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20,072

20,072 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 Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
27,002
Square (n²)
402,885,184
Cube (n³)
8,086,711,413,248
Divisor count
16
σ(n) — sum of divisors
40,740
φ(n) — Euler's totient
9,216
Sum of prime factors
212

Primality

Prime factorization: 2 3 × 13 × 193

Nearest primes: 20,071 (−1) · 20,089 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 193 · 386 · 772 · 1544 · 2509 · 5018 · 10036 (half) · 20072
Aliquot sum (sum of proper divisors): 20,668
Factor pairs (a × b = 20,072)
1 × 20072
2 × 10036
4 × 5018
8 × 2509
13 × 1544
26 × 772
52 × 386
104 × 193
First multiples
20,072 · 40,144 (double) · 60,216 · 80,288 · 100,360 · 120,432 · 140,504 · 160,576 · 180,648 · 200,720

Sums & aliquot sequence

As a sum of two squares: 46² + 134² = 94² + 106²
As consecutive integers: 1,538 + 1,539 + … + 1,550 1,247 + 1,248 + … + 1,262 8 + 9 + … + 200
Aliquot sequence: 20,072 20,668 15,508 11,638 8,270 6,634 3,734 1,870 2,018 1,012 1,004 760 1,040 1,564 1,460 1,648 1,576 — unresolved within range

Representations

In words
twenty thousand seventy-two
Ordinal
20072nd
Binary
100111001101000
Octal
47150
Hexadecimal
0x4E68
Base64
Tmg=
One's complement
45,463 (16-bit)
In other bases
ternary (3) 1000112102
quaternary (4) 10321220
quinary (5) 1120242
senary (6) 232532
septenary (7) 112343
nonary (9) 30472
undecimal (11) 14098
duodecimal (12) b748
tridecimal (13) 91a0
tetradecimal (14) 745a
pentadecimal (15) 5e32

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵κοβʹ
Mayan (base 20)
𝋢·𝋪·𝋣·𝋬
Chinese
二萬零七十二
Chinese (financial)
貳萬零柒拾貳
In other modern scripts
Eastern Arabic ٢٠٠٧٢ Devanagari २००७२ Bengali ২০০৭২ Tamil ௨௦௦௭௨ Thai ๒๐๐๗๒ Tibetan ༢༠༠༧༢ Khmer ២០០៧២ Lao ໒໐໐໗໒ Burmese ၂၀၀၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 20,072 = 7
e — Euler's number (e)
Digit 20,072 = 7
φ — Golden ratio (φ)
Digit 20,072 = 2
√2 — Pythagoras's (√2)
Digit 20,072 = 2
ln 2 — Natural log of 2
Digit 20,072 = 8
γ — Euler-Mascheroni (γ)
Digit 20,072 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20072, here are decompositions:

  • 43 + 20029 = 20072
  • 61 + 20011 = 20072
  • 79 + 19993 = 20072
  • 109 + 19963 = 20072
  • 181 + 19891 = 20072
  • 211 + 19861 = 20072
  • 229 + 19843 = 20072
  • 271 + 19801 = 20072

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4E68
U+4E68
Other letter (Lo)

UTF-8 encoding: E4 B9 A8 (3 bytes).

Hex color
#004E68
RGB(0, 78, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.104.

Address
0.0.78.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.78.104

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

Position in π

The digit sequence 20072 first appears in π at position 9,819 of the decimal expansion (the 9,819ordinal-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.