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146,120

146,120 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.).

146,120 (one hundred forty-six thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 13 × 281. Its proper divisors sum to 209,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23AC8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
21,641
Recamán's sequence
a(216,176) = 146,120
Square (n²)
21,351,054,400
Cube (n³)
3,119,816,068,928,000
Divisor count
32
σ(n) — sum of divisors
355,320
φ(n) — Euler's totient
53,760
Sum of prime factors
305

Primality

Prime factorization: 2 3 × 5 × 13 × 281

Nearest primes: 146,117 (−3) · 146,141 (+21)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 13 · 20 · 26 · 40 · 52 · 65 · 104 · 130 · 260 · 281 · 520 · 562 · 1124 · 1405 · 2248 · 2810 · 3653 · 5620 · 7306 · 11240 · 14612 · 18265 · 29224 · 36530 · 73060 (half) · 146120
Aliquot sum (sum of proper divisors): 209,200
Factor pairs (a × b = 146,120)
1 × 146120
2 × 73060
4 × 36530
5 × 29224
8 × 18265
10 × 14612
13 × 11240
20 × 7306
26 × 5620
40 × 3653
52 × 2810
65 × 2248
104 × 1405
130 × 1124
260 × 562
281 × 520
First multiples
146,120 · 292,240 (double) · 438,360 · 584,480 · 730,600 · 876,720 · 1,022,840 · 1,168,960 · 1,315,080 · 1,461,200

Sums & aliquot sequence

As a sum of two squares: 14² + 382² = 134² + 358² = 206² + 322² = 218² + 314²
As consecutive integers: 29,222 + 29,223 + 29,224 + 29,225 + 29,226 11,234 + 11,235 + … + 11,246 9,125 + 9,126 + … + 9,140 2,216 + 2,217 + … + 2,280
Aliquot sequence: 146,120 209,200 294,364 294,420 649,068 1,082,004 2,068,332 3,447,444 7,813,932 13,770,372 27,023,388 45,039,204 89,582,556 151,692,324 257,958,876 429,931,684 543,194,204 — unresolved within range

Continued fraction of √n

√146,120 = [382; (3, 1, 8, 1, 12, 1, 3, 13, 2, 1, 1, 15, 191, 15, 1, 1, 2, 13, 3, 1, 12, 1, 8, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand one hundred twenty
Ordinal
146120th
Binary
100011101011001000
Octal
435310
Hexadecimal
0x23AC8
Base64
AjrI
One's complement
4,294,821,175 (32-bit)
Scientific notation
1.4612 × 10⁵
As a duration
146,120 s = 1 day, 16 hours, 35 minutes, 20 seconds
In other bases
ternary (3) 21102102212
quaternary (4) 203223020
quinary (5) 14133440
senary (6) 3044252
septenary (7) 1146002
nonary (9) 242385
undecimal (11) 9a867
duodecimal (12) 70688
tridecimal (13) 51680
tetradecimal (14) 3b372
pentadecimal (15) 2d465

As an angle

146,120° = 405 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρμϛρκʹ
Mayan (base 20)
𝋲·𝋥·𝋦·𝋠
Chinese
一十四萬六千一百二十
Chinese (financial)
壹拾肆萬陸仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٤٦١٢٠ Devanagari १४६१२० Bengali ১৪৬১২০ Tamil ௧௪௬௧௨௦ Thai ๑๔๖๑๒๐ Tibetan ༡༤༦༡༢༠ Khmer ១៤៦១២០ Lao ໑໔໖໑໒໐ Burmese ၁၄၆၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146120, here are decompositions:

  • 3 + 146117 = 146120
  • 43 + 146077 = 146120
  • 61 + 146059 = 146120
  • 97 + 146023 = 146120
  • 109 + 146011 = 146120
  • 151 + 145969 = 146120
  • 157 + 145963 = 146120
  • 223 + 145897 = 146120

Showing the first eight; more decompositions exist.

Unicode codepoint
𣫈
CJK Unified Ideograph-23Ac8
U+23AC8
Other letter (Lo)

UTF-8 encoding: F0 A3 AB 88 (4 bytes).

Hex color
#023AC8
RGB(2, 58, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.200.

Address
0.2.58.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.200

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 146,120 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.