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135,960

135,960 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.).

135,960 (one hundred thirty-five thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 11 × 103. Its proper divisors sum to 313,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21318.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
69,531
Square (n²)
18,485,121,600
Cube (n³)
2,513,237,132,736,000
Divisor count
64
σ(n) — sum of divisors
449,280
φ(n) — Euler's totient
32,640
Sum of prime factors
128

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 103

Nearest primes: 135,937 (−23) · 135,977 (+17)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 55 · 60 · 66 · 88 · 103 · 110 · 120 · 132 · 165 · 206 · 220 · 264 · 309 · 330 · 412 · 440 · 515 · 618 · 660 · 824 · 1030 · 1133 · 1236 · 1320 · 1545 · 2060 · 2266 · 2472 · 3090 · 3399 · 4120 · 4532 · 5665 · 6180 · 6798 · 9064 · 11330 · 12360 · 13596 · 16995 · 22660 · 27192 · 33990 · 45320 · 67980 (half) · 135960
Aliquot sum (sum of proper divisors): 313,320
Factor pairs (a × b = 135,960)
1 × 135960
2 × 67980
3 × 45320
4 × 33990
5 × 27192
6 × 22660
8 × 16995
10 × 13596
11 × 12360
12 × 11330
15 × 9064
20 × 6798
22 × 6180
24 × 5665
30 × 4532
33 × 4120
40 × 3399
44 × 3090
55 × 2472
60 × 2266
66 × 2060
88 × 1545
103 × 1320
110 × 1236
120 × 1133
132 × 1030
165 × 824
206 × 660
220 × 618
264 × 515
309 × 440
330 × 412
First multiples
135,960 · 271,920 (double) · 407,880 · 543,840 · 679,800 · 815,760 · 951,720 · 1,087,680 · 1,223,640 · 1,359,600

Sums & aliquot sequence

As consecutive integers: 45,319 + 45,320 + 45,321 27,190 + 27,191 + 27,192 + 27,193 + 27,194 12,355 + 12,356 + … + 12,365 9,057 + 9,058 + … + 9,071
Aliquot sequence: 135,960 313,320 763,800 1,765,800 4,423,350 6,857,178 6,857,190 11,675,610 19,894,950 34,930,410 53,835,222 76,444,890 107,022,918 107,355,642 107,355,654 159,086,106 198,127,674 — unresolved within range

Continued fraction of √n

√135,960 = [368; (1, 2, 1, 2, 30, 2, 1, 2, 1, 736)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred sixty
Ordinal
135960th
Binary
100001001100011000
Octal
411430
Hexadecimal
0x21318
Base64
AhMY
One's complement
4,294,831,335 (32-bit)
Scientific notation
1.3596 × 10⁵
As a duration
135,960 s = 1 day, 13 hours, 46 minutes
In other bases
ternary (3) 20220111120
quaternary (4) 201030120
quinary (5) 13322320
senary (6) 2525240
septenary (7) 1104246
nonary (9) 226446
undecimal (11) 93170
duodecimal (12) 66820
tridecimal (13) 49b66
tetradecimal (14) 37796
pentadecimal (15) 2a440

As an angle

135,960° = 377 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλεϡξʹ
Mayan (base 20)
𝋰·𝋳·𝋲·𝋠
Chinese
一十三萬五千九百六十
Chinese (financial)
壹拾參萬伍仟玖佰陸拾
In other modern scripts
Eastern Arabic ١٣٥٩٦٠ Devanagari १३५९६० Bengali ১৩৫৯৬০ Tamil ௧௩௫௯௬௦ Thai ๑๓๕๙๖๐ Tibetan ༡༣༥༩༦༠ Khmer ១៣៥៩៦០ Lao ໑໓໕໙໖໐ Burmese ၁၃၅၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135960, here are decompositions:

  • 23 + 135937 = 135960
  • 31 + 135929 = 135960
  • 47 + 135913 = 135960
  • 61 + 135899 = 135960
  • 67 + 135893 = 135960
  • 73 + 135887 = 135960
  • 101 + 135859 = 135960
  • 109 + 135851 = 135960

Showing the first eight; more decompositions exist.

Unicode codepoint
𡌘
CJK Unified Ideograph-21318
U+21318
Other letter (Lo)

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

Hex color
#021318
RGB(2, 19, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.24.

Address
0.2.19.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.24

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 135,960 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 135960 first appears in π at position 623,298 of the decimal expansion (the 623,298ordinal-suffix:th 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°.