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20,720

20,720 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.).

20,720 (twenty thousand seven hundred twenty) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 37. Its proper divisors sum to 35,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x50F0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
2,702
Recamán's sequence
a(42,399) = 20,720
Square (n²)
429,318,400
Cube (n³)
8,895,477,248,000
Divisor count
40
σ(n) — sum of divisors
56,544
φ(n) — Euler's totient
6,912
Sum of prime factors
57

Primality

Prime factorization: 2 4 × 5 × 7 × 37

Nearest primes: 20,719 (−1) · 20,731 (+11)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 37 · 40 · 56 · 70 · 74 · 80 · 112 · 140 · 148 · 185 · 259 · 280 · 296 · 370 · 518 · 560 · 592 · 740 · 1036 · 1295 · 1480 · 2072 · 2590 · 2960 · 4144 · 5180 · 10360 (half) · 20720
Aliquot sum (sum of proper divisors): 35,824
Factor pairs (a × b = 20,720)
1 × 20720
2 × 10360
4 × 5180
5 × 4144
7 × 2960
8 × 2590
10 × 2072
14 × 1480
16 × 1295
20 × 1036
28 × 740
35 × 592
37 × 560
40 × 518
56 × 370
70 × 296
74 × 280
80 × 259
112 × 185
140 × 148
First multiples
20,720 · 41,440 (double) · 62,160 · 82,880 · 103,600 · 124,320 · 145,040 · 165,760 · 186,480 · 207,200

Sums & aliquot sequence

As consecutive integers: 4,142 + 4,143 + 4,144 + 4,145 + 4,146 2,957 + 2,958 + … + 2,963 632 + 633 + … + 663 575 + 576 + … + 609
Aliquot sequence: 20,720 35,824 33,616 37,808 40,312 35,288 37,072 45,264 79,728 146,448 281,166 281,178 363,942 424,638 526,338 722,961 321,329 — unresolved within range

Continued fraction of √n

√20,720 = [143; (1, 16, 1, 286)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
twenty thousand seven hundred twenty
Ordinal
20720th
Binary
101000011110000
Octal
50360
Hexadecimal
0x50F0
Base64
UPA=
One's complement
44,815 (16-bit)
Scientific notation
2.072 × 10⁴
As a duration
20,720 s = 5 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 1001102102
quaternary (4) 11003300
quinary (5) 1130340
senary (6) 235532
septenary (7) 114260
nonary (9) 31372
undecimal (11) 14627
duodecimal (12) bba8
tridecimal (13) 957b
tetradecimal (14) 77a0
pentadecimal (15) 6215
Palindromic in base 6

As an angle

20,720° = 57 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵κψκʹ
Mayan (base 20)
𝋢·𝋫·𝋰·𝋠
Chinese
二萬零七百二十
Chinese (financial)
貳萬零柒佰貳拾
In other modern scripts
Eastern Arabic ٢٠٧٢٠ Devanagari २०७२० Bengali ২০৭২০ Tamil ௨௦௭௨௦ Thai ๒๐๗๒๐ Tibetan ༢༠༧༢༠ Khmer ២០៧២០ Lao ໒໐໗໒໐ Burmese ၂၀၇၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 20,720 = 7
e — Euler's number (e)
Digit 20,720 = 9
φ — Golden ratio (φ)
Digit 20,720 = 1
√2 — Pythagoras's (√2)
Digit 20,720 = 2
ln 2 — Natural log of 2
Digit 20,720 = 4
γ — Euler-Mascheroni (γ)
Digit 20,720 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20720, here are decompositions:

  • 3 + 20717 = 20720
  • 13 + 20707 = 20720
  • 79 + 20641 = 20720
  • 109 + 20611 = 20720
  • 127 + 20593 = 20720
  • 157 + 20563 = 20720
  • 199 + 20521 = 20720
  • 211 + 20509 = 20720

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-50F0
U+50F0
Other letter (Lo)

UTF-8 encoding: E5 83 B0 (3 bytes).

Hex color
#0050F0
RGB(0, 80, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.80.240.

Address
0.0.80.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.80.240

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

Position in π

The digit sequence 20720 first appears in π at position 44,219 of the decimal expansion (the 44,219ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.