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135,464

135,464 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.).

135,464 (one hundred thirty-five thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 41 × 59. Its proper divisors sum to 166,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21128.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,440
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
464,531
Square (n²)
18,350,495,296
Cube (n³)
2,485,831,494,777,344
Divisor count
32
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
55,680
Sum of prime factors
113

Primality

Prime factorization: 2 3 × 7 × 41 × 59

Nearest primes: 135,463 (−1) · 135,467 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 41 · 56 · 59 · 82 · 118 · 164 · 236 · 287 · 328 · 413 · 472 · 574 · 826 · 1148 · 1652 · 2296 · 2419 · 3304 · 4838 · 9676 · 16933 · 19352 · 33866 · 67732 (half) · 135464
Aliquot sum (sum of proper divisors): 166,936
Factor pairs (a × b = 135,464)
1 × 135464
2 × 67732
4 × 33866
7 × 19352
8 × 16933
14 × 9676
28 × 4838
41 × 3304
56 × 2419
59 × 2296
82 × 1652
118 × 1148
164 × 826
236 × 574
287 × 472
328 × 413
First multiples
135,464 · 270,928 (double) · 406,392 · 541,856 · 677,320 · 812,784 · 948,248 · 1,083,712 · 1,219,176 · 1,354,640

Sums & aliquot sequence

As consecutive integers: 19,349 + 19,350 + … + 19,355 8,459 + 8,460 + … + 8,474 3,284 + 3,285 + … + 3,324 2,267 + 2,268 + … + 2,325
Aliquot sequence: 135,464 166,936 224,744 229,276 194,756 149,224 143,096 134,344 153,656 134,464 158,144 201,520 311,840 425,260 549,476 412,114 295,214 — unresolved within range

Continued fraction of √n

√135,464 = [368; (18, 2, 2, 29, 23, 1, 2, 2, 6, 1, 2, 1, 1, 3, 1, 3, 1, 1, 2, 1, 6, 2, 2, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand four hundred sixty-four
Ordinal
135464th
Binary
100001000100101000
Octal
410450
Hexadecimal
0x21128
Base64
AhEo
One's complement
4,294,831,831 (32-bit)
Scientific notation
1.35464 × 10⁵
As a duration
135,464 s = 1 day, 13 hours, 37 minutes, 44 seconds
In other bases
ternary (3) 20212211012
quaternary (4) 201010220
quinary (5) 13313324
senary (6) 2523052
septenary (7) 1102640
nonary (9) 225735
undecimal (11) 9285a
duodecimal (12) 66488
tridecimal (13) 49874
tetradecimal (14) 37520
pentadecimal (15) 2a20e

As an angle

135,464° = 376 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλευξδʹ
Mayan (base 20)
𝋰·𝋲·𝋭·𝋤
Chinese
一十三萬五千四百六十四
Chinese (financial)
壹拾參萬伍仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٥٤٦٤ Devanagari १३५४६४ Bengali ১৩৫৪৬৪ Tamil ௧௩௫௪௬௪ Thai ๑๓๕๔๖๔ Tibetan ༡༣༥༤༦༤ Khmer ១៣៥៤៦៤ Lao ໑໓໕໔໖໔ Burmese ၁၃၅၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135464, here are decompositions:

  • 3 + 135461 = 135464
  • 31 + 135433 = 135464
  • 37 + 135427 = 135464
  • 61 + 135403 = 135464
  • 73 + 135391 = 135464
  • 97 + 135367 = 135464
  • 163 + 135301 = 135464
  • 181 + 135283 = 135464

Showing the first eight; more decompositions exist.

Unicode codepoint
𡄨
CJK Unified Ideograph-21128
U+21128
Other letter (Lo)

UTF-8 encoding: F0 A1 84 A8 (4 bytes).

Hex color
#021128
RGB(2, 17, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.40.

Address
0.2.17.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.40

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 135,464 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 135464 first appears in π at position 867,607 of the decimal expansion (the 867,607ordinal-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

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