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136,949

136,949 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.).

136,949 (one hundred thirty-six thousand nine hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x216F5.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,832
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
949,631
Square (n²)
18,755,028,601
Cube (n³)
2,568,482,411,878,349
Divisor count
2
σ(n) — sum of divisors
136,950
φ(n) — Euler's totient
136,948

Primality

136,949 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 136949
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 136,949)
1 × 136949
First multiples
136,949 · 273,898 (double) · 410,847 · 547,796 · 684,745 · 821,694 · 958,643 · 1,095,592 · 1,232,541 · 1,369,490

Sums & aliquot sequence

As a sum of two squares: 7² + 370²
As consecutive integers: 68,474 + 68,475

Continued fraction of √n

√136,949 = [370; (15, 9, 1, 2, 20, 1, 4, 20, 1, 17, 10, 12, 29, 1, 1, 10, 1, 1, 6, 36, 1, 5, 1, 4, …)]

Representations

In words
one hundred thirty-six thousand nine hundred forty-nine
Ordinal
136949th
Binary
100001011011110101
Octal
413365
Hexadecimal
0x216F5
Base64
Ahb1
One's complement
4,294,830,346 (32-bit)
Scientific notation
1.36949 × 10⁵
As a duration
136,949 s = 1 day, 14 hours, 2 minutes, 29 seconds
In other bases
ternary (3) 20221212012
quaternary (4) 201123311
quinary (5) 13340244
senary (6) 2534005
septenary (7) 1110161
nonary (9) 227765
undecimal (11) 9398a
duodecimal (12) 67305
tridecimal (13) 4a447
tetradecimal (14) 37ca1
pentadecimal (15) 2a89e

As an angle

136,949° = 380 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛϡμθʹ
Mayan (base 20)
𝋱·𝋢·𝋧·𝋩
Chinese
一十三萬六千九百四十九
Chinese (financial)
壹拾參萬陸仟玖佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٦٩٤٩ Devanagari १३६९४९ Bengali ১৩৬৯৪৯ Tamil ௧௩௬௯௪௯ Thai ๑๓๖๙๔๙ Tibetan ༡༣༦༩༤༩ Khmer ១៣៦៩៤៩ Lao ໑໓໖໙໔໙ Burmese ၁၃၆၉၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 136951, sexy with 136943.

Unicode codepoint
𡛵
CJK Unified Ideograph-216F5
U+216F5
Other letter (Lo)

UTF-8 encoding: F0 A1 9B B5 (4 bytes).

Hex color
#0216F5
RGB(2, 22, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.245.

Address
0.2.22.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.245

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 136,949 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 136949 first appears in π at position 207,447 of the decimal expansion (the 207,447ordinal-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

  • 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.