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136,640

136,640 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.).

136,640 (one hundred thirty-six thousand six hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 7 × 61. Its proper divisors sum to 241,312, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x215C0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
46,631
Square (n²)
18,670,489,600
Cube (n³)
2,551,135,698,944,000
Divisor count
56
σ(n) — sum of divisors
377,952
φ(n) — Euler's totient
46,080
Sum of prime factors
85

Primality

Prime factorization: 2 6 × 5 × 7 × 61

Nearest primes: 136,621 (−19) · 136,649 (+9)

Divisors & multiples

All divisors (56)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 61 · 64 · 70 · 80 · 112 · 122 · 140 · 160 · 224 · 244 · 280 · 305 · 320 · 427 · 448 · 488 · 560 · 610 · 854 · 976 · 1120 · 1220 · 1708 · 1952 · 2135 · 2240 · 2440 · 3416 · 3904 · 4270 · 4880 · 6832 · 8540 · 9760 · 13664 · 17080 · 19520 · 27328 · 34160 · 68320 (half) · 136640
Aliquot sum (sum of proper divisors): 241,312
Factor pairs (a × b = 136,640)
1 × 136640
2 × 68320
4 × 34160
5 × 27328
7 × 19520
8 × 17080
10 × 13664
14 × 9760
16 × 8540
20 × 6832
28 × 4880
32 × 4270
35 × 3904
40 × 3416
56 × 2440
61 × 2240
64 × 2135
70 × 1952
80 × 1708
112 × 1220
122 × 1120
140 × 976
160 × 854
224 × 610
244 × 560
280 × 488
305 × 448
320 × 427
First multiples
136,640 · 273,280 (double) · 409,920 · 546,560 · 683,200 · 819,840 · 956,480 · 1,093,120 · 1,229,760 · 1,366,400

Sums & aliquot sequence

As a sum of two cubes: 34³ + 46³
As consecutive integers: 27,326 + 27,327 + 27,328 + 27,329 + 27,330 19,517 + 19,518 + … + 19,523 3,887 + 3,888 + … + 3,921 2,210 + 2,211 + … + 2,270
Aliquot sequence: 136,640 241,312 233,834 125,206 62,606 35,458 17,732 19,900 23,500 28,916 21,694 10,850 12,958 10,082 5,257 759 393 — unresolved within range

Continued fraction of √n

√136,640 = [369; (1, 1, 1, 5, 2, 3, 1, 10, 1, 3, 2, 5, 1, 1, 1, 738)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand six hundred forty
Ordinal
136640th
Binary
100001010111000000
Octal
412700
Hexadecimal
0x215C0
Base64
AhXA
One's complement
4,294,830,655 (32-bit)
Scientific notation
1.3664 × 10⁵
As a duration
136,640 s = 1 day, 13 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 20221102202
quaternary (4) 201113000
quinary (5) 13333030
senary (6) 2532332
septenary (7) 1106240
nonary (9) 227382
undecimal (11) 93729
duodecimal (12) 670a8
tridecimal (13) 4a26a
tetradecimal (14) 37b20
pentadecimal (15) 2a745

As an angle

136,640° = 379 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛχμʹ
Mayan (base 20)
𝋱·𝋡·𝋬·𝋠
Chinese
一十三萬六千六百四十
Chinese (financial)
壹拾參萬陸仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٣٦٦٤٠ Devanagari १३६६४० Bengali ১৩৬৬৪০ Tamil ௧௩௬௬௪௦ Thai ๑๓๖๖๔๐ Tibetan ༡༣༦༦༤༠ Khmer ១៣៦៦៤០ Lao ໑໓໖໖໔໐ Burmese ၁၃၆၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136640, here are decompositions:

  • 19 + 136621 = 136640
  • 37 + 136603 = 136640
  • 67 + 136573 = 136640
  • 103 + 136537 = 136640
  • 109 + 136531 = 136640
  • 139 + 136501 = 136640
  • 157 + 136483 = 136640
  • 193 + 136447 = 136640

Showing the first eight; more decompositions exist.

Unicode codepoint
𡗀
CJK Unified Ideograph-215C0
U+215C0
Other letter (Lo)

UTF-8 encoding: F0 A1 97 80 (4 bytes).

Hex color
#0215C0
RGB(2, 21, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.192.

Address
0.2.21.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.192

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 136,640 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 136640 first appears in π at position 24,716 of the decimal expansion (the 24,716ordinal-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.