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13,200

13,200 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.).
Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
231
Recamán's sequence
a(47,875) = 13,200
Square (n²)
174,240,000
Cube (n³)
2,299,968,000,000
Divisor count
60
σ(n) — sum of divisors
46,128
φ(n) — Euler's totient
3,200
Sum of prime factors
32

Primality

Prime factorization: 2 4 × 3 × 5 2 × 11

Nearest primes: 13,187 (−13) · 13,217 (+17)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 25 · 30 · 33 · 40 · 44 · 48 · 50 · 55 · 60 · 66 · 75 · 80 · 88 · 100 · 110 · 120 · 132 · 150 · 165 · 176 · 200 · 220 · 240 · 264 · 275 · 300 · 330 · 400 · 440 · 528 · 550 · 600 · 660 · 825 · 880 · 1100 · 1200 · 1320 · 1650 · 2200 · 2640 · 3300 · 4400 · 6600 (half) · 13200
Aliquot sum (sum of proper divisors): 32,928
Factor pairs (a × b = 13,200)
1 × 13200
2 × 6600
3 × 4400
4 × 3300
5 × 2640
6 × 2200
8 × 1650
10 × 1320
11 × 1200
12 × 1100
15 × 880
16 × 825
20 × 660
22 × 600
24 × 550
25 × 528
30 × 440
33 × 400
40 × 330
44 × 300
48 × 275
50 × 264
55 × 240
60 × 220
66 × 200
75 × 176
80 × 165
88 × 150
100 × 132
110 × 120
First multiples
13,200 · 26,400 (double) · 39,600 · 52,800 · 66,000 · 79,200 · 92,400 · 105,600 · 118,800 · 132,000

Sums & aliquot sequence

As consecutive integers: 4,399 + 4,400 + 4,401 2,638 + 2,639 + 2,640 + 2,641 + 2,642 1,195 + 1,196 + … + 1,205 873 + 874 + … + 887
Aliquot sequence: 13,200 32,928 67,872 137,760 370,272 839,328 1,680,672 3,568,992 7,462,560 19,414,752 39,516,960 110,473,440 339,497,760 899,132,640 2,384,205,600 6,485,101,728 13,163,035,872 — keeps growing

Representations

In words
thirteen thousand two hundred
Ordinal
13200th
Binary
11001110010000
Octal
31620
Hexadecimal
0x3390
Base64
M5A=
One's complement
52,335 (16-bit)
In other bases
ternary (3) 200002220
quaternary (4) 3032100
quinary (5) 410300
senary (6) 141040
septenary (7) 53325
nonary (9) 20086
undecimal (11) 9a10
duodecimal (12) 7780
tridecimal (13) 6015
tetradecimal (14) 4b4c
pentadecimal (15) 3da0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ιγσʹ
Mayan (base 20)
𝋡·𝋭·𝋠·𝋠
Chinese
一萬三千二百
Chinese (financial)
壹萬參仟貳佰
In other modern scripts
Eastern Arabic ١٣٢٠٠ Devanagari १३२०० Bengali ১৩২০০ Tamil ௧௩௨௦௦ Thai ๑๓๒๐๐ Tibetan ༡༣༢༠༠ Khmer ១៣២០០ Lao ໑໓໒໐໐ Burmese ၁၃၂၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,200 = 8
e — Euler's number (e)
Digit 13,200 = 0
φ — Golden ratio (φ)
Digit 13,200 = 5
√2 — Pythagoras's (√2)
Digit 13,200 = 8
ln 2 — Natural log of 2
Digit 13,200 = 2
γ — Euler-Mascheroni (γ)
Digit 13,200 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13200, here are decompositions:

  • 13 + 13187 = 13200
  • 17 + 13183 = 13200
  • 23 + 13177 = 13200
  • 29 + 13171 = 13200
  • 37 + 13163 = 13200
  • 41 + 13159 = 13200
  • 53 + 13147 = 13200
  • 73 + 13127 = 13200

Showing the first eight; more decompositions exist.

Unicode codepoint
Square Hz
U+3390
Other symbol (So)

UTF-8 encoding: E3 8E 90 (3 bytes).

Hex color
#003390
RGB(0, 51, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.144.

Address
0.0.51.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.144

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 13200 first appears in π at position 598 of the decimal expansion (the 598ordinal-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.