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146,640

146,640 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.).

146,640 (one hundred forty-six thousand six hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 13 × 47. Its proper divisors sum to 353,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23CD0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
46,641
Recamán's sequence
a(215,136) = 146,640
Square (n²)
21,503,289,600
Cube (n³)
3,153,242,386,944,000
Divisor count
80
σ(n) — sum of divisors
499,968
φ(n) — Euler's totient
35,328
Sum of prime factors
76

Primality

Prime factorization: 2 4 × 3 × 5 × 13 × 47

Nearest primes: 146,639 (−1) · 146,647 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 39 · 40 · 47 · 48 · 52 · 60 · 65 · 78 · 80 · 94 · 104 · 120 · 130 · 141 · 156 · 188 · 195 · 208 · 235 · 240 · 260 · 282 · 312 · 376 · 390 · 470 · 520 · 564 · 611 · 624 · 705 · 752 · 780 · 940 · 1040 · 1128 · 1222 · 1410 · 1560 · 1833 · 1880 · 2256 · 2444 · 2820 · 3055 · 3120 · 3666 · 3760 · 4888 · 5640 · 6110 · 7332 · 9165 · 9776 · 11280 · 12220 · 14664 · 18330 · 24440 · 29328 · 36660 · 48880 · 73320 (half) · 146640
Aliquot sum (sum of proper divisors): 353,328
Factor pairs (a × b = 146,640)
1 × 146640
2 × 73320
3 × 48880
4 × 36660
5 × 29328
6 × 24440
8 × 18330
10 × 14664
12 × 12220
13 × 11280
15 × 9776
16 × 9165
20 × 7332
24 × 6110
26 × 5640
30 × 4888
39 × 3760
40 × 3666
47 × 3120
48 × 3055
52 × 2820
60 × 2444
65 × 2256
78 × 1880
80 × 1833
94 × 1560
104 × 1410
120 × 1222
130 × 1128
141 × 1040
156 × 940
188 × 780
195 × 752
208 × 705
235 × 624
240 × 611
260 × 564
282 × 520
312 × 470
376 × 390
First multiples
146,640 · 293,280 (double) · 439,920 · 586,560 · 733,200 · 879,840 · 1,026,480 · 1,173,120 · 1,319,760 · 1,466,400

Sums & aliquot sequence

As consecutive integers: 48,879 + 48,880 + 48,881 29,326 + 29,327 + 29,328 + 29,329 + 29,330 11,274 + 11,275 + … + 11,286 9,769 + 9,770 + … + 9,783
Aliquot sequence: 146,640 353,328 615,360 1,341,456 2,124,096 4,362,048 8,142,626 4,789,834 3,421,334 2,443,834 1,221,920 2,080,288 2,746,016 4,366,432 5,606,720 9,657,664 9,506,890 — unresolved within range

Continued fraction of √n

√146,640 = [382; (1, 14, 1, 1, 1, 2, 2, 11, 1, 1, 4, 1, 18, 1, 4, 1, 1, 11, 2, 2, 1, 1, 1, 14, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand six hundred forty
Ordinal
146640th
Binary
100011110011010000
Octal
436320
Hexadecimal
0x23CD0
Base64
AjzQ
One's complement
4,294,820,655 (32-bit)
Scientific notation
1.4664 × 10⁵
As a duration
146,640 s = 1 day, 16 hours, 44 minutes
In other bases
ternary (3) 21110011010
quaternary (4) 203303100
quinary (5) 14143030
senary (6) 3050520
septenary (7) 1150344
nonary (9) 243133
undecimal (11) a019a
duodecimal (12) 70a40
tridecimal (13) 51990
tetradecimal (14) 3b624
pentadecimal (15) 2d6b0

As an angle

146,640° = 407 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρμϛχμʹ
Mayan (base 20)
𝋲·𝋦·𝋬·𝋠
Chinese
一十四萬六千六百四十
Chinese (financial)
壹拾肆萬陸仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٤٦٦٤٠ Devanagari १४६६४० Bengali ১৪৬৬৪০ Tamil ௧௪௬௬௪௦ Thai ๑๔๖๖๔๐ Tibetan ༡༤༦༦༤༠ Khmer ១៤៦៦៤០ Lao ໑໔໖໖໔໐ Burmese ၁၄၆၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146640, here are decompositions:

  • 23 + 146617 = 146640
  • 31 + 146609 = 146640
  • 37 + 146603 = 146640
  • 59 + 146581 = 146640
  • 97 + 146543 = 146640
  • 101 + 146539 = 146640
  • 113 + 146527 = 146640
  • 127 + 146513 = 146640

Showing the first eight; more decompositions exist.

Unicode codepoint
𣳐
CJK Unified Ideograph-23Cd0
U+23CD0
Other letter (Lo)

UTF-8 encoding: F0 A3 B3 90 (4 bytes).

Hex color
#023CD0
RGB(2, 60, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.208.

Address
0.2.60.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.208

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 146,640 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 146640 first appears in π at position 90,870 of the decimal expansion (the 90,870ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.