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135,320

135,320 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.).

135,320 (one hundred thirty-five thousand three hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 17 × 199. Its proper divisors sum to 188,680, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21098.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
23,531
Square (n²)
18,311,502,400
Cube (n³)
2,477,912,504,768,000
Divisor count
32
σ(n) — sum of divisors
324,000
φ(n) — Euler's totient
50,688
Sum of prime factors
227

Primality

Prime factorization: 2 3 × 5 × 17 × 199

Nearest primes: 135,319 (−1) · 135,329 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 34 · 40 · 68 · 85 · 136 · 170 · 199 · 340 · 398 · 680 · 796 · 995 · 1592 · 1990 · 3383 · 3980 · 6766 · 7960 · 13532 · 16915 · 27064 · 33830 · 67660 (half) · 135320
Aliquot sum (sum of proper divisors): 188,680
Factor pairs (a × b = 135,320)
1 × 135320
2 × 67660
4 × 33830
5 × 27064
8 × 16915
10 × 13532
17 × 7960
20 × 6766
34 × 3980
40 × 3383
68 × 1990
85 × 1592
136 × 995
170 × 796
199 × 680
340 × 398
First multiples
135,320 · 270,640 (double) · 405,960 · 541,280 · 676,600 · 811,920 · 947,240 · 1,082,560 · 1,217,880 · 1,353,200

Sums & aliquot sequence

As consecutive integers: 27,062 + 27,063 + 27,064 + 27,065 + 27,066 8,450 + 8,451 + … + 8,465 7,952 + 7,953 + … + 7,968 1,652 + 1,653 + … + 1,731
Aliquot sequence: 135,320 188,680 248,720 329,740 362,756 299,836 224,884 228,716 171,544 158,576 203,008 240,540 471,780 959,832 1,639,908 2,505,506 1,333,540 — unresolved within range

Continued fraction of √n

√135,320 = [367; (1, 6, 13, 4, 3, 1, 1, 1, 1, 5, 2, 7, 1, 4, 5, 4, 1, 7, 2, 5, 1, 1, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand three hundred twenty
Ordinal
135320th
Binary
100001000010011000
Octal
410230
Hexadecimal
0x21098
Base64
AhCY
One's complement
4,294,831,975 (32-bit)
Scientific notation
1.3532 × 10⁵
As a duration
135,320 s = 1 day, 13 hours, 35 minutes, 20 seconds
In other bases
ternary (3) 20212121212
quaternary (4) 201002120
quinary (5) 13312240
senary (6) 2522252
septenary (7) 1102343
nonary (9) 225555
undecimal (11) 92739
duodecimal (12) 66388
tridecimal (13) 49793
tetradecimal (14) 3745a
pentadecimal (15) 2a165
Palindromic in base 6

As an angle

135,320° = 375 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλετκʹ
Mayan (base 20)
𝋰·𝋲·𝋦·𝋠
Chinese
一十三萬五千三百二十
Chinese (financial)
壹拾參萬伍仟參佰貳拾
In other modern scripts
Eastern Arabic ١٣٥٣٢٠ Devanagari १३५३२० Bengali ১৩৫৩২০ Tamil ௧௩௫௩௨௦ Thai ๑๓๕๓๒๐ Tibetan ༡༣༥༣༢༠ Khmer ១៣៥៣២០ Lao ໑໓໕໓໒໐ Burmese ၁၃၅၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135320, here are decompositions:

  • 19 + 135301 = 135320
  • 37 + 135283 = 135320
  • 43 + 135277 = 135320
  • 79 + 135241 = 135320
  • 109 + 135211 = 135320
  • 127 + 135193 = 135320
  • 139 + 135181 = 135320
  • 271 + 135049 = 135320

Showing the first eight; more decompositions exist.

Unicode codepoint
𡂘
CJK Unified Ideograph-21098
U+21098
Other letter (Lo)

UTF-8 encoding: F0 A1 82 98 (4 bytes).

Hex color
#021098
RGB(2, 16, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.152.

Address
0.2.16.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.152

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 135,320 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 135320 first appears in π at position 653,792 of the decimal expansion (the 653,792ordinal-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

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