number.wiki
Live analysis

13,040

13,040 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.).
Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
4,031
Recamán's sequence
a(48,195) = 13,040
Square (n²)
170,041,600
Cube (n³)
2,217,342,464,000
Divisor count
20
σ(n) — sum of divisors
30,504
φ(n) — Euler's totient
5,184
Sum of prime factors
176

Primality

Prime factorization: 2 4 × 5 × 163

Nearest primes: 13,037 (−3) · 13,043 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 163 · 326 · 652 · 815 · 1304 · 1630 · 2608 · 3260 · 6520 (half) · 13040
Aliquot sum (sum of proper divisors): 17,464
Factor pairs (a × b = 13,040)
1 × 13040
2 × 6520
4 × 3260
5 × 2608
8 × 1630
10 × 1304
16 × 815
20 × 652
40 × 326
80 × 163
First multiples
13,040 · 26,080 (double) · 39,120 · 52,160 · 65,200 · 78,240 · 91,280 · 104,320 · 117,360 · 130,400

Sums & aliquot sequence

As consecutive integers: 2,606 + 2,607 + 2,608 + 2,609 + 2,610 392 + 393 + … + 423 2 + 3 + … + 161
Aliquot sequence: 13,040 17,464 16,736 16,276 14,496 23,808 41,600 69,070 55,274 30,586 16,538 8,272 9,584 9,016 11,504 10,816 12,425 — unresolved within range

Representations

In words
thirteen thousand forty
Ordinal
13040th
Binary
11001011110000
Octal
31360
Hexadecimal
0x32F0
Base64
MvA=
One's complement
52,495 (16-bit)
In other bases
ternary (3) 122212222
quaternary (4) 3023300
quinary (5) 404130
senary (6) 140212
septenary (7) 53006
nonary (9) 18788
undecimal (11) 9885
duodecimal (12) 7668
tridecimal (13) 5c21
tetradecimal (14) 4a76
pentadecimal (15) 3ce5

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιγμʹ
Mayan (base 20)
𝋡·𝋬·𝋬·𝋠
Chinese
一萬三千零四十
Chinese (financial)
壹萬參仟零肆拾
In other modern scripts
Eastern Arabic ١٣٠٤٠ Devanagari १३०४० Bengali ১৩০৪০ Tamil ௧௩௦௪௦ Thai ๑๓๐๔๐ Tibetan ༡༣༠༤༠ Khmer ១៣០៤០ Lao ໑໓໐໔໐ Burmese ၁၃၀၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,040 = 6
e — Euler's number (e)
Digit 13,040 = 0
φ — Golden ratio (φ)
Digit 13,040 = 9
√2 — Pythagoras's (√2)
Digit 13,040 = 8
ln 2 — Natural log of 2
Digit 13,040 = 8
γ — Euler-Mascheroni (γ)
Digit 13,040 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13040, here are decompositions:

  • 3 + 13037 = 13040
  • 7 + 13033 = 13040
  • 31 + 13009 = 13040
  • 37 + 13003 = 13040
  • 61 + 12979 = 13040
  • 67 + 12973 = 13040
  • 73 + 12967 = 13040
  • 151 + 12889 = 13040

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Katakana Mu
U+32F0
Other symbol (So)

UTF-8 encoding: E3 8B B0 (3 bytes).

Hex color
#0032F0
RGB(0, 50, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.240.

Address
0.0.50.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.240

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

Position in π

The digit sequence 13040 first appears in π at position 19,629 of the decimal expansion (the 19,629ordinal-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.