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135,712

135,712 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.).

135,712 (one hundred thirty-five thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,241. Written other ways, in hexadecimal, 0x21220.

Deficient Number Evil Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
217,531
Square (n²)
18,417,746,944
Cube (n³)
2,499,509,273,264,128
Divisor count
12
σ(n) — sum of divisors
267,246
φ(n) — Euler's totient
67,840
Sum of prime factors
4,251

Primality

Prime factorization: 2 5 × 4241

Nearest primes: 135,701 (−11) · 135,719 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4241 · 8482 · 16964 · 33928 · 67856 (half) · 135712
Aliquot sum (sum of proper divisors): 131,534
Factor pairs (a × b = 135,712)
1 × 135712
2 × 67856
4 × 33928
8 × 16964
16 × 8482
32 × 4241
First multiples
135,712 · 271,424 (double) · 407,136 · 542,848 · 678,560 · 814,272 · 949,984 · 1,085,696 · 1,221,408 · 1,357,120

Sums & aliquot sequence

As a sum of two squares: 244² + 276²
As consecutive integers: 2,089 + 2,090 + … + 2,152
Aliquot sequence: 135,712 131,534 80,986 40,496 37,996 42,644 42,700 64,932 108,444 180,964 198,044 234,724 245,084 245,140 383,852 383,908 383,964 — unresolved within range

Continued fraction of √n

√135,712 = [368; (2, 1, 1, 3, 1, 8, 3, 5, 3, 1, 5, 5, 1, 1, 6, 10, 1, 2, 6, 1, 4, 3, 1, 22, …)]

Representations

In words
one hundred thirty-five thousand seven hundred twelve
Ordinal
135712th
Binary
100001001000100000
Octal
411040
Hexadecimal
0x21220
Base64
AhIg
One's complement
4,294,831,583 (32-bit)
Scientific notation
1.35712 × 10⁵
As a duration
135,712 s = 1 day, 13 hours, 41 minutes, 52 seconds
In other bases
ternary (3) 20220011101
quaternary (4) 201020200
quinary (5) 13320322
senary (6) 2524144
septenary (7) 1103443
nonary (9) 226141
undecimal (11) 92a65
duodecimal (12) 66654
tridecimal (13) 49a05
tetradecimal (14) 3765a
pentadecimal (15) 2a327

As an angle

135,712° = 376 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψιβʹ
Mayan (base 20)
𝋰·𝋳·𝋥·𝋬
Chinese
一十三萬五千七百一十二
Chinese (financial)
壹拾參萬伍仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٥٧١٢ Devanagari १३५७१२ Bengali ১৩৫৭১২ Tamil ௧௩௫௭௧௨ Thai ๑๓๕๗๑๒ Tibetan ༡༣༥༧༡༢ Khmer ១៣៥៧១២ Lao ໑໓໕໗໑໒ Burmese ၁၃၅၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135712, here are decompositions:

  • 11 + 135701 = 135712
  • 41 + 135671 = 135712
  • 89 + 135623 = 135712
  • 113 + 135599 = 135712
  • 131 + 135581 = 135712
  • 179 + 135533 = 135712
  • 233 + 135479 = 135712
  • 251 + 135461 = 135712

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈠
CJK Unified Ideograph-21220
U+21220
Other letter (Lo)

UTF-8 encoding: F0 A1 88 A0 (4 bytes).

Hex color
#021220
RGB(2, 18, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.32.

Address
0.2.18.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.32

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 135,712 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