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118,728

118,728 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.).

118,728 (one hundred eighteen thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 17 × 97. Its proper divisors sum to 225,252, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CFC8.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
896
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
827,811
Recamán's sequence
a(242,640) = 118,728
Square (n²)
14,096,337,984
Cube (n³)
1,673,630,016,164,352
Divisor count
48
σ(n) — sum of divisors
343,980
φ(n) — Euler's totient
36,864
Sum of prime factors
126

Primality

Prime factorization: 2 3 × 3 2 × 17 × 97

Nearest primes: 118,717 (−11) · 118,739 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 17 · 18 · 24 · 34 · 36 · 51 · 68 · 72 · 97 · 102 · 136 · 153 · 194 · 204 · 291 · 306 · 388 · 408 · 582 · 612 · 776 · 873 · 1164 · 1224 · 1649 · 1746 · 2328 · 3298 · 3492 · 4947 · 6596 · 6984 · 9894 · 13192 · 14841 · 19788 · 29682 · 39576 · 59364 (half) · 118728
Aliquot sum (sum of proper divisors): 225,252
Factor pairs (a × b = 118,728)
1 × 118728
2 × 59364
3 × 39576
4 × 29682
6 × 19788
8 × 14841
9 × 13192
12 × 9894
17 × 6984
18 × 6596
24 × 4947
34 × 3492
36 × 3298
51 × 2328
68 × 1746
72 × 1649
97 × 1224
102 × 1164
136 × 873
153 × 776
194 × 612
204 × 582
291 × 408
306 × 388
First multiples
118,728 · 237,456 (double) · 356,184 · 474,912 · 593,640 · 712,368 · 831,096 · 949,824 · 1,068,552 · 1,187,280

Sums & aliquot sequence

As a sum of two squares: 42² + 342² = 198² + 282²
As consecutive integers: 39,575 + 39,576 + 39,577 13,188 + 13,189 + … + 13,196 7,413 + 7,414 + … + 7,428 6,976 + 6,977 + … + 6,992
Aliquot sequence: 118,728 225,252 344,226 352,158 352,170 800,982 1,403,178 1,804,182 1,818,138 2,401,638 2,654,682 2,654,694 4,146,474 4,146,486 4,507,338 5,648,694 5,648,706 — unresolved within range

Continued fraction of √n

√118,728 = [344; (1, 1, 3, 9, 3, 1, 1, 688)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand seven hundred twenty-eight
Ordinal
118728th
Binary
11100111111001000
Octal
347710
Hexadecimal
0x1CFC8
Base64
Ac/I
One's complement
4,294,848,567 (32-bit)
Scientific notation
1.18728 × 10⁵
As a duration
118,728 s = 1 day, 8 hours, 58 minutes, 48 seconds
In other bases
ternary (3) 20000212100
quaternary (4) 130333020
quinary (5) 12244403
senary (6) 2313400
septenary (7) 1003101
nonary (9) 200770
undecimal (11) 81225
duodecimal (12) 58860
tridecimal (13) 4206c
tetradecimal (14) 313a8
pentadecimal (15) 252a3

As an angle

118,728° = 329 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριηψκηʹ
Mayan (base 20)
𝋮·𝋰·𝋰·𝋨
Chinese
一十一萬八千七百二十八
Chinese (financial)
壹拾壹萬捌仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١١٨٧٢٨ Devanagari ११८७२८ Bengali ১১৮৭২৮ Tamil ௧௧௮௭௨௮ Thai ๑๑๘๗๒๘ Tibetan ༡༡༨༧༢༨ Khmer ១១៨៧២៨ Lao ໑໑໘໗໒໘ Burmese ၁၁၈၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118728, here are decompositions:

  • 11 + 118717 = 118728
  • 19 + 118709 = 118728
  • 37 + 118691 = 118728
  • 41 + 118687 = 118728
  • 47 + 118681 = 118728
  • 59 + 118669 = 118728
  • 67 + 118661 = 118728
  • 107 + 118621 = 118728

Showing the first eight; more decompositions exist.

Hex color
#01CFC8
RGB(1, 207, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.207.200.

Address
0.1.207.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.207.200

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 118,728 and was likely granted around 1871.

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°.