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136,520

136,520 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.).

136,520 (one hundred thirty-six thousand five hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,413. Its proper divisors sum to 170,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21548.

Abundant Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
25,631
Square (n²)
18,637,710,400
Cube (n³)
2,544,420,223,808,000
Divisor count
16
σ(n) — sum of divisors
307,260
φ(n) — Euler's totient
54,592
Sum of prime factors
3,424

Primality

Prime factorization: 2 3 × 5 × 3413

Nearest primes: 136,519 (−1) · 136,523 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3413 · 6826 · 13652 · 17065 · 27304 · 34130 · 68260 (half) · 136520
Aliquot sum (sum of proper divisors): 170,740
Factor pairs (a × b = 136,520)
1 × 136520
2 × 68260
4 × 34130
5 × 27304
8 × 17065
10 × 13652
20 × 6826
40 × 3413
First multiples
136,520 · 273,040 (double) · 409,560 · 546,080 · 682,600 · 819,120 · 955,640 · 1,092,160 · 1,228,680 · 1,365,200

Sums & aliquot sequence

As a sum of two squares: 74² + 362² = 158² + 334²
As consecutive integers: 27,302 + 27,303 + 27,304 + 27,305 + 27,306 8,525 + 8,526 + … + 8,540 1,667 + 1,668 + … + 1,746
Aliquot sequence: 136,520 170,740 187,856 184,144 194,180 303,100 450,324 851,340 1,874,292 3,230,220 7,107,828 14,267,148 26,826,996 44,982,924 74,971,764 158,937,996 264,896,884 — unresolved within range

Continued fraction of √n

√136,520 = [369; (2, 17, 1, 1, 9, 1, 8, 2, 4, 2, 2, 1, 1, 1, 3, 1, 6, 1, 183, 1, 6, 1, 3, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand five hundred twenty
Ordinal
136520th
Binary
100001010101001000
Octal
412510
Hexadecimal
0x21548
Base64
AhVI
One's complement
4,294,830,775 (32-bit)
Scientific notation
1.3652 × 10⁵
As a duration
136,520 s = 1 day, 13 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 20221021022
quaternary (4) 201111020
quinary (5) 13332040
senary (6) 2532012
septenary (7) 1106006
nonary (9) 227238
undecimal (11) 9362a
duodecimal (12) 67008
tridecimal (13) 4a1a7
tetradecimal (14) 37a76
pentadecimal (15) 2a6b5

As an angle

136,520° = 379 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλϛφκʹ
Mayan (base 20)
𝋱·𝋡·𝋦·𝋠
Chinese
一十三萬六千五百二十
Chinese (financial)
壹拾參萬陸仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٣٦٥٢٠ Devanagari १३६५२० Bengali ১৩৬৫২০ Tamil ௧௩௬௫௨௦ Thai ๑๓๖๕๒๐ Tibetan ༡༣༦༥༢༠ Khmer ១៣៦៥២០ Lao ໑໓໖໕໒໐ Burmese ၁၃၆၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136520, here are decompositions:

  • 19 + 136501 = 136520
  • 37 + 136483 = 136520
  • 67 + 136453 = 136520
  • 73 + 136447 = 136520
  • 103 + 136417 = 136520
  • 127 + 136393 = 136520
  • 193 + 136327 = 136520
  • 211 + 136309 = 136520

Showing the first eight; more decompositions exist.

Unicode codepoint
𡕈
CJK Unified Ideograph-21548
U+21548
Other letter (Lo)

UTF-8 encoding: F0 A1 95 88 (4 bytes).

Hex color
#021548
RGB(2, 21, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.21.72.

Address
0.2.21.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.21.72

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 136,520 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.