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136,764

136,764 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.).

136,764 (one hundred thirty-six thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 29 × 131. Its proper divisors sum to 223,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2163C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,024
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
467,631
Square (n²)
18,704,391,696
Cube (n³)
2,558,087,425,911,744
Divisor count
36
σ(n) — sum of divisors
360,360
φ(n) — Euler's totient
43,680
Sum of prime factors
170

Primality

Prime factorization: 2 2 × 3 2 × 29 × 131

Nearest primes: 136,753 (−11) · 136,769 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 29 · 36 · 58 · 87 · 116 · 131 · 174 · 261 · 262 · 348 · 393 · 522 · 524 · 786 · 1044 · 1179 · 1572 · 2358 · 3799 · 4716 · 7598 · 11397 · 15196 · 22794 · 34191 · 45588 · 68382 (half) · 136764
Aliquot sum (sum of proper divisors): 223,596
Factor pairs (a × b = 136,764)
1 × 136764
2 × 68382
3 × 45588
4 × 34191
6 × 22794
9 × 15196
12 × 11397
18 × 7598
29 × 4716
36 × 3799
58 × 2358
87 × 1572
116 × 1179
131 × 1044
174 × 786
261 × 524
262 × 522
348 × 393
First multiples
136,764 · 273,528 (double) · 410,292 · 547,056 · 683,820 · 820,584 · 957,348 · 1,094,112 · 1,230,876 · 1,367,640

Sums & aliquot sequence

As consecutive integers: 45,587 + 45,588 + 45,589 17,092 + 17,093 + … + 17,099 15,192 + 15,193 + … + 15,200 5,687 + 5,688 + … + 5,710
Aliquot sequence: 136,764 223,596 341,696 374,584 428,216 374,704 417,656 444,184 452,936 473,704 635,096 850,984 744,626 372,316 372,372 831,852 1,572,004 — unresolved within range

Continued fraction of √n

√136,764 = [369; (1, 4, 2, 3, 1, 1, 1, 8, 2, 29, 8, 1, 7, 6, 1, 1, 1, 13, 1, 1, 2, 1, 9, 1, …)]

Representations

In words
one hundred thirty-six thousand seven hundred sixty-four
Ordinal
136764th
Binary
100001011000111100
Octal
413074
Hexadecimal
0x2163C
Base64
AhY8
One's complement
4,294,830,531 (32-bit)
Scientific notation
1.36764 × 10⁵
As a duration
136,764 s = 1 day, 13 hours, 59 minutes, 24 seconds
In other bases
ternary (3) 20221121100
quaternary (4) 201120330
quinary (5) 13334024
senary (6) 2533100
septenary (7) 1106505
nonary (9) 227540
undecimal (11) 93831
duodecimal (12) 67190
tridecimal (13) 4a334
tetradecimal (14) 37bac
pentadecimal (15) 2a7c9

As an angle

136,764° = 379 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλϛψξδʹ
Mayan (base 20)
𝋱·𝋡·𝋲·𝋤
Chinese
一十三萬六千七百六十四
Chinese (financial)
壹拾參萬陸仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٦٧٦٤ Devanagari १३६७६४ Bengali ১৩৬৭৬৪ Tamil ௧௩௬௭௬௪ Thai ๑๓๖๗๖๔ Tibetan ༡༣༦༧༦༤ Khmer ១៣៦៧៦៤ Lao ໑໓໖໗໖໔ Burmese ၁၃၆၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136764, here are decompositions:

  • 11 + 136753 = 136764
  • 13 + 136751 = 136764
  • 31 + 136733 = 136764
  • 37 + 136727 = 136764
  • 53 + 136711 = 136764
  • 71 + 136693 = 136764
  • 73 + 136691 = 136764
  • 107 + 136657 = 136764

Showing the first eight; more decompositions exist.

Unicode codepoint
𡘼
CJK Unified Ideograph-2163C
U+2163C
Other letter (Lo)

UTF-8 encoding: F0 A1 98 BC (4 bytes).

Hex color
#02163C
RGB(2, 22, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.60.

Address
0.2.22.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.60

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 136,764 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 136764 first appears in π at position 598,788 of the decimal expansion (the 598,788ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.