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135,400

135,400 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.).

135,400 (one hundred thirty-five thousand four hundred) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 5² × 677. Its proper divisors sum to 179,870, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x210E8.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
4,531
Square (n²)
18,333,160,000
Cube (n³)
2,482,309,864,000,000
Divisor count
24
σ(n) — sum of divisors
315,270
φ(n) — Euler's totient
54,080
Sum of prime factors
693

Primality

Prime factorization: 2 3 × 5 2 × 677

Nearest primes: 135,391 (−9) · 135,403 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 25 · 40 · 50 · 100 · 200 · 677 · 1354 · 2708 · 3385 · 5416 · 6770 · 13540 · 16925 · 27080 · 33850 · 67700 (half) · 135400
Aliquot sum (sum of proper divisors): 179,870
Factor pairs (a × b = 135,400)
1 × 135400
2 × 67700
4 × 33850
5 × 27080
8 × 16925
10 × 13540
20 × 6770
25 × 5416
40 × 3385
50 × 2708
100 × 1354
200 × 677
First multiples
135,400 · 270,800 (double) · 406,200 · 541,600 · 677,000 · 812,400 · 947,800 · 1,083,200 · 1,218,600 · 1,354,000

Sums & aliquot sequence

As a sum of two squares: 38² + 366² = 66² + 362² = 250² + 270²
As consecutive integers: 27,078 + 27,079 + 27,080 + 27,081 + 27,082 8,455 + 8,456 + … + 8,470 5,404 + 5,405 + … + 5,428 1,653 + 1,654 + … + 1,732
Aliquot sequence: 135,400 179,870 143,914 76,694 42,154 30,134 21,946 10,976 14,224 17,520 37,536 71,328 116,160 289,224 584,376 989,784 1,748,016 — unresolved within range

Continued fraction of √n

√135,400 = [367; (1, 29, 1, 1, 1, 81, 9, 3, 3, 2, 1, 1, 1, 8, 2, 5, 4, 3, 3, 1, 1, 5, 7, 5, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-five thousand four hundred
Ordinal
135400th
Binary
100001000011101000
Octal
410350
Hexadecimal
0x210E8
Base64
AhDo
One's complement
4,294,831,895 (32-bit)
Scientific notation
1.354 × 10⁵
As a duration
135,400 s = 1 day, 13 hours, 36 minutes, 40 seconds
In other bases
ternary (3) 20212201211
quaternary (4) 201003220
quinary (5) 13313100
senary (6) 2522504
septenary (7) 1102516
nonary (9) 225654
undecimal (11) 92801
duodecimal (12) 66434
tridecimal (13) 49825
tetradecimal (14) 374b6
pentadecimal (15) 2a1ba

As an angle

135,400° = 376 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλευʹ
Mayan (base 20)
𝋰·𝋲·𝋪·𝋠
Chinese
一十三萬五千四百
Chinese (financial)
壹拾參萬伍仟肆佰
In other modern scripts
Eastern Arabic ١٣٥٤٠٠ Devanagari १३५४०० Bengali ১৩৫৪০০ Tamil ௧௩௫௪௦௦ Thai ๑๓๕๔๐๐ Tibetan ༡༣༥༤༠༠ Khmer ១៣៥៤០០ Lao ໑໓໕໔໐໐ Burmese ၁၃၅၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135400, here are decompositions:

  • 11 + 135389 = 135400
  • 47 + 135353 = 135400
  • 53 + 135347 = 135400
  • 71 + 135329 = 135400
  • 179 + 135221 = 135400
  • 191 + 135209 = 135400
  • 227 + 135173 = 135400
  • 269 + 135131 = 135400

Showing the first eight; more decompositions exist.

Unicode codepoint
𡃨
CJK Unified Ideograph-210E8
U+210E8
Other letter (Lo)

UTF-8 encoding: F0 A1 83 A8 (4 bytes).

Hex color
#0210E8
RGB(2, 16, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.16.232.

Address
0.2.16.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.16.232

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 135,400 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