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136,200

136,200 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.).

136,200 (one hundred thirty-six thousand two hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3 × 5² × 227. Its proper divisors sum to 287,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21408.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
2,631
Square (n²)
18,550,440,000
Cube (n³)
2,526,569,928,000,000
Divisor count
48
σ(n) — sum of divisors
424,080
φ(n) — Euler's totient
36,160
Sum of prime factors
246

Primality

Prime factorization: 2 3 × 3 × 5 2 × 227

Nearest primes: 136,193 (−7) · 136,207 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 150 · 200 · 227 · 300 · 454 · 600 · 681 · 908 · 1135 · 1362 · 1816 · 2270 · 2724 · 3405 · 4540 · 5448 · 5675 · 6810 · 9080 · 11350 · 13620 · 17025 · 22700 · 27240 · 34050 · 45400 · 68100 (half) · 136200
Aliquot sum (sum of proper divisors): 287,880
Factor pairs (a × b = 136,200)
1 × 136200
2 × 68100
3 × 45400
4 × 34050
5 × 27240
6 × 22700
8 × 17025
10 × 13620
12 × 11350
15 × 9080
20 × 6810
24 × 5675
25 × 5448
30 × 4540
40 × 3405
50 × 2724
60 × 2270
75 × 1816
100 × 1362
120 × 1135
150 × 908
200 × 681
227 × 600
300 × 454
First multiples
136,200 · 272,400 (double) · 408,600 · 544,800 · 681,000 · 817,200 · 953,400 · 1,089,600 · 1,225,800 · 1,362,000

Sums & aliquot sequence

As consecutive integers: 45,399 + 45,400 + 45,401 27,238 + 27,239 + 27,240 + 27,241 + 27,242 9,073 + 9,074 + … + 9,087 8,505 + 8,506 + … + 8,520
Aliquot sequence: 136,200 287,880 576,120 1,152,600 2,664,120 5,382,240 11,573,328 22,549,488 40,186,080 115,489,440 334,554,336 616,835,376 1,122,103,176 1,707,237,624 2,612,284,296 3,961,685,304 7,440,170,616 — unresolved within range

Continued fraction of √n

√136,200 = [369; (18, 1, 12, 4, 3, 2, 4, 14, 1, 5, 6, 29, 2, 1, 3, 5, 6, 2, 5, 1, 2, 1, 5, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand two hundred
Ordinal
136200th
Binary
100001010000001000
Octal
412010
Hexadecimal
0x21408
Base64
AhQI
One's complement
4,294,831,095 (32-bit)
Scientific notation
1.362 × 10⁵
As a duration
136,200 s = 1 day, 13 hours, 50 minutes
In other bases
ternary (3) 20220211110
quaternary (4) 201100020
quinary (5) 13324300
senary (6) 2530320
septenary (7) 1105041
nonary (9) 226743
undecimal (11) 93369
duodecimal (12) 669a0
tridecimal (13) 49cbc
tetradecimal (14) 378c8
pentadecimal (15) 2a550

As an angle

136,200° = 378 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρλϛσʹ
Mayan (base 20)
𝋱·𝋠·𝋪·𝋠
Chinese
一十三萬六千二百
Chinese (financial)
壹拾參萬陸仟貳佰
In other modern scripts
Eastern Arabic ١٣٦٢٠٠ Devanagari १३६२०० Bengali ১৩৬২০০ Tamil ௧௩௬௨௦௦ Thai ๑๓๖๒๐๐ Tibetan ༡༣༦༢༠༠ Khmer ១៣៦២០០ Lao ໑໓໖໒໐໐ Burmese ၁၃၆၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136200, here are decompositions:

  • 7 + 136193 = 136200
  • 11 + 136189 = 136200
  • 23 + 136177 = 136200
  • 37 + 136163 = 136200
  • 61 + 136139 = 136200
  • 67 + 136133 = 136200
  • 89 + 136111 = 136200
  • 101 + 136099 = 136200

Showing the first eight; more decompositions exist.

Unicode codepoint
𡐈
CJK Unified Ideograph-21408
U+21408
Other letter (Lo)

UTF-8 encoding: F0 A1 90 88 (4 bytes).

Hex color
#021408
RGB(2, 20, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.8.

Address
0.2.20.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.8

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 136,200 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°.