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145,320

145,320 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.).

145,320 (one hundred forty-five thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 7 × 173. Its proper divisors sum to 355,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x237A8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
23,541
Recamán's sequence
a(217,776) = 145,320
Square (n²)
21,117,902,400
Cube (n³)
3,068,853,576,768,000
Divisor count
64
σ(n) — sum of divisors
501,120
φ(n) — Euler's totient
33,024
Sum of prime factors
194

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 173

Nearest primes: 145,307 (−13) · 145,349 (+29)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 56 · 60 · 70 · 84 · 105 · 120 · 140 · 168 · 173 · 210 · 280 · 346 · 420 · 519 · 692 · 840 · 865 · 1038 · 1211 · 1384 · 1730 · 2076 · 2422 · 2595 · 3460 · 3633 · 4152 · 4844 · 5190 · 6055 · 6920 · 7266 · 9688 · 10380 · 12110 · 14532 · 18165 · 20760 · 24220 · 29064 · 36330 · 48440 · 72660 (half) · 145320
Aliquot sum (sum of proper divisors): 355,800
Factor pairs (a × b = 145,320)
1 × 145320
2 × 72660
3 × 48440
4 × 36330
5 × 29064
6 × 24220
7 × 20760
8 × 18165
10 × 14532
12 × 12110
14 × 10380
15 × 9688
20 × 7266
21 × 6920
24 × 6055
28 × 5190
30 × 4844
35 × 4152
40 × 3633
42 × 3460
56 × 2595
60 × 2422
70 × 2076
84 × 1730
105 × 1384
120 × 1211
140 × 1038
168 × 865
173 × 840
210 × 692
280 × 519
346 × 420
First multiples
145,320 · 290,640 (double) · 435,960 · 581,280 · 726,600 · 871,920 · 1,017,240 · 1,162,560 · 1,307,880 · 1,453,200

Sums & aliquot sequence

As consecutive integers: 48,439 + 48,440 + 48,441 29,062 + 29,063 + 29,064 + 29,065 + 29,066 20,757 + 20,758 + … + 20,763 9,681 + 9,682 + … + 9,695
Aliquot sequence: 145,320 355,800 749,040 1,573,728 2,945,640 5,891,640 12,403,560 27,674,520 61,628,520 124,111,320 258,299,400 542,430,600 1,155,942,840 2,578,646,760 5,163,242,520 10,635,389,160 — keeps growing

Continued fraction of √n

√145,320 = [381; (4, 1, 3, 1, 5, 1, 1, 1, 1, 2, 31, 2, 1, 1, 1, 1, 5, 1, 3, 1, 4, 762)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand three hundred twenty
Ordinal
145320th
Binary
100011011110101000
Octal
433650
Hexadecimal
0x237A8
Base64
Ajeo
One's complement
4,294,821,975 (32-bit)
Scientific notation
1.4532 × 10⁵
As a duration
145,320 s = 1 day, 16 hours, 22 minutes
In other bases
ternary (3) 21101100020
quaternary (4) 203132220
quinary (5) 14122240
senary (6) 3040440
septenary (7) 1143450
nonary (9) 241306
undecimal (11) 9a1aa
duodecimal (12) 70120
tridecimal (13) 511b6
tetradecimal (14) 3ad60
pentadecimal (15) 2d0d0

As an angle

145,320° = 403 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμετκʹ
Mayan (base 20)
𝋲·𝋣·𝋦·𝋠
Chinese
一十四萬五千三百二十
Chinese (financial)
壹拾肆萬伍仟參佰貳拾
In other modern scripts
Eastern Arabic ١٤٥٣٢٠ Devanagari १४५३२० Bengali ১৪৫৩২০ Tamil ௧௪௫௩௨௦ Thai ๑๔๕๓๒๐ Tibetan ༡༤༥༣༢༠ Khmer ១៤៥៣២០ Lao ໑໔໕໓໒໐ Burmese ၁၄၅၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145320, here are decompositions:

  • 13 + 145307 = 145320
  • 17 + 145303 = 145320
  • 31 + 145289 = 145320
  • 37 + 145283 = 145320
  • 53 + 145267 = 145320
  • 61 + 145259 = 145320
  • 67 + 145253 = 145320
  • 101 + 145219 = 145320

Showing the first eight; more decompositions exist.

Unicode codepoint
𣞨
CJK Unified Ideograph-237A8
U+237A8
Other letter (Lo)

UTF-8 encoding: F0 A3 9E A8 (4 bytes).

Hex color
#0237A8
RGB(2, 55, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.55.168.

Address
0.2.55.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.55.168

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 145,320 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°.