
  • 167 + 1018253 = 1018420
  • 173 + 1018247 = 1018420
  • 197 + 1018223 = 1018420
  • 311 + 1018109 = 1018420
  • 401 + 1018019 = 1018420

Showing the first eight; more decompositions exist.

Hex color
#0F8A34
RGB(15, 138, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.138.52.

Address
0.15.138.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.138.52

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 8420 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 8420-10-01 (MMDYYYY (US, single-digit day))
  • 8420-01-10 (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 1,018,420 and was likely granted around 1911.

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°.