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145,728

145,728 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.).

145,728 (one hundred forty-five thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 11 × 23. Its proper divisors sum to 329,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23940.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,240
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
827,541
Recamán's sequence
a(216,960) = 145,728
Square (n²)
21,236,649,984
Cube (n³)
3,094,774,528,868,352
Divisor count
84
σ(n) — sum of divisors
475,488
φ(n) — Euler's totient
42,240
Sum of prime factors
52

Primality

Prime factorization: 2 6 × 3 2 × 11 × 23

Nearest primes: 145,723 (−5) · 145,753 (+25)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 16 · 18 · 22 · 23 · 24 · 32 · 33 · 36 · 44 · 46 · 48 · 64 · 66 · 69 · 72 · 88 · 92 · 96 · 99 · 132 · 138 · 144 · 176 · 184 · 192 · 198 · 207 · 253 · 264 · 276 · 288 · 352 · 368 · 396 · 414 · 506 · 528 · 552 · 576 · 704 · 736 · 759 · 792 · 828 · 1012 · 1056 · 1104 · 1472 · 1518 · 1584 · 1656 · 2024 · 2112 · 2208 · 2277 · 3036 · 3168 · 3312 · 4048 · 4416 · 4554 · 6072 · 6336 · 6624 · 8096 · 9108 · 12144 · 13248 · 16192 · 18216 · 24288 · 36432 · 48576 · 72864 (half) · 145728
Aliquot sum (sum of proper divisors): 329,760
Factor pairs (a × b = 145,728)
1 × 145728
2 × 72864
3 × 48576
4 × 36432
6 × 24288
8 × 18216
9 × 16192
11 × 13248
12 × 12144
16 × 9108
18 × 8096
22 × 6624
23 × 6336
24 × 6072
32 × 4554
33 × 4416
36 × 4048
44 × 3312
46 × 3168
48 × 3036
64 × 2277
66 × 2208
69 × 2112
72 × 2024
88 × 1656
92 × 1584
96 × 1518
99 × 1472
132 × 1104
138 × 1056
144 × 1012
176 × 828
184 × 792
192 × 759
198 × 736
207 × 704
253 × 576
264 × 552
276 × 528
288 × 506
352 × 414
368 × 396
First multiples
145,728 · 291,456 (double) · 437,184 · 582,912 · 728,640 · 874,368 · 1,020,096 · 1,165,824 · 1,311,552 · 1,457,280

Sums & aliquot sequence

As consecutive integers: 48,575 + 48,576 + 48,577 16,188 + 16,189 + … + 16,196 13,243 + 13,244 + … + 13,253 6,325 + 6,326 + … + 6,347
Aliquot sequence: 145,728 329,760 800,460 1,628,148 2,500,172 2,183,668 1,637,758 826,802 447,034 340,934 216,994 108,500 171,052 181,748 181,804 192,724 192,780 — unresolved within range

Continued fraction of √n

√145,728 = [381; (1, 2, 1, 8, 1, 2, 11, 1, 3, 2, 2, 1, 1, 2, 2, 1, 1, 14, 1, 189, 1, 14, 1, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand seven hundred twenty-eight
Ordinal
145728th
Binary
100011100101000000
Octal
434500
Hexadecimal
0x23940
Base64
AjlA
One's complement
4,294,821,567 (32-bit)
Scientific notation
1.45728 × 10⁵
As a duration
145,728 s = 1 day, 16 hours, 28 minutes, 48 seconds
In other bases
ternary (3) 21101220100
quaternary (4) 203211000
quinary (5) 14130403
senary (6) 3042400
septenary (7) 1144602
nonary (9) 241810
undecimal (11) 9a540
duodecimal (12) 70400
tridecimal (13) 5143b
tetradecimal (14) 3b172
pentadecimal (15) 2d2a3

As an angle

145,728° = 404 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμεψκηʹ
Mayan (base 20)
𝋲·𝋤·𝋦·𝋨
Chinese
一十四萬五千七百二十八
Chinese (financial)
壹拾肆萬伍仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٤٥٧٢٨ Devanagari १४५७२८ Bengali ১৪৫৭২৮ Tamil ௧௪௫௭௨௮ Thai ๑๔๕๗๒๘ Tibetan ༡༤༥༧༢༨ Khmer ១៤៥៧២៨ Lao ໑໔໕໗໒໘ Burmese ၁၄၅၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145728, here are decompositions:

  • 5 + 145723 = 145728
  • 7 + 145721 = 145728
  • 19 + 145709 = 145728
  • 41 + 145687 = 145728
  • 47 + 145681 = 145728
  • 67 + 145661 = 145728
  • 127 + 145601 = 145728
  • 139 + 145589 = 145728

Showing the first eight; more decompositions exist.

Unicode codepoint
𣥀
CJK Unified Ideograph-23940
U+23940
Other letter (Lo)

UTF-8 encoding: F0 A3 A5 80 (4 bytes).

Hex color
#023940
RGB(2, 57, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.57.64.

Address
0.2.57.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.57.64

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 145,728 and was likely granted around 1873.

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°.