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135,309

135,309 is a composite number, odd.

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.).

135,309 (one hundred thirty-five thousand three hundred nine) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 23 × 37 × 53. Written other ways, in hexadecimal, 0x2108D.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
903,531
Square (n²)
18,308,525,481
Cube (n³)
2,477,308,274,308,629
Divisor count
16
σ(n) — sum of divisors
196,992
φ(n) — Euler's totient
82,368
Sum of prime factors
116

Primality

Prime factorization: 3 × 23 × 37 × 53

Nearest primes: 135,301 (−8) · 135,319 (+10)

Divisors & multiples

All divisors (16)
1 · 3 · 23 · 37 · 53 · 69 · 111 · 159 · 851 · 1219 · 1961 · 2553 · 3657 · 5883 · 45103 · 135309
Aliquot sum (sum of proper divisors): 61,683
Factor pairs (a × b = 135,309)
1 × 135309
3 × 45103
23 × 5883
37 × 3657
53 × 2553
69 × 1961
111 × 1219
159 × 851
First multiples
135,309 · 270,618 (double) · 405,927 · 541,236 · 676,545 · 811,854 · 947,163 · 1,082,472 · 1,217,781 · 1,353,090

Sums & aliquot sequence

As consecutive integers: 67,654 + 67,655 45,102 + 45,103 + 45,104 22,549 + 22,550 + 22,551 + 22,552 + 22,553 + 22,554 5,872 + 5,873 + … + 5,894
Aliquot sequence: 135,309 61,683 23,517 14,563 1 0 — terminates at zero

Continued fraction of √n

√135,309 = [367; (1, 5, 2, 1, 1, 28, 1, 5, 66, 1, 2, 2, 16, 3, 2, 2, 1, 6, 1, 1, 1, 5, 2, 2, …)]

Representations

In words
one hundred thirty-five thousand three hundred nine
Ordinal
135309th
Binary
100001000010001101
Octal
410215
Hexadecimal
0x2108D
Base64
AhCN
One's complement
4,294,831,986 (32-bit)
Scientific notation
1.35309 × 10⁵
As a duration
135,309 s = 1 day, 13 hours, 35 minutes, 9 seconds
In other bases
ternary (3) 20212121110
quaternary (4) 201002031
quinary (5) 13312214
senary (6) 2522233
septenary (7) 1102326
nonary (9) 225543
undecimal (11) 92729
duodecimal (12) 66379
tridecimal (13) 49785
tetradecimal (14) 3744d
pentadecimal (15) 2a159
Palindromic in base 11

As an angle

135,309° = 375 × 360° + 309°
309° ≈ 5.393 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλετθʹ
Mayan (base 20)
𝋰·𝋲·𝋥·𝋩
Chinese
一十三萬五千三百零九
Chinese (financial)
壹拾參萬伍仟參佰零玖
In other modern scripts
Eastern Arabic ١٣٥٣٠٩ Devanagari १३५३०९ Bengali ১৩৫৩০৯ Tamil ௧௩௫௩௦௯ Thai ๑๓๕๓๐๙ Tibetan ༡༣༥༣༠༩ Khmer ១៣៥៣០៩ Lao ໑໓໕໓໐໙ Burmese ၁၃၅၃၀၉

Also seen as

Unicode codepoint
𡂍
CJK Unified Ideograph-2108D
U+2108D
Other letter (Lo)

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

Hex color
#02108D
RGB(2, 16, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.141.

Address
0.2.16.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.141

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 135,309 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 135309 first appears in π at position 506,922 of the decimal expansion (the 506,922ordinal-suffix:nd 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°.