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135,424

135,424 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.).

135,424 (one hundred thirty-five thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 27 divisors, and factors as 2⁸ × 23². Its proper divisors sum to 147,159, more than the number itself, making it an abundant number. It is a perfect square (368²). Written other ways, in hexadecimal, 0x21100.

Abundant Number Frugal Number Odious Number Perfect Square Pernicious Number Powerful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
480
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
424,531
Square (n²)
18,339,659,776
Cube (n³)
2,483,630,085,505,024
Square root (√n)
368
Divisor count
27
σ(n) — sum of divisors
282,583
φ(n) — Euler's totient
64,768
Sum of prime factors
62

Primality

Prime factorization: 2 8 × 23 2

Nearest primes: 135,409 (−15) · 135,427 (+3)

Divisors & multiples

All divisors (27)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 64 · 92 · 128 · 184 · 256 · 368 · 529 · 736 · 1058 · 1472 · 2116 · 2944 · 4232 · 5888 · 8464 · 16928 · 33856 · 67712 (half) · 135424
Aliquot sum (sum of proper divisors): 147,159
Factor pairs (a × b = 135,424)
1 × 135424
2 × 67712
4 × 33856
8 × 16928
16 × 8464
23 × 5888
32 × 4232
46 × 2944
64 × 2116
92 × 1472
128 × 1058
184 × 736
256 × 529
368 × 368
First multiples
135,424 · 270,848 (double) · 406,272 · 541,696 · 677,120 · 812,544 · 947,968 · 1,083,392 · 1,218,816 · 1,354,240

Sums & aliquot sequence

As a sum of two squares: 0² + 368²
As consecutive integers: 5,877 + 5,878 + … + 5,899 9 + 10 + … + 520
Aliquot sequence: 135,424 147,159 69,057 30,705 21,135 12,705 12,831 8,673 5,007 1,673 247 33 15 9 4 3 1 — unresolved within range

Representations

In words
one hundred thirty-five thousand four hundred twenty-four
Ordinal
135424th
Binary
100001000100000000
Octal
410400
Hexadecimal
0x21100
Base64
AhEA
One's complement
4,294,831,871 (32-bit)
Scientific notation
1.35424 × 10⁵
As a duration
135,424 s = 1 day, 13 hours, 37 minutes, 4 seconds
In other bases
ternary (3) 20212202201
quaternary (4) 201010000
quinary (5) 13313144
senary (6) 2522544
septenary (7) 1102552
nonary (9) 225681
undecimal (11) 92823
duodecimal (12) 66454
tridecimal (13) 49843
tetradecimal (14) 374d2
pentadecimal (15) 2a1d4

As an angle

135,424° = 376 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλευκδʹ
Mayan (base 20)
𝋰·𝋲·𝋫·𝋤
Chinese
一十三萬五千四百二十四
Chinese (financial)
壹拾參萬伍仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٥٤٢٤ Devanagari १३५४२४ Bengali ১৩৫৪২৪ Tamil ௧௩௫௪௨௪ Thai ๑๓๕๔๒๔ Tibetan ༡༣༥༤༢༤ Khmer ១៣៥៤២៤ Lao ໑໓໕໔໒໔ Burmese ၁၃၅၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135424, here are decompositions:

  • 71 + 135353 = 135424
  • 167 + 135257 = 135424
  • 227 + 135197 = 135424
  • 251 + 135173 = 135424
  • 293 + 135131 = 135424
  • 347 + 135077 = 135424
  • 503 + 134921 = 135424
  • 557 + 134867 = 135424

Showing the first eight; more decompositions exist.

Unicode codepoint
𡄀
CJK Unified Ideograph-21100
U+21100
Other letter (Lo)

UTF-8 encoding: F0 A1 84 80 (4 bytes).

Hex color
#021100
RGB(2, 17, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.17.0.

Address
0.2.17.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.17.0

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 135,424 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 135424 first appears in π at position 252,839 of the decimal expansion (the 252,839ordinal-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