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135,390

135,390 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.).

135,390 (one hundred thirty-five thousand three hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,513. Its proper divisors sum to 189,618, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210DE.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
93,531
Square (n²)
18,330,452,100
Cube (n³)
2,481,759,909,819,000
Divisor count
16
σ(n) — sum of divisors
325,008
φ(n) — Euler's totient
36,096
Sum of prime factors
4,523

Primality

Prime factorization: 2 × 3 × 5 × 4513

Nearest primes: 135,389 (−1) · 135,391 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4513 · 9026 · 13539 · 22565 · 27078 · 45130 · 67695 (half) · 135390
Aliquot sum (sum of proper divisors): 189,618
Factor pairs (a × b = 135,390)
1 × 135390
2 × 67695
3 × 45130
5 × 27078
6 × 22565
10 × 13539
15 × 9026
30 × 4513
First multiples
135,390 · 270,780 (double) · 406,170 · 541,560 · 676,950 · 812,340 · 947,730 · 1,083,120 · 1,218,510 · 1,353,900

Sums & aliquot sequence

As consecutive integers: 45,129 + 45,130 + 45,131 33,846 + 33,847 + 33,848 + 33,849 27,076 + 27,077 + 27,078 + 27,079 + 27,080 11,277 + 11,278 + … + 11,288
Aliquot sequence: 135,390 189,618 284,718 366,162 366,174 447,666 447,678 900,162 1,097,262 1,332,594 1,587,258 1,887,642 2,202,288 4,213,968 8,213,808 13,132,048 12,311,326 — unresolved within range

Continued fraction of √n

√135,390 = [367; (1, 20, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 1, 3, 4, 6, 2, 1, 1, 9, 2, 1, 5, …)]

Representations

In words
one hundred thirty-five thousand three hundred ninety
Ordinal
135390th
Binary
100001000011011110
Octal
410336
Hexadecimal
0x210DE
Base64
AhDe
One's complement
4,294,831,905 (32-bit)
Scientific notation
1.3539 × 10⁵
As a duration
135,390 s = 1 day, 13 hours, 36 minutes, 30 seconds
In other bases
ternary (3) 20212201110
quaternary (4) 201003132
quinary (5) 13313030
senary (6) 2522450
septenary (7) 1102503
nonary (9) 225643
undecimal (11) 927a2
duodecimal (12) 66426
tridecimal (13) 49818
tetradecimal (14) 374aa
pentadecimal (15) 2a1b0

As an angle

135,390° = 376 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλετϟʹ
Mayan (base 20)
𝋰·𝋲·𝋩·𝋪
Chinese
一十三萬五千三百九十
Chinese (financial)
壹拾參萬伍仟參佰玖拾
In other modern scripts
Eastern Arabic ١٣٥٣٩٠ Devanagari १३५३९० Bengali ১৩৫৩৯০ Tamil ௧௩௫௩௯௦ Thai ๑๓๕๓๙๐ Tibetan ༡༣༥༣༩༠ Khmer ១៣៥៣៩០ Lao ໑໓໕໓໙໐ Burmese ၁၃၅၃၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135390, here are decompositions:

  • 23 + 135367 = 135390
  • 37 + 135353 = 135390
  • 41 + 135349 = 135390
  • 43 + 135347 = 135390
  • 61 + 135329 = 135390
  • 71 + 135319 = 135390
  • 89 + 135301 = 135390
  • 107 + 135283 = 135390

Showing the first eight; more decompositions exist.

Unicode codepoint
𡃞
CJK Unified Ideograph-210De
U+210DE
Other letter (Lo)

UTF-8 encoding: F0 A1 83 9E (4 bytes).

Hex color
#0210DE
RGB(2, 16, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.222.

Address
0.2.16.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.222

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 135,390 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 135390 first appears in π at position 349,392 of the decimal expansion (the 349,392ordinal-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°.