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136,320

136,320 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.).

136,320 (one hundred thirty-six thousand three hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2⁷ × 3 × 5 × 71. Its proper divisors sum to 304,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21480.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
23,631
Square (n²)
18,583,142,400
Cube (n³)
2,533,253,971,968,000
Divisor count
64
σ(n) — sum of divisors
440,640
φ(n) — Euler's totient
35,840
Sum of prime factors
93

Primality

Prime factorization: 2 7 × 3 × 5 × 71

Nearest primes: 136,319 (−1) · 136,327 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 71 · 80 · 96 · 120 · 128 · 142 · 160 · 192 · 213 · 240 · 284 · 320 · 355 · 384 · 426 · 480 · 568 · 640 · 710 · 852 · 960 · 1065 · 1136 · 1420 · 1704 · 1920 · 2130 · 2272 · 2840 · 3408 · 4260 · 4544 · 5680 · 6816 · 8520 · 9088 · 11360 · 13632 · 17040 · 22720 · 27264 · 34080 · 45440 · 68160 (half) · 136320
Aliquot sum (sum of proper divisors): 304,320
Factor pairs (a × b = 136,320)
1 × 136320
2 × 68160
3 × 45440
4 × 34080
5 × 27264
6 × 22720
8 × 17040
10 × 13632
12 × 11360
15 × 9088
16 × 8520
20 × 6816
24 × 5680
30 × 4544
32 × 4260
40 × 3408
48 × 2840
60 × 2272
64 × 2130
71 × 1920
80 × 1704
96 × 1420
120 × 1136
128 × 1065
142 × 960
160 × 852
192 × 710
213 × 640
240 × 568
284 × 480
320 × 426
355 × 384
First multiples
136,320 · 272,640 (double) · 408,960 · 545,280 · 681,600 · 817,920 · 954,240 · 1,090,560 · 1,226,880 · 1,363,200

Sums & aliquot sequence

As consecutive integers: 45,439 + 45,440 + 45,441 27,262 + 27,263 + 27,264 + 27,265 + 27,266 9,081 + 9,082 + … + 9,095 1,885 + 1,886 + … + 1,955
Aliquot sequence: 136,320 304,320 664,944 1,299,216 2,057,216 2,843,302 2,628,698 1,321,510 1,057,226 567,418 308,660 441,292 330,976 320,696 280,624 263,116 263,172 — unresolved within range

Continued fraction of √n

√136,320 = [369; (4, 1, 1, 1, 4, 738)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand three hundred twenty
Ordinal
136320th
Binary
100001010010000000
Octal
412200
Hexadecimal
0x21480
Base64
AhSA
One's complement
4,294,830,975 (32-bit)
Scientific notation
1.3632 × 10⁵
As a duration
136,320 s = 1 day, 13 hours, 52 minutes
In other bases
ternary (3) 20220222220
quaternary (4) 201102000
quinary (5) 13330240
senary (6) 2531040
septenary (7) 1105302
nonary (9) 226886
undecimal (11) 93468
duodecimal (12) 66a80
tridecimal (13) 4a082
tetradecimal (14) 37972
pentadecimal (15) 2a5d0

As an angle

136,320° = 378 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλϛτκʹ
Mayan (base 20)
𝋱·𝋠·𝋰·𝋠
Chinese
一十三萬六千三百二十
Chinese (financial)
壹拾參萬陸仟參佰貳拾
In other modern scripts
Eastern Arabic ١٣٦٣٢٠ Devanagari १३६३२० Bengali ১৩৬৩২০ Tamil ௧௩௬௩௨௦ Thai ๑๓๖๓๒๐ Tibetan ༡༣༦༣༢༠ Khmer ១៣៦៣២០ Lao ໑໓໖໓໒໐ Burmese ၁၃၆၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136320, here are decompositions:

  • 11 + 136309 = 136320
  • 17 + 136303 = 136320
  • 43 + 136277 = 136320
  • 47 + 136273 = 136320
  • 59 + 136261 = 136320
  • 73 + 136247 = 136320
  • 83 + 136237 = 136320
  • 97 + 136223 = 136320

Showing the first eight; more decompositions exist.

Unicode codepoint
𡒀
CJK Unified Ideograph-21480
U+21480
Other letter (Lo)

UTF-8 encoding: F0 A1 92 80 (4 bytes).

Hex color
#021480
RGB(2, 20, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.128.

Address
0.2.20.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.128

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 136,320 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°.