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136,072

136,072 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.).

136,072 (one hundred thirty-six thousand seventy-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 73 × 233. Written other ways, in hexadecimal, 0x21388.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
270,631
Square (n²)
18,515,589,184
Cube (n³)
2,519,453,251,445,248
Divisor count
16
σ(n) — sum of divisors
259,740
φ(n) — Euler's totient
66,816
Sum of prime factors
312

Primality

Prime factorization: 2 3 × 73 × 233

Nearest primes: 136,069 (−3) · 136,093 (+21)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 73 · 146 · 233 · 292 · 466 · 584 · 932 · 1864 · 17009 · 34018 · 68036 (half) · 136072
Aliquot sum (sum of proper divisors): 123,668
Factor pairs (a × b = 136,072)
1 × 136072
2 × 68036
4 × 34018
8 × 17009
73 × 1864
146 × 932
233 × 584
292 × 466
First multiples
136,072 · 272,144 (double) · 408,216 · 544,288 · 680,360 · 816,432 · 952,504 · 1,088,576 · 1,224,648 · 1,360,720

Sums & aliquot sequence

As a sum of two squares: 46² + 366² = 206² + 306²
As consecutive integers: 8,497 + 8,498 + … + 8,512 1,828 + 1,829 + … + 1,900 468 + 469 + … + 700
Aliquot sequence: 136,072 123,668 98,092 75,788 56,848 77,072 72,286 38,594 21,886 12,098 6,910 5,546 3,094 2,954 2,134 1,394 874 — unresolved within range

Continued fraction of √n

√136,072 = [368; (1, 7, 3, 2, 3, 1, 1, 1, 1, 91, 1, 1, 1, 1, 3, 2, 3, 7, 1, 736)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand seventy-two
Ordinal
136072nd
Binary
100001001110001000
Octal
411610
Hexadecimal
0x21388
Base64
AhOI
One's complement
4,294,831,223 (32-bit)
Scientific notation
1.36072 × 10⁵
As a duration
136,072 s = 1 day, 13 hours, 47 minutes, 52 seconds
In other bases
ternary (3) 20220122201
quaternary (4) 201032020
quinary (5) 13323242
senary (6) 2525544
septenary (7) 1104466
nonary (9) 226581
undecimal (11) 93262
duodecimal (12) 668b4
tridecimal (13) 49c21
tetradecimal (14) 37836
pentadecimal (15) 2a4b7

As an angle

136,072° = 377 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλϛοβʹ
Mayan (base 20)
𝋱·𝋠·𝋣·𝋬
Chinese
一十三萬六千零七十二
Chinese (financial)
壹拾參萬陸仟零柒拾貳
In other modern scripts
Eastern Arabic ١٣٦٠٧٢ Devanagari १३६०७२ Bengali ১৩৬০৭২ Tamil ௧௩௬௦௭௨ Thai ๑๓๖๐๗๒ Tibetan ༡༣༦༠༧༢ Khmer ១៣៦០៧២ Lao ໑໓໖໐໗໒ Burmese ၁၃၆၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136072, here are decompositions:

  • 3 + 136069 = 136072
  • 5 + 136067 = 136072
  • 29 + 136043 = 136072
  • 59 + 136013 = 136072
  • 173 + 135899 = 136072
  • 179 + 135893 = 136072
  • 353 + 135719 = 136072
  • 401 + 135671 = 136072

Showing the first eight; more decompositions exist.

Unicode codepoint
𡎈
CJK Unified Ideograph-21388
U+21388
Other letter (Lo)

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

Hex color
#021388
RGB(2, 19, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.136.

Address
0.2.19.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.136

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 136,072 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 136072 first appears in π at position 331,740 of the decimal expansion (the 331,740ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading