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188,240

188,240 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.).

188,240 (one hundred eighty-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 13 × 181. Its proper divisors sum to 285,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2DF50.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number 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
42,881
Recamán's sequence
a(169,540) = 188,240
Square (n²)
35,434,297,600
Cube (n³)
6,670,152,180,224,000
Divisor count
40
σ(n) — sum of divisors
473,928
φ(n) — Euler's totient
69,120
Sum of prime factors
207

Primality

Prime factorization: 2 4 × 5 × 13 × 181

Nearest primes: 188,197 (−43) · 188,249 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 40 · 52 · 65 · 80 · 104 · 130 · 181 · 208 · 260 · 362 · 520 · 724 · 905 · 1040 · 1448 · 1810 · 2353 · 2896 · 3620 · 4706 · 7240 · 9412 · 11765 · 14480 · 18824 · 23530 · 37648 · 47060 · 94120 (half) · 188240
Aliquot sum (sum of proper divisors): 285,688
Factor pairs (a × b = 188,240)
1 × 188240
2 × 94120
4 × 47060
5 × 37648
8 × 23530
10 × 18824
13 × 14480
16 × 11765
20 × 9412
26 × 7240
40 × 4706
52 × 3620
65 × 2896
80 × 2353
104 × 1810
130 × 1448
181 × 1040
208 × 905
260 × 724
362 × 520
First multiples
188,240 · 376,480 (double) · 564,720 · 752,960 · 941,200 · 1,129,440 · 1,317,680 · 1,505,920 · 1,694,160 · 1,882,400

Sums & aliquot sequence

As a sum of two squares: 92² + 424² = 136² + 412² = 248² + 356² = 284² + 328²
As consecutive integers: 37,646 + 37,647 + 37,648 + 37,649 + 37,650 14,474 + 14,475 + … + 14,486 5,867 + 5,868 + … + 5,898 2,864 + 2,865 + … + 2,928
Aliquot sequence: 188,240 → 285,688 → 314,072 → 351,208 → 424,952 → 452,848 → 547,088 → 548,080 → 951,824 → 1,071,856 → 1,072,848 → 2,228,528 → 2,229,520 → 3,311,420 → 5,115,460 → 7,383,740 → 11,705,092 — unresolved within range

Continued fraction of √n

√188,240 = [433; (1, 6, 2, 13, 10, 1, 10, 13, 2, 6, 1, 866)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-eight thousand two hundred forty
Ordinal
188240th
Binary
101101111101010000
Octal
557520
Hexadecimal
0x2DF50
Base64
At9Q
One's complement
4,294,779,055 (32-bit)
Scientific notation
1.8824 × 10⁵
As a duration
188,240 s = 2 days, 4 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 100120012212
quaternary (4) 231331100
quinary (5) 22010430
senary (6) 4011252
septenary (7) 1412543
nonary (9) 316185
undecimal (11) 119478
duodecimal (12) 90b28
tridecimal (13) 678b0
tetradecimal (14) 4c85a
pentadecimal (15) 3ab95

As an angle

188,240° = 522 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρπησμʹ
Chinese
十八萬八千二百四十
Chinese (financial)
壹拾捌萬捌仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٨٨٢٤٠ Devanagari १८८२४० Bengali ১৮৮২৪০ Tamil ௧௮௮௨௪௦ Thai ๑๘๘๒๔๐ Tibetan ༡༨༨༢༤༠ Khmer ១៨៨២៤០ Lao ໑໘໘໒໔໐ Burmese ၁၈၈၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 188240, here are decompositions:

  • 43 + 188197 = 188240
  • 61 + 188179 = 188240
  • 97 + 188143 = 188240
  • 103 + 188137 = 188240
  • 211 + 188029 = 188240
  • 223 + 188017 = 188240
  • 229 + 188011 = 188240
  • 277 + 187963 = 188240

Showing the first eight; more decompositions exist.

Unicode codepoint
𭽐
CJK Unified Ideograph-2Df50
U+2DF50
Other letter (Lo)

UTF-8 encoding: F0 AD BD 90 (4 bytes).

Hex color
#02DF50
RGB(2, 223, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.223.80.

Address
0.2.223.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.223.80

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 188,240 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 188240 first appears in π at position 31,365 of the decimal expansion (the 31,365ordinal-suffix:th 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°.