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188,720

188,720 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.).

188,720 (one hundred eighty-eight thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 337. Its proper divisors sum to 314,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E130.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
27,881
Recamán's sequence
a(74,632) = 188,720
Square (n²)
35,615,238,400
Cube (n³)
6,721,307,790,848,000
Divisor count
40
σ(n) — sum of divisors
502,944
φ(n) — Euler's totient
64,512
Sum of prime factors
357

Primality

Prime factorization: 2 4 × 5 × 7 × 337

Nearest primes: 188,719 (−1) · 188,729 (+9)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 280 · 337 · 560 · 674 · 1348 · 1685 · 2359 · 2696 · 3370 · 4718 · 5392 · 6740 · 9436 · 11795 · 13480 · 18872 · 23590 · 26960 · 37744 · 47180 · 94360 (half) · 188720
Aliquot sum (sum of proper divisors): 314,224
Factor pairs (a × b = 188,720)
1 × 188720
2 × 94360
4 × 47180
5 × 37744
7 × 26960
8 × 23590
10 × 18872
14 × 13480
16 × 11795
20 × 9436
28 × 6740
35 × 5392
40 × 4718
56 × 3370
70 × 2696
80 × 2359
112 × 1685
140 × 1348
280 × 674
337 × 560
First multiples
188,720 · 377,440 (double) · 566,160 · 754,880 · 943,600 · 1,132,320 · 1,321,040 · 1,509,760 · 1,698,480 · 1,887,200

Sums & aliquot sequence

As consecutive integers: 37,742 + 37,743 + 37,744 + 37,745 + 37,746 26,957 + 26,958 + … + 26,963 5,882 + 5,883 + … + 5,913 5,375 + 5,376 + … + 5,409
Aliquot sequence: 188,720 → 314,224 → 310,736 → 291,346 → 252,974 → 126,490 → 155,750 → 181,210 → 144,986 → 72,496 → 74,816 → 95,872 → 124,448 → 120,622 → 64,850 → 55,864 → 48,896 — unresolved within range

Continued fraction of √n

√188,720 = [434; (2, 2, 1, 1, 2, 4, 1, 3, 15, 1, 1, 6, 1, 1, 1, 53, 1, 1, 1, 6, 1, 1, 15, 3, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-eight thousand seven hundred twenty
Ordinal
188720th
Binary
101110000100110000
Octal
560460
Hexadecimal
0x2E130
Base64
AuEw
One's complement
4,294,778,575 (32-bit)
Scientific notation
1.8872 × 10⁵
As a duration
188,720 s = 2 days, 4 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 100120212122
quaternary (4) 232010300
quinary (5) 22014340
senary (6) 4013412
septenary (7) 1414130
nonary (9) 316778
undecimal (11) 119874
duodecimal (12) 91268
tridecimal (13) 67b8c
tetradecimal (14) 4cac0
pentadecimal (15) 3adb5

As an angle

188,720° = 524 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρπηψκʹ
Chinese
十八萬八千七百二十
Chinese (financial)
壹拾捌萬捌仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٨٨٧٢٠ Devanagari १८८७२० Bengali ১৮৮৭২০ Tamil ௧௮௮௭௨௦ Thai ๑๘๘๗๒๐ Tibetan ༡༨༨༧༢༠ Khmer ១៨៨៧២០ Lao ໑໘໘໗໒໐ Burmese ၁၈၈၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 188720, here are decompositions:

  • 13 + 188707 = 188720
  • 19 + 188701 = 188720
  • 43 + 188677 = 188720
  • 67 + 188653 = 188720
  • 157 + 188563 = 188720
  • 193 + 188527 = 188720
  • 229 + 188491 = 188720
  • 277 + 188443 = 188720

Showing the first eight; more decompositions exist.

Unicode codepoint
𮄰
CJK Unified Ideograph-2E130
U+2E130
Other letter (Lo)

UTF-8 encoding: F0 AE 84 B0 (4 bytes).

Hex color
#02E130
RGB(2, 225, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.225.48.

Address
0.2.225.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.225.48

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 188,720 and was likely granted around 1875.

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°.