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136,340

136,340 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.).

136,340 (one hundred thirty-six thousand three hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 401. Its proper divisors sum to 167,572, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21494.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
43,631
Square (n²)
18,588,595,600
Cube (n³)
2,534,369,124,104,000
Divisor count
24
σ(n) — sum of divisors
303,912
φ(n) — Euler's totient
51,200
Sum of prime factors
427

Primality

Prime factorization: 2 2 × 5 × 17 × 401

Nearest primes: 136,337 (−3) · 136,343 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 34 · 68 · 85 · 170 · 340 · 401 · 802 · 1604 · 2005 · 4010 · 6817 · 8020 · 13634 · 27268 · 34085 · 68170 (half) · 136340
Aliquot sum (sum of proper divisors): 167,572
Factor pairs (a × b = 136,340)
1 × 136340
2 × 68170
4 × 34085
5 × 27268
10 × 13634
17 × 8020
20 × 6817
34 × 4010
68 × 2005
85 × 1604
170 × 802
340 × 401
First multiples
136,340 · 272,680 (double) · 409,020 · 545,360 · 681,700 · 818,040 · 954,380 · 1,090,720 · 1,227,060 · 1,363,400

Sums & aliquot sequence

As a sum of two squares: 62² + 364² = 98² + 356² = 226² + 292² = 254² + 268²
As consecutive integers: 27,266 + 27,267 + 27,268 + 27,269 + 27,270 17,039 + 17,040 + … + 17,046 8,012 + 8,013 + … + 8,028 3,389 + 3,390 + … + 3,428
Aliquot sequence: 136,340 167,572 125,686 88,154 56,134 40,634 25,894 17,198 8,602 6,950 6,070 4,874 2,440 3,140 3,496 3,704 3,256 — unresolved within range

Continued fraction of √n

√136,340 = [369; (4, 8, 20, 1, 45, 4, 1, 14, 3, 1, 2, 2, 1, 45, 2, 4, 1, 3, 1, 1, 4, 3, 184, 3, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand three hundred forty
Ordinal
136340th
Binary
100001010010010100
Octal
412224
Hexadecimal
0x21494
Base64
AhSU
One's complement
4,294,830,955 (32-bit)
Scientific notation
1.3634 × 10⁵
As a duration
136,340 s = 1 day, 13 hours, 52 minutes, 20 seconds
In other bases
ternary (3) 20221000122
quaternary (4) 201102110
quinary (5) 13330330
senary (6) 2531112
septenary (7) 1105331
nonary (9) 227018
undecimal (11) 93486
duodecimal (12) 66a98
tridecimal (13) 4a099
tetradecimal (14) 37988
pentadecimal (15) 2a5e5

As an angle

136,340° = 378 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛτμʹ
Mayan (base 20)
𝋱·𝋠·𝋱·𝋠
Chinese
一十三萬六千三百四十
Chinese (financial)
壹拾參萬陸仟參佰肆拾
In other modern scripts
Eastern Arabic ١٣٦٣٤٠ Devanagari १३६३४० Bengali ১৩৬৩৪০ Tamil ௧௩௬௩௪௦ Thai ๑๓๖๓๔๐ Tibetan ༡༣༦༣༤༠ Khmer ១៣៦៣៤០ Lao ໑໓໖໓໔໐ Burmese ၁၃၆၃၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136340, here are decompositions:

  • 3 + 136337 = 136340
  • 7 + 136333 = 136340
  • 13 + 136327 = 136340
  • 31 + 136309 = 136340
  • 37 + 136303 = 136340
  • 67 + 136273 = 136340
  • 79 + 136261 = 136340
  • 103 + 136237 = 136340

Showing the first eight; more decompositions exist.

Unicode codepoint
𡒔
CJK Unified Ideograph-21494
U+21494
Other letter (Lo)

UTF-8 encoding: F0 A1 92 94 (4 bytes).

Hex color
#021494
RGB(2, 20, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.20.148.

Address
0.2.20.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.20.148

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 136,340 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 136340 first appears in π at position 58,839 of the decimal expansion (the 58,839ordinal-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

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