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13,420

13,420 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 Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
2,431
Recamán's sequence
a(47,435) = 13,420
Square (n²)
180,096,400
Cube (n³)
2,416,893,688,000
Divisor count
24
σ(n) — sum of divisors
31,248
φ(n) — Euler's totient
4,800
Sum of prime factors
81

Primality

Prime factorization: 2 2 × 5 × 11 × 61

Nearest primes: 13,417 (−3) · 13,421 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 61 · 110 · 122 · 220 · 244 · 305 · 610 · 671 · 1220 · 1342 · 2684 · 3355 · 6710 (half) · 13420
Aliquot sum (sum of proper divisors): 17,828
Factor pairs (a × b = 13,420)
1 × 13420
2 × 6710
4 × 3355
5 × 2684
10 × 1342
11 × 1220
20 × 671
22 × 610
44 × 305
55 × 244
61 × 220
110 × 122
First multiples
13,420 · 26,840 (double) · 40,260 · 53,680 · 67,100 · 80,520 · 93,940 · 107,360 · 120,780 · 134,200

Sums & aliquot sequence

As consecutive integers: 2,682 + 2,683 + 2,684 + 2,685 + 2,686 1,674 + 1,675 + … + 1,681 1,215 + 1,216 + … + 1,225 316 + 317 + … + 355
Aliquot sequence: 13,420 17,828 13,378 6,692 6,748 6,804 13,580 19,348 19,404 42,840 125,640 283,860 633,420 1,562,004 2,535,180 5,206,260 9,371,436 — unresolved within range

Representations

In words
thirteen thousand four hundred twenty
Ordinal
13420th
Binary
11010001101100
Octal
32154
Hexadecimal
0x346C
Base64
NGw=
One's complement
52,115 (16-bit)
In other bases
ternary (3) 200102001
quaternary (4) 3101230
quinary (5) 412140
senary (6) 142044
septenary (7) 54061
nonary (9) 20361
undecimal (11) a0a0
duodecimal (12) 7924
tridecimal (13) 6154
tetradecimal (14) 4c68
pentadecimal (15) 3e9a

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιγυκʹ
Mayan (base 20)
𝋡·𝋭·𝋫·𝋠
Chinese
一萬三千四百二十
Chinese (financial)
壹萬參仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٣٤٢٠ Devanagari १३४२० Bengali ১৩৪২০ Tamil ௧௩௪௨௦ Thai ๑๓๔๒๐ Tibetan ༡༣༤༢༠ Khmer ១៣៤២០ Lao ໑໓໔໒໐ Burmese ၁၃၄၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 13,420 = 8
e — Euler's number (e)
Digit 13,420 = 1
φ — Golden ratio (φ)
Digit 13,420 = 1
√2 — Pythagoras's (√2)
Digit 13,420 = 6
ln 2 — Natural log of 2
Digit 13,420 = 8
γ — Euler-Mascheroni (γ)
Digit 13,420 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13420, here are decompositions:

  • 3 + 13417 = 13420
  • 23 + 13397 = 13420
  • 53 + 13367 = 13420
  • 83 + 13337 = 13420
  • 89 + 13331 = 13420
  • 107 + 13313 = 13420
  • 179 + 13241 = 13420
  • 191 + 13229 = 13420

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-346C
U+346C
Other letter (Lo)

UTF-8 encoding: E3 91 AC (3 bytes).

Hex color
#00346C
RGB(0, 52, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.108.

Address
0.0.52.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.108

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

Position in π

The digit sequence 13420 first appears in π at position 214,310 of the decimal expansion (the 214,310ordinal-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.