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136,272

136,272 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.).

136,272 (one hundred thirty-six thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 17 × 167. Its proper divisors sum to 238,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21450.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
504
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
272,631
Square (n²)
18,570,057,984
Cube (n³)
2,530,578,941,595,648
Divisor count
40
σ(n) — sum of divisors
374,976
φ(n) — Euler's totient
42,496
Sum of prime factors
195

Primality

Prime factorization: 2 4 × 3 × 17 × 167

Nearest primes: 136,261 (−11) · 136,273 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 34 · 48 · 51 · 68 · 102 · 136 · 167 · 204 · 272 · 334 · 408 · 501 · 668 · 816 · 1002 · 1336 · 2004 · 2672 · 2839 · 4008 · 5678 · 8016 · 8517 · 11356 · 17034 · 22712 · 34068 · 45424 · 68136 (half) · 136272
Aliquot sum (sum of proper divisors): 238,704
Factor pairs (a × b = 136,272)
1 × 136272
2 × 68136
3 × 45424
4 × 34068
6 × 22712
8 × 17034
12 × 11356
16 × 8517
17 × 8016
24 × 5678
34 × 4008
48 × 2839
51 × 2672
68 × 2004
102 × 1336
136 × 1002
167 × 816
204 × 668
272 × 501
334 × 408
First multiples
136,272 · 272,544 (double) · 408,816 · 545,088 · 681,360 · 817,632 · 953,904 · 1,090,176 · 1,226,448 · 1,362,720

Sums & aliquot sequence

As consecutive integers: 45,423 + 45,424 + 45,425 8,008 + 8,009 + … + 8,024 4,243 + 4,244 + … + 4,274 2,647 + 2,648 + … + 2,697
Aliquot sequence: 136,272 238,704 378,072 674,928 1,275,592 1,175,108 1,201,756 901,324 778,004 604,300 707,248 663,076 522,332 405,868 304,408 310,472 274,633 — unresolved within range

Continued fraction of √n

√136,272 = [369; (6, 1, 1, 1, 6, 738)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand two hundred seventy-two
Ordinal
136272nd
Binary
100001010001010000
Octal
412120
Hexadecimal
0x21450
Base64
AhRQ
One's complement
4,294,831,023 (32-bit)
Scientific notation
1.36272 × 10⁵
As a duration
136,272 s = 1 day, 13 hours, 51 minutes, 12 seconds
In other bases
ternary (3) 20220221010
quaternary (4) 201101100
quinary (5) 13330042
senary (6) 2530520
septenary (7) 1105203
nonary (9) 226833
undecimal (11) 93424
duodecimal (12) 66a40
tridecimal (13) 4a046
tetradecimal (14) 3793a
pentadecimal (15) 2a59c

As an angle

136,272° = 378 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛσοβʹ
Mayan (base 20)
𝋱·𝋠·𝋭·𝋬
Chinese
一十三萬六千二百七十二
Chinese (financial)
壹拾參萬陸仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٦٢٧٢ Devanagari १३६२७२ Bengali ১৩৬২৭২ Tamil ௧௩௬௨௭௨ Thai ๑๓๖๒๗๒ Tibetan ༡༣༦༢༧༢ Khmer ១៣៦២៧២ Lao ໑໓໖໒໗໒ Burmese ၁၃၆၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136272, here are decompositions:

  • 11 + 136261 = 136272
  • 79 + 136193 = 136272
  • 83 + 136189 = 136272
  • 109 + 136163 = 136272
  • 139 + 136133 = 136272
  • 173 + 136099 = 136272
  • 179 + 136093 = 136272
  • 229 + 136043 = 136272

Showing the first eight; more decompositions exist.

Unicode codepoint
𡑐
CJK Unified Ideograph-21450
U+21450
Other letter (Lo)

UTF-8 encoding: F0 A1 91 90 (4 bytes).

Hex color
#021450
RGB(2, 20, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.80.

Address
0.2.20.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.80

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 136,272 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°.