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146,496

146,496 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.).

146,496 (one hundred forty-six thousand four hundred ninety-six) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 7 × 109. Its proper divisors sum to 300,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23C40.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
5,184
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
694,641
Recamán's sequence
a(215,424) = 146,496
Square (n²)
21,461,078,016
Cube (n³)
3,143,962,085,031,936
Divisor count
56
σ(n) — sum of divisors
447,040
φ(n) — Euler's totient
41,472
Sum of prime factors
131

Primality

Prime factorization: 2 6 × 3 × 7 × 109

Nearest primes: 146,477 (−19) · 146,513 (+17)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 32 · 42 · 48 · 56 · 64 · 84 · 96 · 109 · 112 · 168 · 192 · 218 · 224 · 327 · 336 · 436 · 448 · 654 · 672 · 763 · 872 · 1308 · 1344 · 1526 · 1744 · 2289 · 2616 · 3052 · 3488 · 4578 · 5232 · 6104 · 6976 · 9156 · 10464 · 12208 · 18312 · 20928 · 24416 · 36624 · 48832 · 73248 (half) · 146496
Aliquot sum (sum of proper divisors): 300,544
Factor pairs (a × b = 146,496)
1 × 146496
2 × 73248
3 × 48832
4 × 36624
6 × 24416
7 × 20928
8 × 18312
12 × 12208
14 × 10464
16 × 9156
21 × 6976
24 × 6104
28 × 5232
32 × 4578
42 × 3488
48 × 3052
56 × 2616
64 × 2289
84 × 1744
96 × 1526
109 × 1344
112 × 1308
168 × 872
192 × 763
218 × 672
224 × 654
327 × 448
336 × 436
First multiples
146,496 · 292,992 (double) · 439,488 · 585,984 · 732,480 · 878,976 · 1,025,472 · 1,171,968 · 1,318,464 · 1,464,960

Sums & aliquot sequence

As consecutive integers: 48,831 + 48,832 + 48,833 20,925 + 20,926 + … + 20,931 6,966 + 6,967 + … + 6,986 1,290 + 1,291 + … + 1,398
Aliquot sequence: 146,496 300,544 300,980 341,620 464,780 569,428 427,078 213,542 159,238 82,250 97,462 48,734 36,250 34,040 48,040 60,140 71,572 — unresolved within range

Continued fraction of √n

√146,496 = [382; (1, 2, 1, 29, 1, 6, 1, 2, 5, 191, 5, 2, 1, 6, 1, 29, 1, 2, 1, 764)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand four hundred ninety-six
Ordinal
146496th
Binary
100011110001000000
Octal
436100
Hexadecimal
0x23C40
Base64
AjxA
One's complement
4,294,820,799 (32-bit)
Scientific notation
1.46496 × 10⁵
As a duration
146,496 s = 1 day, 16 hours, 41 minutes, 36 seconds
In other bases
ternary (3) 21102221210
quaternary (4) 203301000
quinary (5) 14141441
senary (6) 3050120
septenary (7) 1150050
nonary (9) 242853
undecimal (11) a0079
duodecimal (12) 70940
tridecimal (13) 518ac
tetradecimal (14) 3b560
pentadecimal (15) 2d616

As an angle

146,496° = 406 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛυϟϛʹ
Mayan (base 20)
𝋲·𝋦·𝋤·𝋰
Chinese
一十四萬六千四百九十六
Chinese (financial)
壹拾肆萬陸仟肆佰玖拾陸
In other modern scripts
Eastern Arabic ١٤٦٤٩٦ Devanagari १४६४९६ Bengali ১৪৬৪৯৬ Tamil ௧௪௬௪௯௬ Thai ๑๔๖๔๙๖ Tibetan ༡༤༦༤༩༦ Khmer ១៤៦៤៩៦ Lao ໑໔໖໔໙໖ Burmese ၁၄၆၄၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146496, here are decompositions:

  • 19 + 146477 = 146496
  • 47 + 146449 = 146496
  • 59 + 146437 = 146496
  • 73 + 146423 = 146496
  • 79 + 146417 = 146496
  • 89 + 146407 = 146496
  • 107 + 146389 = 146496
  • 113 + 146383 = 146496

Showing the first eight; more decompositions exist.

Unicode codepoint
𣱀
CJK Unified Ideograph-23C40
U+23C40
Other letter (Lo)

UTF-8 encoding: F0 A3 B1 80 (4 bytes).

Hex color
#023C40
RGB(2, 60, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.64.

Address
0.2.60.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.64

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 146,496 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°.