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188,420

188,420 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.).

188,420 (one hundred eighty-eight thousand four hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 9,421. Its proper divisors sum to 207,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E004.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
24,881
Recamán's sequence
a(76,904) = 188,420
Square (n²)
35,502,096,400
Cube (n³)
6,689,305,003,688,000
Divisor count
12
σ(n) — sum of divisors
395,724
φ(n) — Euler's totient
75,360
Sum of prime factors
9,430

Primality

Prime factorization: 2 2 × 5 × 9421

Nearest primes: 188,417 (−3) · 188,431 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 9421 · 18842 · 37684 · 47105 · 94210 (half) · 188420
Aliquot sum (sum of proper divisors): 207,304
Factor pairs (a × b = 188,420)
1 × 188420
2 × 94210
4 × 47105
5 × 37684
10 × 18842
20 × 9421
First multiples
188,420 · 376,840 (double) · 565,260 · 753,680 · 942,100 · 1,130,520 · 1,318,940 · 1,507,360 · 1,695,780 · 1,884,200

Sums & aliquot sequence

As a sum of two squares: 8² + 434² = 254² + 352²
As consecutive integers: 37,682 + 37,683 + 37,684 + 37,685 + 37,686 23,549 + 23,550 + … + 23,556 4,691 + 4,692 + … + 4,730
Aliquot sequence: 188,420 → 207,304 → 181,406 → 90,706 → 93,614 → 46,810 → 40,742 → 25,114 → 13,946 → 8,134 → 6,230 → 6,730 → 5,402 → 3,034 → 1,754 → 880 → 1,352 — unresolved within range

Continued fraction of √n

√188,420 = [434; (13, 1, 1, 3, 2, 2, 1, 20, 2, 6, 1, 2, 5, 3, 1, 29, 5, 1, 2, 1, 1, 13, 1, 1, …)]

Representations

In words
one hundred eighty-eight thousand four hundred twenty
Ordinal
188420th
Binary
101110000000000100
Octal
560004
Hexadecimal
0x2E004
Base64
AuAE
One's complement
4,294,778,875 (32-bit)
Scientific notation
1.8842 × 10⁵
As a duration
188,420 s = 2 days, 4 hours, 20 minutes, 20 seconds
In other bases
ternary (3) 100120110112
quaternary (4) 232000010
quinary (5) 22012140
senary (6) 4012152
septenary (7) 1413221
nonary (9) 316415
undecimal (11) 119621
duodecimal (12) 91058
tridecimal (13) 679bb
tetradecimal (14) 4c948
pentadecimal (15) 3ac65

As an angle

188,420° = 523 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρπηυκʹ
Chinese
十八萬八千四百二十
Chinese (financial)
壹拾捌萬捌仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٨٨٤٢٠ Devanagari १८८४२० Bengali ১৮৮৪২০ Tamil ௧௮௮௪௨௦ Thai ๑๘๘๔๒๐ Tibetan ༡༨༨༤༢༠ Khmer ១៨៨៤២០ Lao ໑໘໘໔໒໐ Burmese ၁၈၈၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 188420, here are decompositions:

  • 3 + 188417 = 188420
  • 13 + 188407 = 188420
  • 19 + 188401 = 188420
  • 31 + 188389 = 188420
  • 61 + 188359 = 188420
  • 97 + 188323 = 188420
  • 103 + 188317 = 188420
  • 109 + 188311 = 188420

Showing the first eight; more decompositions exist.

Unicode codepoint
𮀄
CJK Unified Ideograph-2E004
U+2E004
Other letter (Lo)

UTF-8 encoding: F0 AE 80 84 (4 bytes).

Hex color
#02E004
RGB(2, 224, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.224.4.

Address
0.2.224.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.224.4

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

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 188,420 and was likely granted around 1875.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 188420 first appears in π at position 719,583 of the decimal expansion (the 719,583ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.