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135,924

135,924 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.).

135,924 (one hundred thirty-five thousand nine hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 47 × 241. Its proper divisors sum to 189,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x212F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,080
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
429,531
Square (n²)
18,475,333,776
Cube (n³)
2,511,241,268,169,024
Divisor count
24
σ(n) — sum of divisors
325,248
φ(n) — Euler's totient
44,160
Sum of prime factors
295

Primality

Prime factorization: 2 2 × 3 × 47 × 241

Nearest primes: 135,913 (−11) · 135,929 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 47 · 94 · 141 · 188 · 241 · 282 · 482 · 564 · 723 · 964 · 1446 · 2892 · 11327 · 22654 · 33981 · 45308 · 67962 (half) · 135924
Aliquot sum (sum of proper divisors): 189,324
Factor pairs (a × b = 135,924)
1 × 135924
2 × 67962
3 × 45308
4 × 33981
6 × 22654
12 × 11327
47 × 2892
94 × 1446
141 × 964
188 × 723
241 × 564
282 × 482
First multiples
135,924 · 271,848 (double) · 407,772 · 543,696 · 679,620 · 815,544 · 951,468 · 1,087,392 · 1,223,316 · 1,359,240

Sums & aliquot sequence

As consecutive integers: 45,307 + 45,308 + 45,309 16,987 + 16,988 + … + 16,994 5,652 + 5,653 + … + 5,675 2,869 + 2,870 + … + 2,915
Aliquot sequence: 135,924 189,324 301,796 306,364 233,924 175,450 195,620 215,224 188,336 183,664 199,992 339,288 525,672 1,141,578 1,331,880 3,031,320 6,063,000 — unresolved within range

Continued fraction of √n

√135,924 = [368; (1, 2, 8, 1, 7, 1, 1, 2, 1, 1, 7, 1, 8, 2, 1, 736)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand nine hundred twenty-four
Ordinal
135924th
Binary
100001001011110100
Octal
411364
Hexadecimal
0x212F4
Base64
AhL0
One's complement
4,294,831,371 (32-bit)
Scientific notation
1.35924 × 10⁵
As a duration
135,924 s = 1 day, 13 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 20220110020
quaternary (4) 201023310
quinary (5) 13322144
senary (6) 2525140
septenary (7) 1104165
nonary (9) 226406
undecimal (11) 93138
duodecimal (12) 667b0
tridecimal (13) 49b39
tetradecimal (14) 3776c
pentadecimal (15) 2a419

As an angle

135,924° = 377 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλεϡκδʹ
Mayan (base 20)
𝋰·𝋳·𝋰·𝋤
Chinese
一十三萬五千九百二十四
Chinese (financial)
壹拾參萬伍仟玖佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٥٩٢٤ Devanagari १३५९२४ Bengali ১৩৫৯২৪ Tamil ௧௩௫௯௨௪ Thai ๑๓๕๙๒๔ Tibetan ༡༣༥༩༢༤ Khmer ១៣៥៩២៤ Lao ໑໓໕໙໒໔ Burmese ၁၃၅၉၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135924, here are decompositions:

  • 11 + 135913 = 135924
  • 13 + 135911 = 135924
  • 31 + 135893 = 135924
  • 37 + 135887 = 135924
  • 73 + 135851 = 135924
  • 83 + 135841 = 135924
  • 137 + 135787 = 135924
  • 167 + 135757 = 135924

Showing the first eight; more decompositions exist.

Unicode codepoint
𡋴
CJK Unified Ideograph-212F4
U+212F4
Other letter (Lo)

UTF-8 encoding: F0 A1 8B B4 (4 bytes).

Hex color
#0212F4
RGB(2, 18, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.244.

Address
0.2.18.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.244

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 135,924 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°.