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146,320

146,320 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.).

146,320 (one hundred forty-six thousand three hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 31 × 59. Its proper divisors sum to 210,800, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23B90.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
23,641
Recamán's sequence
a(215,776) = 146,320
Square (n²)
21,409,542,400
Cube (n³)
3,132,644,243,968,000
Divisor count
40
σ(n) — sum of divisors
357,120
φ(n) — Euler's totient
55,680
Sum of prime factors
103

Primality

Prime factorization: 2 4 × 5 × 31 × 59

Nearest primes: 146,317 (−3) · 146,323 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 31 · 40 · 59 · 62 · 80 · 118 · 124 · 155 · 236 · 248 · 295 · 310 · 472 · 496 · 590 · 620 · 944 · 1180 · 1240 · 1829 · 2360 · 2480 · 3658 · 4720 · 7316 · 9145 · 14632 · 18290 · 29264 · 36580 · 73160 (half) · 146320
Aliquot sum (sum of proper divisors): 210,800
Factor pairs (a × b = 146,320)
1 × 146320
2 × 73160
4 × 36580
5 × 29264
8 × 18290
10 × 14632
16 × 9145
20 × 7316
31 × 4720
40 × 3658
59 × 2480
62 × 2360
80 × 1829
118 × 1240
124 × 1180
155 × 944
236 × 620
248 × 590
295 × 496
310 × 472
First multiples
146,320 · 292,640 (double) · 438,960 · 585,280 · 731,600 · 877,920 · 1,024,240 · 1,170,560 · 1,316,880 · 1,463,200

Sums & aliquot sequence

As consecutive integers: 29,262 + 29,263 + 29,264 + 29,265 + 29,266 4,705 + 4,706 + … + 4,735 4,557 + 4,558 + … + 4,588 2,451 + 2,452 + … + 2,509
Aliquot sequence: 146,320 210,800 342,736 343,728 894,288 1,494,448 1,648,208 1,649,200 3,271,120 4,585,520 6,681,616 7,404,784 7,405,776 17,989,424 17,990,416 22,007,024 25,406,608 — unresolved within range

Continued fraction of √n

√146,320 = [382; (1, 1, 13, 2, 2, 3, 1, 5, 1, 1, 4, 1, 1, 8, 1, 8, 1, 1, 4, 1, 1, 5, 1, 3, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand three hundred twenty
Ordinal
146320th
Binary
100011101110010000
Octal
435620
Hexadecimal
0x23B90
Base64
AjuQ
One's complement
4,294,820,975 (32-bit)
Scientific notation
1.4632 × 10⁵
As a duration
146,320 s = 1 day, 16 hours, 38 minutes, 40 seconds
In other bases
ternary (3) 21102201021
quaternary (4) 203232100
quinary (5) 14140240
senary (6) 3045224
septenary (7) 1146406
nonary (9) 242637
undecimal (11) 9aa29
duodecimal (12) 70814
tridecimal (13) 517a5
tetradecimal (14) 3b476
pentadecimal (15) 2d54a

As an angle

146,320° = 406 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρμϛτκʹ
Mayan (base 20)
𝋲·𝋥·𝋰·𝋠
Chinese
一十四萬六千三百二十
Chinese (financial)
壹拾肆萬陸仟參佰貳拾
In other modern scripts
Eastern Arabic ١٤٦٣٢٠ Devanagari १४६३२० Bengali ১৪৬৩২০ Tamil ௧௪௬௩௨௦ Thai ๑๔๖๓๒๐ Tibetan ༡༤༦༣༢༠ Khmer ១៤៦៣២០ Lao ໑໔໖໓໒໐ Burmese ၁၄၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146320, here are decompositions:

  • 3 + 146317 = 146320
  • 11 + 146309 = 146320
  • 23 + 146297 = 146320
  • 29 + 146291 = 146320
  • 47 + 146273 = 146320
  • 71 + 146249 = 146320
  • 107 + 146213 = 146320
  • 179 + 146141 = 146320

Showing the first eight; more decompositions exist.

Unicode codepoint
𣮐
CJK Unified Ideograph-23B90
U+23B90
Other letter (Lo)

UTF-8 encoding: F0 A3 AE 90 (4 bytes).

Hex color
#023B90
RGB(2, 59, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.144.

Address
0.2.59.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.144

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 146,320 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 146320 first appears in π at position 559,860 of the decimal expansion (the 559,860ordinal-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