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135,520

135,520 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.).

135,520 (one hundred thirty-five thousand five hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 5 × 7 × 11². Its proper divisors sum to 266,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21160.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
25,531
Square (n²)
18,365,670,400
Cube (n³)
2,488,915,652,608,000
Divisor count
72
σ(n) — sum of divisors
402,192
φ(n) — Euler's totient
42,240
Sum of prime factors
44

Primality

Prime factorization: 2 5 × 5 × 7 × 11 2

Nearest primes: 135,511 (−9) · 135,533 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 11 · 14 · 16 · 20 · 22 · 28 · 32 · 35 · 40 · 44 · 55 · 56 · 70 · 77 · 80 · 88 · 110 · 112 · 121 · 140 · 154 · 160 · 176 · 220 · 224 · 242 · 280 · 308 · 352 · 385 · 440 · 484 · 560 · 605 · 616 · 770 · 847 · 880 · 968 · 1120 · 1210 · 1232 · 1540 · 1694 · 1760 · 1936 · 2420 · 2464 · 3080 · 3388 · 3872 · 4235 · 4840 · 6160 · 6776 · 8470 · 9680 · 12320 · 13552 · 16940 · 19360 · 27104 · 33880 · 67760 (half) · 135520
Aliquot sum (sum of proper divisors): 266,672
Factor pairs (a × b = 135,520)
1 × 135520
2 × 67760
4 × 33880
5 × 27104
7 × 19360
8 × 16940
10 × 13552
11 × 12320
14 × 9680
16 × 8470
20 × 6776
22 × 6160
28 × 4840
32 × 4235
35 × 3872
40 × 3388
44 × 3080
55 × 2464
56 × 2420
70 × 1936
77 × 1760
80 × 1694
88 × 1540
110 × 1232
112 × 1210
121 × 1120
140 × 968
154 × 880
160 × 847
176 × 770
220 × 616
224 × 605
242 × 560
280 × 484
308 × 440
352 × 385
First multiples
135,520 · 271,040 (double) · 406,560 · 542,080 · 677,600 · 813,120 · 948,640 · 1,084,160 · 1,219,680 · 1,355,200

Sums & aliquot sequence

As consecutive integers: 27,102 + 27,103 + 27,104 + 27,105 + 27,106 19,357 + 19,358 + … + 19,363 12,315 + 12,316 + … + 12,325 3,855 + 3,856 + … + 3,889
Aliquot sequence: 135,520 266,672 324,064 416,816 401,584 418,056 627,144 1,165,176 1,990,704 3,237,136 4,060,574 2,900,434 1,479,866 884,038 442,022 315,754 157,880 — unresolved within range

Continued fraction of √n

√135,520 = [368; (7, 1, 2, 81, 2, 5, 1, 1, 2, 2, 1, 8, 2, 1, 1, 1, 1, 19, 1, 5, 7, 1, 1, 183, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand five hundred twenty
Ordinal
135520th
Binary
100001000101100000
Octal
410540
Hexadecimal
0x21160
Base64
AhFg
One's complement
4,294,831,775 (32-bit)
Scientific notation
1.3552 × 10⁵
As a duration
135,520 s = 1 day, 13 hours, 38 minutes, 40 seconds
In other bases
ternary (3) 20212220021
quaternary (4) 201011200
quinary (5) 13314040
senary (6) 2523224
septenary (7) 1103050
nonary (9) 225807
undecimal (11) 92900
duodecimal (12) 66514
tridecimal (13) 498b8
tetradecimal (14) 37560
pentadecimal (15) 2a24a

As an angle

135,520° = 376 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλεφκʹ
Mayan (base 20)
𝋰·𝋲·𝋰·𝋠
Chinese
一十三萬五千五百二十
Chinese (financial)
壹拾參萬伍仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٥٥٢٠ Devanagari १३५५२० Bengali ১৩৫৫২০ Tamil ௧௩௫௫௨௦ Thai ๑๓๕๕๒๐ Tibetan ༡༣༥༥༢༠ Khmer ១៣៥៥២០ Lao ໑໓໕໕໒໐ Burmese ၁၃၅၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135520, here are decompositions:

  • 23 + 135497 = 135520
  • 41 + 135479 = 135520
  • 53 + 135467 = 135520
  • 59 + 135461 = 135520
  • 71 + 135449 = 135520
  • 89 + 135431 = 135520
  • 131 + 135389 = 135520
  • 167 + 135353 = 135520

Showing the first eight; more decompositions exist.

Unicode codepoint
𡅠
CJK Unified Ideograph-21160
U+21160
Other letter (Lo)

UTF-8 encoding: F0 A1 85 A0 (4 bytes).

Hex color
#021160
RGB(2, 17, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.96.

Address
0.2.17.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.96

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 135,520 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