Live analysis

136,000

136,000 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.).

136,000 (one hundred thirty-six thousand) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5³ × 17. Its proper divisors sum to 220,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21340.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

135,988 135,989 135,990 135,991 135,992 135,993 135,994 135,995 135,996 135,997 135,998 135,999 136,000 136,001 136,002 136,003 136,004 136,005 136,006 136,007 136,008 136,009 136,010 136,011 136,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 18 bits
Reversed: 631
Square (n²): 18,496,000,000
Cube (n³): 2,515,456,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 356,616
φ(n) — Euler's totient: 51,200
Sum of prime factors: 44

Primality

Prime factorization: 2 ⁶ × 5 ³ × 17

Nearest primes: 135,979 (−21) · 136,013 (+13)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 25 · 32 · 34 · 40 · 50 · 64 · 68 · 80 · 85 · 100 · 125 · 136 · 160 · 170 · 200 · 250 · 272 · 320 · 340 · 400 · 425 · 500 · 544 · 680 · 800 · 850 · 1000 · 1088 · 1360 · 1600 · 1700 · 2000 · 2125 · 2720 · 3400 · 4000 · 4250 · 5440 · 6800 · 8000 · 8500 · 13600 · 17000 · 27200 · 34000 · 68000 (half) · 136000

Aliquot sum (sum of proper divisors): 220,616

Factor pairs (a × b = 136,000)

1 × 136000

2 × 68000

4 × 34000

5 × 27200

8 × 17000

10 × 13600

16 × 8500

17 × 8000

20 × 6800

25 × 5440

32 × 4250

34 × 4000

40 × 3400

50 × 2720

64 × 2125

68 × 2000

80 × 1700

85 × 1600

100 × 1360

125 × 1088

136 × 1000

160 × 850

170 × 800

200 × 680

250 × 544

272 × 500

320 × 425

340 × 400

First multiples

136,000 · 272,000 (double) · 408,000 · 544,000 · 680,000 · 816,000 · 952,000 · 1,088,000 · 1,224,000 · 1,360,000

Sums & aliquot sequence

As a sum of two squares: 24² + 368² = 80² + 360² = 152² + 336² = 240² + 280²

As consecutive integers: 27,198 + 27,199 + 27,200 + 27,201 + 27,202 7,992 + 7,993 + … + 8,008 5,428 + 5,429 + … + 5,452 1,558 + 1,559 + … + 1,642

Aliquot sequence: 136,000 → 220,616 → 254,584 → 272,096 → 313,048 → 280,952 → 345,448 → 325,052 → 427,588 → 427,644 → 808,500 → 2,179,212 → 3,632,244 → 6,936,972 → 11,690,868 → 19,485,004 → 24,092,852 — unresolved within range

Continued fraction of √n

√136,000 = [368; (1, 3, 1, 1, 2, 1, 1, 7, 1, 2, 2, 1, 1, 6, 1, 3, 1, 2, 2, 14, 1, 1, 1, 2, …)]

Representations

In words: one hundred thirty-six thousand
Ordinal: 136000th
Binary: 100001001101000000
Octal: 411500
Hexadecimal: 0x21340
Base64: AhNA
One's complement: 4,294,831,295 (32-bit)
Scientific notation: 1.36 × 10⁵
As a duration: 136,000 s = 1 day, 13 hours, 46 minutes, 40 seconds

In other bases

ternary (3) 20220120001

quaternary (4) 201031000

quinary (5) 13323000

senary (6) 2525344

septenary (7) 1104334

nonary (9) 226501

undecimal (11) 931a7

duodecimal (12) 66854

tridecimal (13) 49b97

tetradecimal (14) 377c4

pentadecimal (15) 2a46a

As an angle

136,000° = 377 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ρλϛ
Mayan (base 20): 𝋱·𝋠·𝋠·𝋠
Chinese: 一十三萬六千
Chinese (financial): 壹拾參萬陸仟

In other modern scripts

Eastern Arabic ١٣٦٠٠٠ Devanagari १३६००० Bengali ১৩৬০০০ Tamil ௧௩௬௦௦௦ Thai ๑๓๖๐๐๐ Tibetan ༡༣༦༠༠༠ Khmer ១៣៦០០០ Lao ໑໓໖໐໐໐ Burmese ၁၃၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136000, here are decompositions:

23 + 135977 = 136000
71 + 135929 = 136000
89 + 135911 = 136000
101 + 135899 = 136000
107 + 135893 = 136000
113 + 135887 = 136000
149 + 135851 = 136000
257 + 135743 = 136000

Showing the first eight; more decompositions exist.

Unicode codepoint

𡍀

CJK Unified Ideograph-21340

U+21340

Other letter (Lo)

UTF-8 encoding: F0 A1 8D 80 (4 bytes).

Lookup U+21340 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#021340

RGB(2, 19, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.64.

Address: 0.2.19.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.19.64

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 136,000 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US136,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 136000 first appears in π at position 990,017 of the decimal expansion (the 990,017ordinal-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.

Look up 136000 on Pi Search ↗