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135,342

135,342 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.).

135,342 (one hundred thirty-five thousand three hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 73 × 103. Its proper divisors sum to 164,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210AE.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
360
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
243,531
Square (n²)
18,317,456,964
Cube (n³)
2,479,121,260,421,688
Divisor count
24
σ(n) — sum of divisors
300,144
φ(n) — Euler's totient
44,064
Sum of prime factors
184

Primality

Prime factorization: 2 × 3 2 × 73 × 103

Nearest primes: 135,329 (−13) · 135,347 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 73 · 103 · 146 · 206 · 219 · 309 · 438 · 618 · 657 · 927 · 1314 · 1854 · 7519 · 15038 · 22557 · 45114 · 67671 (half) · 135342
Aliquot sum (sum of proper divisors): 164,802
Factor pairs (a × b = 135,342)
1 × 135342
2 × 67671
3 × 45114
6 × 22557
9 × 15038
18 × 7519
73 × 1854
103 × 1314
146 × 927
206 × 657
219 × 618
309 × 438
First multiples
135,342 · 270,684 (double) · 406,026 · 541,368 · 676,710 · 812,052 · 947,394 · 1,082,736 · 1,218,078 · 1,353,420

Sums & aliquot sequence

As consecutive integers: 45,113 + 45,114 + 45,115 33,834 + 33,835 + 33,836 + 33,837 15,034 + 15,035 + … + 15,042 11,273 + 11,274 + … + 11,284
Aliquot sequence: 135,342 164,802 199,086 199,098 247,392 456,948 728,012 580,708 435,538 229,022 116,554 60,314 32,026 16,934 8,470 10,682 8,128 — unresolved within range

Continued fraction of √n

√135,342 = [367; (1, 7, 1, 37, 1, 5, 9, 2, 1, 1, 2, 1, 3, 1, 1, 7, 1, 1, 9, 40, 1, 3, 2, 1, …)]

Representations

In words
one hundred thirty-five thousand three hundred forty-two
Ordinal
135342nd
Binary
100001000010101110
Octal
410256
Hexadecimal
0x210AE
Base64
AhCu
One's complement
4,294,831,953 (32-bit)
Scientific notation
1.35342 × 10⁵
As a duration
135,342 s = 1 day, 13 hours, 35 minutes, 42 seconds
In other bases
ternary (3) 20212122200
quaternary (4) 201002232
quinary (5) 13312332
senary (6) 2522330
septenary (7) 1102404
nonary (9) 225580
undecimal (11) 92759
duodecimal (12) 663a6
tridecimal (13) 497ac
tetradecimal (14) 37474
pentadecimal (15) 2a17c

As an angle

135,342° = 375 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλετμβʹ
Mayan (base 20)
𝋰·𝋲·𝋧·𝋢
Chinese
一十三萬五千三百四十二
Chinese (financial)
壹拾參萬伍仟參佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٥٣٤٢ Devanagari १३५३४२ Bengali ১৩৫৩৪২ Tamil ௧௩௫௩௪௨ Thai ๑๓๕๓๔๒ Tibetan ༡༣༥༣༤༢ Khmer ១៣៥៣៤២ Lao ໑໓໕໓໔໒ Burmese ၁၃၅၃၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135342, here are decompositions:

  • 13 + 135329 = 135342
  • 23 + 135319 = 135342
  • 41 + 135301 = 135342
  • 59 + 135283 = 135342
  • 61 + 135281 = 135342
  • 71 + 135271 = 135342
  • 101 + 135241 = 135342
  • 131 + 135211 = 135342

Showing the first eight; more decompositions exist.

Unicode codepoint
𡂮
CJK Unified Ideograph-210Ae
U+210AE
Other letter (Lo)

UTF-8 encoding: F0 A1 82 AE (4 bytes).

Hex color
#0210AE
RGB(2, 16, 174)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.174.

Address
0.2.16.174
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.174

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 135,342 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 135342 first appears in π at position 776,184 of the decimal expansion (the 776,184ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.