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135,730

135,730 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.).

135,730 (one hundred thirty-five thousand seven hundred thirty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5 × 7² × 277. Its proper divisors sum to 149,498, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21232.

Abundant Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
37,531
Square (n²)
18,422,632,900
Cube (n³)
2,500,503,963,517,000
Divisor count
24
σ(n) — sum of divisors
285,228
φ(n) — Euler's totient
46,368
Sum of prime factors
298

Primality

Prime factorization: 2 × 5 × 7 2 × 277

Nearest primes: 135,727 (−3) · 135,731 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 49 · 70 · 98 · 245 · 277 · 490 · 554 · 1385 · 1939 · 2770 · 3878 · 9695 · 13573 · 19390 · 27146 · 67865 (half) · 135730
Aliquot sum (sum of proper divisors): 149,498
Factor pairs (a × b = 135,730)
1 × 135730
2 × 67865
5 × 27146
7 × 19390
10 × 13573
14 × 9695
35 × 3878
49 × 2770
70 × 1939
98 × 1385
245 × 554
277 × 490
First multiples
135,730 · 271,460 (double) · 407,190 · 542,920 · 678,650 · 814,380 · 950,110 · 1,085,840 · 1,221,570 · 1,357,300

Sums & aliquot sequence

As a sum of two squares: 91² + 357² = 231² + 287²
As consecutive integers: 33,931 + 33,932 + 33,933 + 33,934 27,144 + 27,145 + 27,146 + 27,147 + 27,148 19,387 + 19,388 + … + 19,393 6,777 + 6,778 + … + 6,796
Aliquot sequence: 135,730 149,498 87,994 44,000 73,936 69,346 34,676 26,014 13,010 10,426 6,458 3,232 3,194 1,600 2,337 1,023 513 — unresolved within range

Continued fraction of √n

√135,730 = [368; (2, 2, 2, 5, 1, 2, 17, 1, 1, 1, 1, 1, 2, 2, 3, 4, 14, 1, 4, 8, 1, 8, 2, 3, …)]

Representations

In words
one hundred thirty-five thousand seven hundred thirty
Ordinal
135730th
Binary
100001001000110010
Octal
411062
Hexadecimal
0x21232
Base64
AhIy
One's complement
4,294,831,565 (32-bit)
Scientific notation
1.3573 × 10⁵
As a duration
135,730 s = 1 day, 13 hours, 42 minutes, 10 seconds
In other bases
ternary (3) 20220012001
quaternary (4) 201020302
quinary (5) 13320410
senary (6) 2524214
septenary (7) 1103500
nonary (9) 226161
undecimal (11) 92a81
duodecimal (12) 6666a
tridecimal (13) 49a1a
tetradecimal (14) 37670
pentadecimal (15) 2a33a

As an angle

135,730° = 377 × 360° + 10°
10° ≈ 0.175 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλεψλʹ
Mayan (base 20)
𝋰·𝋳·𝋦·𝋪
Chinese
一十三萬五千七百三十
Chinese (financial)
壹拾參萬伍仟柒佰參拾
In other modern scripts
Eastern Arabic ١٣٥٧٣٠ Devanagari १३५७३० Bengali ১৩৫৭৩০ Tamil ௧௩௫௭௩௦ Thai ๑๓๕๗๓๐ Tibetan ༡༣༥༧༣༠ Khmer ១៣៥៧៣០ Lao ໑໓໕໗໓໐ Burmese ၁၃၅၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 135730, here are decompositions:

  • 3 + 135727 = 135730
  • 11 + 135719 = 135730
  • 29 + 135701 = 135730
  • 59 + 135671 = 135730
  • 83 + 135647 = 135730
  • 107 + 135623 = 135730
  • 113 + 135617 = 135730
  • 131 + 135599 = 135730

Showing the first eight; more decompositions exist.

Unicode codepoint
𡈲
CJK Unified Ideograph-21232
U+21232
Other letter (Lo)

UTF-8 encoding: F0 A1 88 B2 (4 bytes).

Hex color
#021232
RGB(2, 18, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.50.

Address
0.2.18.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.50

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 135,730 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 135730 first appears in π at position 260,523 of the decimal expansion (the 260,523ordinal-suffix:rd 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