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146,016

146,016 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.).

146,016 (one hundred forty-six thousand sixteen) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3³ × 13². Its proper divisors sum to 315,144, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23A60.

Abundant Number Achilles Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Refactorable Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
610,641
Recamán's sequence
a(216,384) = 146,016
Square (n²)
21,320,672,256
Cube (n³)
3,113,159,280,132,096
Divisor count
72
σ(n) — sum of divisors
461,160
φ(n) — Euler's totient
44,928
Sum of prime factors
45

Primality

Prime factorization: 2 5 × 3 3 × 13 2

Nearest primes: 146,011 (−5) · 146,021 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 16 · 18 · 24 · 26 · 27 · 32 · 36 · 39 · 48 · 52 · 54 · 72 · 78 · 96 · 104 · 108 · 117 · 144 · 156 · 169 · 208 · 216 · 234 · 288 · 312 · 338 · 351 · 416 · 432 · 468 · 507 · 624 · 676 · 702 · 864 · 936 · 1014 · 1248 · 1352 · 1404 · 1521 · 1872 · 2028 · 2704 · 2808 · 3042 · 3744 · 4056 · 4563 · 5408 · 5616 · 6084 · 8112 · 9126 · 11232 · 12168 · 16224 · 18252 · 24336 · 36504 · 48672 · 73008 (half) · 146016
Aliquot sum (sum of proper divisors): 315,144
Factor pairs (a × b = 146,016)
1 × 146016
2 × 73008
3 × 48672
4 × 36504
6 × 24336
8 × 18252
9 × 16224
12 × 12168
13 × 11232
16 × 9126
18 × 8112
24 × 6084
26 × 5616
27 × 5408
32 × 4563
36 × 4056
39 × 3744
48 × 3042
52 × 2808
54 × 2704
72 × 2028
78 × 1872
96 × 1521
104 × 1404
108 × 1352
117 × 1248
144 × 1014
156 × 936
169 × 864
208 × 702
216 × 676
234 × 624
288 × 507
312 × 468
338 × 432
351 × 416
First multiples
146,016 · 292,032 (double) · 438,048 · 584,064 · 730,080 · 876,096 · 1,022,112 · 1,168,128 · 1,314,144 · 1,460,160

Sums & aliquot sequence

As consecutive integers: 48,671 + 48,672 + 48,673 16,220 + 16,221 + … + 16,228 11,226 + 11,227 + … + 11,238 5,395 + 5,396 + … + 5,421
Aliquot sequence: 146,016 315,144 560,856 841,344 1,720,896 2,832,816 5,531,728 5,186,026 2,609,018 1,410,394 705,200 1,070,728 1,055,252 1,031,308 831,924 1,325,196 2,062,188 — unresolved within range

Continued fraction of √n

√146,016 = [382; (8, 3, 3, 1, 2, 7, 3, 1, 1, 3, 1, 20, 2, 4, 3, 2, 7, 1, 1, 1, 1, 2, 1, 3, …)]

Representations

In words
one hundred forty-six thousand sixteen
Ordinal
146016th
Binary
100011101001100000
Octal
435140
Hexadecimal
0x23A60
Base64
Ajpg
One's complement
4,294,821,279 (32-bit)
Scientific notation
1.46016 × 10⁵
As a duration
146,016 s = 1 day, 16 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 21102022000
quaternary (4) 203221200
quinary (5) 14133031
senary (6) 3044000
septenary (7) 1145463
nonary (9) 242260
undecimal (11) 9a782
duodecimal (12) 70600
tridecimal (13) 51600
tetradecimal (14) 3b2da
pentadecimal (15) 2d3e6

As an angle

146,016° = 405 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛιϛʹ
Mayan (base 20)
𝋲·𝋥·𝋠·𝋰
Chinese
一十四萬六千零一十六
Chinese (financial)
壹拾肆萬陸仟零壹拾陸
In other modern scripts
Eastern Arabic ١٤٦٠١٦ Devanagari १४६०१६ Bengali ১৪৬০১৬ Tamil ௧௪௬௦௧௬ Thai ๑๔๖๐๑๖ Tibetan ༡༤༦༠༡༦ Khmer ១៤៦០១៦ Lao ໑໔໖໐໑໖ Burmese ၁၄၆၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146016, here are decompositions:

  • 5 + 146011 = 146016
  • 7 + 146009 = 146016
  • 29 + 145987 = 146016
  • 47 + 145969 = 146016
  • 53 + 145963 = 146016
  • 67 + 145949 = 146016
  • 83 + 145933 = 146016
  • 113 + 145903 = 146016

Showing the first eight; more decompositions exist.

Unicode codepoint
𣩠
CJK Unified Ideograph-23A60
U+23A60
Other letter (Lo)

UTF-8 encoding: F0 A3 A9 A0 (4 bytes).

Hex color
#023A60
RGB(2, 58, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.96.

Address
0.2.58.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.96

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 146,016 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°.