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135,742

135,742 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.).

135,742 (one hundred thirty-five thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 67 × 1,013. Written other ways, in hexadecimal, 0x2123E.

Arithmetic Number Cube-Free Deficient Number Evil Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
840
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
247,531
Square (n²)
18,425,890,564
Cube (n³)
2,501,167,236,938,488
Divisor count
8
σ(n) — sum of divisors
206,856
φ(n) — Euler's totient
66,792
Sum of prime factors
1,082

Primality

Prime factorization: 2 × 67 × 1013

Nearest primes: 135,731 (−11) · 135,743 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 67 · 134 · 1013 · 2026 · 67871 (half) · 135742
Aliquot sum (sum of proper divisors): 71,114
Factor pairs (a × b = 135,742)
1 × 135742
2 × 67871
67 × 2026
134 × 1013
First multiples
135,742 · 271,484 (double) · 407,226 · 542,968 · 678,710 · 814,452 · 950,194 · 1,085,936 · 1,221,678 · 1,357,420

Sums & aliquot sequence

As consecutive integers: 33,934 + 33,935 + 33,936 + 33,937 1,993 + 1,994 + … + 2,059 373 + 374 + … + 640
Aliquot sequence: 135,742 71,114 42,088 36,842 23,548 25,228 29,204 30,646 26,954 13,480 16,940 27,748 27,804 46,564 46,620 119,364 216,636 — unresolved within range

Continued fraction of √n

√135,742 = [368; (2, 3, 6, 81, 1, 2, 1, 1, 56, 9, 12, 1, 1, 2, 5, 1, 9, 8, 1, 3, 2, 7, 1, 5, …)]

Representations

In words
one hundred thirty-five thousand seven hundred forty-two
Ordinal
135742nd
Binary
100001001000111110
Octal
411076
Hexadecimal
0x2123E
Base64
AhI+
One's complement
4,294,831,553 (32-bit)
Scientific notation
1.35742 × 10⁵
As a duration
135,742 s = 1 day, 13 hours, 42 minutes, 22 seconds
In other bases
ternary (3) 20220012111
quaternary (4) 201020332
quinary (5) 13320432
senary (6) 2524234
septenary (7) 1103515
nonary (9) 226174
undecimal (11) 92a92
duodecimal (12) 6667a
tridecimal (13) 49a29
tetradecimal (14) 3767c
pentadecimal (15) 2a347

As an angle

135,742° = 377 × 360° + 22°
22° ≈ 0.384 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλεψμβʹ
Mayan (base 20)
𝋰·𝋳·𝋧·𝋢
Chinese
一十三萬五千七百四十二
Chinese (financial)
壹拾參萬伍仟柒佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٥٧٤٢ Devanagari १३५७४२ Bengali ১৩৫৭৪২ Tamil ௧௩௫௭௪௨ Thai ๑๓๕๗๔๒ Tibetan ༡༣༥༧༤༢ Khmer ១៣៥៧៤២ Lao ໑໓໕໗໔໒ Burmese ၁၃၅၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135742, here are decompositions:

  • 11 + 135731 = 135742
  • 23 + 135719 = 135742
  • 41 + 135701 = 135742
  • 71 + 135671 = 135742
  • 149 + 135593 = 135742
  • 263 + 135479 = 135742
  • 281 + 135461 = 135742
  • 293 + 135449 = 135742

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈾
CJK Unified Ideograph-2123E
U+2123E
Other letter (Lo)

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

Hex color
#02123E
RGB(2, 18, 62)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.62.

Address
0.2.18.62
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.62

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 135,742 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