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130,032

130,032 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.).

130,032 (one hundred thirty thousand thirty-two) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 7 × 43. Its proper divisors sum to 306,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FBF0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
230,031
Recamán's sequence
a(33,820) = 130,032
Square (n²)
16,908,321,024
Cube (n³)
2,198,622,799,392,768
Divisor count
80
σ(n) — sum of divisors
436,480
φ(n) — Euler's totient
36,288
Sum of prime factors
67

Primality

Prime factorization: 2 4 × 3 3 × 7 × 43

Nearest primes: 130,027 (−5) · 130,043 (+11)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 43 · 48 · 54 · 56 · 63 · 72 · 84 · 86 · 108 · 112 · 126 · 129 · 144 · 168 · 172 · 189 · 216 · 252 · 258 · 301 · 336 · 344 · 378 · 387 · 432 · 504 · 516 · 602 · 688 · 756 · 774 · 903 · 1008 · 1032 · 1161 · 1204 · 1512 · 1548 · 1806 · 2064 · 2322 · 2408 · 2709 · 3024 · 3096 · 3612 · 4644 · 4816 · 5418 · 6192 · 7224 · 8127 · 9288 · 10836 · 14448 · 16254 · 18576 · 21672 · 32508 · 43344 · 65016 (half) · 130032
Aliquot sum (sum of proper divisors): 306,448
Factor pairs (a × b = 130,032)
1 × 130032
2 × 65016
3 × 43344
4 × 32508
6 × 21672
7 × 18576
8 × 16254
9 × 14448
12 × 10836
14 × 9288
16 × 8127
18 × 7224
21 × 6192
24 × 5418
27 × 4816
28 × 4644
36 × 3612
42 × 3096
43 × 3024
48 × 2709
54 × 2408
56 × 2322
63 × 2064
72 × 1806
84 × 1548
86 × 1512
108 × 1204
112 × 1161
126 × 1032
129 × 1008
144 × 903
168 × 774
172 × 756
189 × 688
216 × 602
252 × 516
258 × 504
301 × 432
336 × 387
344 × 378
First multiples
130,032 · 260,064 (double) · 390,096 · 520,128 · 650,160 · 780,192 · 910,224 · 1,040,256 · 1,170,288 · 1,300,320

Sums & aliquot sequence

As consecutive integers: 43,343 + 43,344 + 43,345 18,573 + 18,574 + … + 18,579 14,444 + 14,445 + … + 14,452 6,182 + 6,183 + … + 6,202
Aliquot sequence: 130,032 306,448 296,192 347,668 287,372 215,536 224,664 431,976 676,824 1,015,296 1,693,608 3,438,552 5,996,328 10,148,472 17,814,528 33,651,146 17,442,358 — unresolved within range

Continued fraction of √n

√130,032 = [360; (1, 1, 2, 79, 1, 2, 1, 2, 1, 79, 2, 1, 1, 720)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand thirty-two
Ordinal
130032nd
Binary
11111101111110000
Octal
375760
Hexadecimal
0x1FBF0
Base64
Afvw
One's complement
4,294,837,263 (32-bit)
Scientific notation
1.30032 × 10⁵
As a duration
130,032 s = 1 day, 12 hours, 7 minutes, 12 seconds
In other bases
ternary (3) 20121101000
quaternary (4) 133233300
quinary (5) 13130112
senary (6) 2442000
septenary (7) 1051050
nonary (9) 217330
undecimal (11) 89771
duodecimal (12) 63300
tridecimal (13) 47256
tetradecimal (14) 35560
pentadecimal (15) 287dc

As an angle

130,032° = 361 × 360° + 72°
72° ≈ 1.257 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλλβʹ
Mayan (base 20)
𝋰·𝋥·𝋡·𝋬
Chinese
一十三萬零三十二
Chinese (financial)
壹拾參萬零參拾貳
In other modern scripts
Eastern Arabic ١٣٠٠٣٢ Devanagari १३००३२ Bengali ১৩০০৩২ Tamil ௧௩௦௦௩௨ Thai ๑๓๐๐๓๒ Tibetan ༡༣༠༠༣༢ Khmer ១៣០០៣២ Lao ໑໓໐໐໓໒ Burmese ၁၃၀၀၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130032, here are decompositions:

  • 5 + 130027 = 130032
  • 11 + 130021 = 130032
  • 29 + 130003 = 130032
  • 61 + 129971 = 130032
  • 73 + 129959 = 130032
  • 79 + 129953 = 130032
  • 113 + 129919 = 130032
  • 131 + 129901 = 130032

Showing the first eight; more decompositions exist.

Unicode codepoint
🯰
Segmented Digit Zero
U+1FBF0
Decimal digit (Nd)

UTF-8 encoding: F0 9F AF B0 (4 bytes).

Hex color
#01FBF0
RGB(1, 251, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.251.240.

Address
0.1.251.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.251.240

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 130,032 and was likely granted around 1872.

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°.