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135,240

135,240 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.).

135,240 (one hundred thirty-five thousand two hundred forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5 × 7² × 23. Its proper divisors sum to 357,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21048.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
42,531
Square (n²)
18,289,857,600
Cube (n³)
2,473,520,341,824,000
Divisor count
96
σ(n) — sum of divisors
492,480
φ(n) — Euler's totient
29,568
Sum of prime factors
51

Primality

Prime factorization: 2 3 × 3 × 5 × 7 2 × 23

Nearest primes: 135,221 (−19) · 135,241 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 23 · 24 · 28 · 30 · 35 · 40 · 42 · 46 · 49 · 56 · 60 · 69 · 70 · 84 · 92 · 98 · 105 · 115 · 120 · 138 · 140 · 147 · 161 · 168 · 184 · 196 · 210 · 230 · 245 · 276 · 280 · 294 · 322 · 345 · 392 · 420 · 460 · 483 · 490 · 552 · 588 · 644 · 690 · 735 · 805 · 840 · 920 · 966 · 980 · 1127 · 1176 · 1288 · 1380 · 1470 · 1610 · 1932 · 1960 · 2254 · 2415 · 2760 · 2940 · 3220 · 3381 · 3864 · 4508 · 4830 · 5635 · 5880 · 6440 · 6762 · 9016 · 9660 · 11270 · 13524 · 16905 · 19320 · 22540 · 27048 · 33810 · 45080 · 67620 (half) · 135240
Aliquot sum (sum of proper divisors): 357,240
Factor pairs (a × b = 135,240)
1 × 135240
2 × 67620
3 × 45080
4 × 33810
5 × 27048
6 × 22540
7 × 19320
8 × 16905
10 × 13524
12 × 11270
14 × 9660
15 × 9016
20 × 6762
21 × 6440
23 × 5880
24 × 5635
28 × 4830
30 × 4508
35 × 3864
40 × 3381
42 × 3220
46 × 2940
49 × 2760
56 × 2415
60 × 2254
69 × 1960
70 × 1932
84 × 1610
92 × 1470
98 × 1380
105 × 1288
115 × 1176
120 × 1127
138 × 980
140 × 966
147 × 920
161 × 840
168 × 805
184 × 735
196 × 690
210 × 644
230 × 588
245 × 552
276 × 490
280 × 483
294 × 460
322 × 420
345 × 392
First multiples
135,240 · 270,480 (double) · 405,720 · 540,960 · 676,200 · 811,440 · 946,680 · 1,081,920 · 1,217,160 · 1,352,400

Sums & aliquot sequence

As consecutive integers: 45,079 + 45,080 + 45,081 27,046 + 27,047 + 27,048 + 27,049 + 27,050 19,317 + 19,318 + … + 19,323 9,009 + 9,010 + … + 9,023
Aliquot sequence: 135,240 357,240 801,960 1,677,720 4,128,360 8,257,080 19,160,520 38,321,400 97,607,400 247,370,520 527,015,400 1,106,734,200 2,924,257,800 6,140,943,240 12,281,886,840 — keeps growing

Continued fraction of √n

√135,240 = [367; (1, 2, 1, 734)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand two hundred forty
Ordinal
135240th
Binary
100001000001001000
Octal
410110
Hexadecimal
0x21048
Base64
AhBI
One's complement
4,294,832,055 (32-bit)
Scientific notation
1.3524 × 10⁵
As a duration
135,240 s = 1 day, 13 hours, 34 minutes
In other bases
ternary (3) 20212111220
quaternary (4) 201001020
quinary (5) 13311430
senary (6) 2522040
septenary (7) 1102200
nonary (9) 225456
undecimal (11) 92676
duodecimal (12) 66320
tridecimal (13) 49731
tetradecimal (14) 37400
pentadecimal (15) 2a110

As an angle

135,240° = 375 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεσμʹ
Mayan (base 20)
𝋰·𝋲·𝋢·𝋠
Chinese
一十三萬五千二百四十
Chinese (financial)
壹拾參萬伍仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٣٥٢٤٠ Devanagari १३५२४० Bengali ১৩৫২৪০ Tamil ௧௩௫௨௪௦ Thai ๑๓๕๒๔๐ Tibetan ༡༣༥༢༤༠ Khmer ១៣៥២៤០ Lao ໑໓໕໒໔໐ Burmese ၁၃၅၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135240, here are decompositions:

  • 19 + 135221 = 135240
  • 29 + 135211 = 135240
  • 31 + 135209 = 135240
  • 43 + 135197 = 135240
  • 47 + 135193 = 135240
  • 59 + 135181 = 135240
  • 67 + 135173 = 135240
  • 89 + 135151 = 135240

Showing the first eight; more decompositions exist.

Unicode codepoint
𡁈
CJK Unified Ideograph-21048
U+21048
Other letter (Lo)

UTF-8 encoding: F0 A1 81 88 (4 bytes).

Hex color
#021048
RGB(2, 16, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.72.

Address
0.2.16.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.72

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 135,240 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

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