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135,746

135,746 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.).

135,746 (one hundred thirty-five thousand seven hundred forty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 23 × 227. Written other ways, in hexadecimal, 0x21242.

Arithmetic Number Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,520
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
647,531
Square (n²)
18,426,976,516
Cube (n³)
2,501,388,354,140,936
Divisor count
16
σ(n) — sum of divisors
229,824
φ(n) — Euler's totient
59,664
Sum of prime factors
265

Primality

Prime factorization: 2 × 13 × 23 × 227

Nearest primes: 135,743 (−3) · 135,757 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 23 · 26 · 46 · 227 · 299 · 454 · 598 · 2951 · 5221 · 5902 · 10442 · 67873 (half) · 135746
Aliquot sum (sum of proper divisors): 94,078
Factor pairs (a × b = 135,746)
1 × 135746
2 × 67873
13 × 10442
23 × 5902
26 × 5221
46 × 2951
227 × 598
299 × 454
First multiples
135,746 · 271,492 (double) · 407,238 · 542,984 · 678,730 · 814,476 · 950,222 · 1,085,968 · 1,221,714 · 1,357,460

Sums & aliquot sequence

As consecutive integers: 33,935 + 33,936 + 33,937 + 33,938 10,436 + 10,437 + … + 10,448 5,891 + 5,892 + … + 5,913 2,585 + 2,586 + … + 2,636
Aliquot sequence: 135,746 94,078 55,394 27,700 32,626 20,798 10,402 7,454 3,730 3,002 1,798 1,082 544 590 490 536 484 — unresolved within range

Continued fraction of √n

√135,746 = [368; (2, 3, 2, 14, 1, 1, 1, 1, 52, 32, 52, 1, 1, 1, 1, 14, 2, 3, 2, 736)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand seven hundred forty-six
Ordinal
135746th
Binary
100001001001000010
Octal
411102
Hexadecimal
0x21242
Base64
AhJC
One's complement
4,294,831,549 (32-bit)
Scientific notation
1.35746 × 10⁵
As a duration
135,746 s = 1 day, 13 hours, 42 minutes, 26 seconds
In other bases
ternary (3) 20220012122
quaternary (4) 201021002
quinary (5) 13320441
senary (6) 2524242
septenary (7) 1103522
nonary (9) 226178
undecimal (11) 92a96
duodecimal (12) 66682
tridecimal (13) 49a30
tetradecimal (14) 37682
pentadecimal (15) 2a34b

As an angle

135,746° = 377 × 360° + 26°
26° ≈ 0.454 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεψμϛʹ
Mayan (base 20)
𝋰·𝋳·𝋧·𝋦
Chinese
一十三萬五千七百四十六
Chinese (financial)
壹拾參萬伍仟柒佰肆拾陸
In other modern scripts
Eastern Arabic ١٣٥٧٤٦ Devanagari १३५७४६ Bengali ১৩৫৭৪৬ Tamil ௧௩௫௭௪௬ Thai ๑๓๕๗๔๖ Tibetan ༡༣༥༧༤༦ Khmer ១៣៥៧៤៦ Lao ໑໓໕໗໔໖ Burmese ၁၃၅၇၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135746, here are decompositions:

  • 3 + 135743 = 135746
  • 19 + 135727 = 135746
  • 97 + 135649 = 135746
  • 109 + 135637 = 135746
  • 139 + 135607 = 135746
  • 157 + 135589 = 135746
  • 277 + 135469 = 135746
  • 283 + 135463 = 135746

Showing the first eight; more decompositions exist.

Unicode codepoint
𡉂
CJK Unified Ideograph-21242
U+21242
Other letter (Lo)

UTF-8 encoding: F0 A1 89 82 (4 bytes).

Hex color
#021242
RGB(2, 18, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.66.

Address
0.2.18.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.66

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 135,746 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.