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136,040

136,040 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.).

136,040 (one hundred thirty-six thousand forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 19 × 179. Its proper divisors sum to 187,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21368.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
40,631
Square (n²)
18,506,881,600
Cube (n³)
2,517,676,172,864,000
Divisor count
32
σ(n) — sum of divisors
324,000
φ(n) — Euler's totient
51,264
Sum of prime factors
209

Primality

Prime factorization: 2 3 × 5 × 19 × 179

Nearest primes: 136,033 (−7) · 136,043 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 38 · 40 · 76 · 95 · 152 · 179 · 190 · 358 · 380 · 716 · 760 · 895 · 1432 · 1790 · 3401 · 3580 · 6802 · 7160 · 13604 · 17005 · 27208 · 34010 · 68020 (half) · 136040
Aliquot sum (sum of proper divisors): 187,960
Factor pairs (a × b = 136,040)
1 × 136040
2 × 68020
4 × 34010
5 × 27208
8 × 17005
10 × 13604
19 × 7160
20 × 6802
38 × 3580
40 × 3401
76 × 1790
95 × 1432
152 × 895
179 × 760
190 × 716
358 × 380
First multiples
136,040 · 272,080 (double) · 408,120 · 544,160 · 680,200 · 816,240 · 952,280 · 1,088,320 · 1,224,360 · 1,360,400

Sums & aliquot sequence

As consecutive integers: 27,206 + 27,207 + 27,208 + 27,209 + 27,210 8,495 + 8,496 + … + 8,510 7,151 + 7,152 + … + 7,169 1,661 + 1,662 + … + 1,740
Aliquot sequence: 136,040 187,960 249,800 331,450 373,862 197,674 98,840 156,040 206,840 258,640 364,088 329,272 297,128 303,052 231,188 187,552 181,754 — unresolved within range

Continued fraction of √n

√136,040 = [368; (1, 5, 10, 4, 2, 14, 1, 1, 1, 1, 3, 1, 8, 1, 1, 4, 18, 4, 1, 1, 8, 1, 3, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand forty
Ordinal
136040th
Binary
100001001101101000
Octal
411550
Hexadecimal
0x21368
Base64
AhNo
One's complement
4,294,831,255 (32-bit)
Scientific notation
1.3604 × 10⁵
As a duration
136,040 s = 1 day, 13 hours, 47 minutes, 20 seconds
In other bases
ternary (3) 20220121112
quaternary (4) 201031220
quinary (5) 13323130
senary (6) 2525452
septenary (7) 1104422
nonary (9) 226545
undecimal (11) 93233
duodecimal (12) 66888
tridecimal (13) 49bc8
tetradecimal (14) 37812
pentadecimal (15) 2a495

As an angle

136,040° = 377 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛμʹ
Mayan (base 20)
𝋱·𝋠·𝋢·𝋠
Chinese
一十三萬六千零四十
Chinese (financial)
壹拾參萬陸仟零肆拾
In other modern scripts
Eastern Arabic ١٣٦٠٤٠ Devanagari १३६०४० Bengali ১৩৬০৪০ Tamil ௧௩௬௦௪௦ Thai ๑๓๖๐๔๐ Tibetan ༡༣༦༠༤༠ Khmer ១៣៦០៤០ Lao ໑໓໖໐໔໐ Burmese ၁၃၆၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136040, here are decompositions:

  • 7 + 136033 = 136040
  • 13 + 136027 = 136040
  • 61 + 135979 = 136040
  • 103 + 135937 = 136040
  • 127 + 135913 = 136040
  • 181 + 135859 = 136040
  • 199 + 135841 = 136040
  • 211 + 135829 = 136040

Showing the first eight; more decompositions exist.

Unicode codepoint
𡍨
CJK Unified Ideograph-21368
U+21368
Other letter (Lo)

UTF-8 encoding: F0 A1 8D A8 (4 bytes).

Hex color
#021368
RGB(2, 19, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.19.104.

Address
0.2.19.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.19.104

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 136,040 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 136040 first appears in π at position 781,979 of the decimal expansion (the 781,979ordinal-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.