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136,220

136,220 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.).

136,220 (one hundred thirty-six thousand two hundred twenty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 7² × 139. Its proper divisors sum to 198,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2141C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
22,631
Square (n²)
18,555,888,400
Cube (n³)
2,527,683,117,848,000
Divisor count
36
σ(n) — sum of divisors
335,160
φ(n) — Euler's totient
46,368
Sum of prime factors
162

Primality

Prime factorization: 2 2 × 5 × 7 2 × 139

Nearest primes: 136,217 (−3) · 136,223 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 49 · 70 · 98 · 139 · 140 · 196 · 245 · 278 · 490 · 556 · 695 · 973 · 980 · 1390 · 1946 · 2780 · 3892 · 4865 · 6811 · 9730 · 13622 · 19460 · 27244 · 34055 · 68110 (half) · 136220
Aliquot sum (sum of proper divisors): 198,940
Factor pairs (a × b = 136,220)
1 × 136220
2 × 68110
4 × 34055
5 × 27244
7 × 19460
10 × 13622
14 × 9730
20 × 6811
28 × 4865
35 × 3892
49 × 2780
70 × 1946
98 × 1390
139 × 980
140 × 973
196 × 695
245 × 556
278 × 490
First multiples
136,220 · 272,440 (double) · 408,660 · 544,880 · 681,100 · 817,320 · 953,540 · 1,089,760 · 1,225,980 · 1,362,200

Sums & aliquot sequence

As consecutive integers: 27,242 + 27,243 + 27,244 + 27,245 + 27,246 19,457 + 19,458 + … + 19,463 17,024 + 17,025 + … + 17,031 3,875 + 3,876 + … + 3,909
Aliquot sequence: 136,220 198,940 305,060 427,420 637,028 637,084 661,444 661,500 1,828,260 4,514,076 9,115,764 16,356,396 28,041,132 48,975,444 93,887,276 99,164,884 121,452,716 — unresolved within range

Continued fraction of √n

√136,220 = [369; (12, 1, 1, 24, 1, 14, 9, 1, 1, 1, 4, 1, 1, 1, 9, 14, 1, 24, 1, 1, 12, 738)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand two hundred twenty
Ordinal
136220th
Binary
100001010000011100
Octal
412034
Hexadecimal
0x2141C
Base64
AhQc
One's complement
4,294,831,075 (32-bit)
Scientific notation
1.3622 × 10⁵
As a duration
136,220 s = 1 day, 13 hours, 50 minutes, 20 seconds
In other bases
ternary (3) 20220212012
quaternary (4) 201100130
quinary (5) 13324340
senary (6) 2530352
septenary (7) 1105100
nonary (9) 226765
undecimal (11) 93387
duodecimal (12) 669b8
tridecimal (13) 4a006
tetradecimal (14) 37900
pentadecimal (15) 2a565
Palindromic in base 6

As an angle

136,220° = 378 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλϛσκʹ
Mayan (base 20)
𝋱·𝋠·𝋫·𝋠
Chinese
一十三萬六千二百二十
Chinese (financial)
壹拾參萬陸仟貳佰貳拾
In other modern scripts
Eastern Arabic ١٣٦٢٢٠ Devanagari १३६२२० Bengali ১৩৬২২০ Tamil ௧௩௬௨௨௦ Thai ๑๓๖๒๒๐ Tibetan ༡༣༦༢༢༠ Khmer ១៣៦២២០ Lao ໑໓໖໒໒໐ Burmese ၁၃၆၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136220, here are decompositions:

  • 3 + 136217 = 136220
  • 13 + 136207 = 136220
  • 31 + 136189 = 136220
  • 43 + 136177 = 136220
  • 109 + 136111 = 136220
  • 127 + 136093 = 136220
  • 151 + 136069 = 136220
  • 163 + 136057 = 136220

Showing the first eight; more decompositions exist.

Unicode codepoint
𡐜
CJK Unified Ideograph-2141C
U+2141C
Other letter (Lo)

UTF-8 encoding: F0 A1 90 9C (4 bytes).

Hex color
#02141C
RGB(2, 20, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.28.

Address
0.2.20.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.28

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 136,220 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.