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113,364

113,364 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.).

113,364 (one hundred thirteen thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 47 × 67. Its proper divisors sum to 183,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BAD4.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
216
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
463,311
Recamán's sequence
a(68,103) = 113,364
Square (n²)
12,851,396,496
Cube (n³)
1,456,885,712,372,544
Divisor count
36
σ(n) — sum of divisors
297,024
φ(n) — Euler's totient
36,432
Sum of prime factors
124

Primality

Prime factorization: 2 2 × 3 2 × 47 × 67

Nearest primes: 113,363 (−1) · 113,371 (+7)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 47 · 67 · 94 · 134 · 141 · 188 · 201 · 268 · 282 · 402 · 423 · 564 · 603 · 804 · 846 · 1206 · 1692 · 2412 · 3149 · 6298 · 9447 · 12596 · 18894 · 28341 · 37788 · 56682 (half) · 113364
Aliquot sum (sum of proper divisors): 183,660
Factor pairs (a × b = 113,364)
1 × 113364
2 × 56682
3 × 37788
4 × 28341
6 × 18894
9 × 12596
12 × 9447
18 × 6298
36 × 3149
47 × 2412
67 × 1692
94 × 1206
134 × 846
141 × 804
188 × 603
201 × 564
268 × 423
282 × 402
First multiples
113,364 · 226,728 (double) · 340,092 · 453,456 · 566,820 · 680,184 · 793,548 · 906,912 · 1,020,276 · 1,133,640

Sums & aliquot sequence

As consecutive integers: 37,787 + 37,788 + 37,789 14,167 + 14,168 + … + 14,174 12,592 + 12,593 + … + 12,600 4,712 + 4,713 + … + 4,735
Aliquot sequence: 113,364 183,660 330,756 460,188 733,172 741,868 556,408 495,872 577,228 432,928 434,960 576,508 443,084 332,320 490,208 474,952 415,598 — unresolved within range

Continued fraction of √n

√113,364 = [336; (1, 2, 3, 2, 33, 4, 3, 1, 6, 26, 1, 3, 1, 2, 2, 17, 1, 3, 2, 5, 8, 4, 3, 1, …)]

Representations

In words
one hundred thirteen thousand three hundred sixty-four
Ordinal
113364th
Binary
11011101011010100
Octal
335324
Hexadecimal
0x1BAD4
Base64
AbrU
One's complement
4,294,853,931 (32-bit)
Scientific notation
1.13364 × 10⁵
As a duration
113,364 s = 1 day, 7 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 12202111200
quaternary (4) 123223110
quinary (5) 12111424
senary (6) 2232500
septenary (7) 651336
nonary (9) 182450
undecimal (11) 78199
duodecimal (12) 55730
tridecimal (13) 3c7a4
tetradecimal (14) 2d456
pentadecimal (15) 238c9

As an angle

113,364° = 314 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγτξδʹ
Mayan (base 20)
𝋮·𝋣·𝋨·𝋤
Chinese
一十一萬三千三百六十四
Chinese (financial)
壹拾壹萬參仟參佰陸拾肆
In other modern scripts
Eastern Arabic ١١٣٣٦٤ Devanagari ११३३६४ Bengali ১১৩৩৬৪ Tamil ௧௧௩௩௬௪ Thai ๑๑๓๓๖๔ Tibetan ༡༡༣༣༦༤ Khmer ១១៣៣៦៤ Lao ໑໑໓໓໖໔ Burmese ၁၁၃၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113364, here are decompositions:

  • 5 + 113359 = 113364
  • 7 + 113357 = 113364
  • 23 + 113341 = 113364
  • 37 + 113327 = 113364
  • 131 + 113233 = 113364
  • 137 + 113227 = 113364
  • 151 + 113213 = 113364
  • 191 + 113173 = 113364

Showing the first eight; more decompositions exist.

Hex color
#01BAD4
RGB(1, 186, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.186.212.

Address
0.1.186.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.186.212

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 113,364 and was likely granted around 1871.

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

Related reading

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