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136,709

136,709 is a prime, odd.

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.).

136,709 (one hundred thirty-six thousand seven hundred nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21605.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
907,631
Square (n²)
18,689,350,681
Cube (n³)
2,555,002,442,248,829
Divisor count
2
σ(n) — sum of divisors
136,710
φ(n) — Euler's totient
136,708

Primality

136,709 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136709
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,709)
1 × 136709
First multiples
136,709 · 273,418 (double) · 410,127 · 546,836 · 683,545 · 820,254 · 956,963 · 1,093,672 · 1,230,381 · 1,367,090

Sums & aliquot sequence

As a sum of two squares: 110² + 353²
As consecutive integers: 68,354 + 68,355

Continued fraction of √n

√136,709 = [369; (1, 2, 1, 6, 1, 6, 1, 10, 1, 1, 66, 1, 2, 2, 1, 1, 1, 13, 1, 1, 2, 4, 7, 5, …)]

Representations

In words
one hundred thirty-six thousand seven hundred nine
Ordinal
136709th
Binary
100001011000000101
Octal
413005
Hexadecimal
0x21605
Base64
AhYF
One's complement
4,294,830,586 (32-bit)
Scientific notation
1.36709 × 10⁵
As a duration
136,709 s = 1 day, 13 hours, 58 minutes, 29 seconds
In other bases
ternary (3) 20221112022
quaternary (4) 201120011
quinary (5) 13333314
senary (6) 2532525
septenary (7) 1106366
nonary (9) 227468
undecimal (11) 93791
duodecimal (12) 67145
tridecimal (13) 4a2c1
tetradecimal (14) 37b6d
pentadecimal (15) 2a78e

As an angle

136,709° = 379 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛψθʹ
Mayan (base 20)
𝋱·𝋡·𝋯·𝋩
Chinese
一十三萬六千七百零九
Chinese (financial)
壹拾參萬陸仟柒佰零玖
In other modern scripts
Eastern Arabic ١٣٦٧٠٩ Devanagari १३६७०९ Bengali ১৩৬৭০৯ Tamil ௧௩௬௭௦௯ Thai ๑๓๖๗๐๙ Tibetan ༡༣༦༧༠༩ Khmer ១៣៦៧០៩ Lao ໑໓໖໗໐໙ Burmese ၁၃၆၇၀၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136711.

Unicode codepoint
𡘅
CJK Unified Ideograph-21605
U+21605
Other letter (Lo)

UTF-8 encoding: F0 A1 98 85 (4 bytes).

Hex color
#021605
RGB(2, 22, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.5.

Address
0.2.22.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.5

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 136,709 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.