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21,420

21,420 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
2,412
Recamán's sequence
a(40,999) = 21,420
Square (n²)
458,816,400
Cube (n³)
9,827,847,288,000
Divisor count
72
σ(n) — sum of divisors
78,624
φ(n) — Euler's totient
4,608
Sum of prime factors
39

Primality

Prime factorization: 2 2 × 3 2 × 5 × 7 × 17

Nearest primes: 21,419 (−1) · 21,433 (+13)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 9 · 10 · 12 · 14 · 15 · 17 · 18 · 20 · 21 · 28 · 30 · 34 · 35 · 36 · 42 · 45 · 51 · 60 · 63 · 68 · 70 · 84 · 85 · 90 · 102 · 105 · 119 · 126 · 140 · 153 · 170 · 180 · 204 · 210 · 238 · 252 · 255 · 306 · 315 · 340 · 357 · 420 · 476 · 510 · 595 · 612 · 630 · 714 · 765 · 1020 · 1071 · 1190 · 1260 · 1428 · 1530 · 1785 · 2142 · 2380 · 3060 · 3570 · 4284 · 5355 · 7140 · 10710 (half) · 21420
Aliquot sum (sum of proper divisors): 57,204
Factor pairs (a × b = 21,420)
1 × 21420
2 × 10710
3 × 7140
4 × 5355
5 × 4284
6 × 3570
7 × 3060
9 × 2380
10 × 2142
12 × 1785
14 × 1530
15 × 1428
17 × 1260
18 × 1190
20 × 1071
21 × 1020
28 × 765
30 × 714
34 × 630
35 × 612
36 × 595
42 × 510
45 × 476
51 × 420
60 × 357
63 × 340
68 × 315
70 × 306
84 × 255
85 × 252
90 × 238
102 × 210
105 × 204
119 × 180
126 × 170
140 × 153
First multiples
21,420 · 42,840 (double) · 64,260 · 85,680 · 107,100 · 128,520 · 149,940 · 171,360 · 192,780 · 214,200

Sums & aliquot sequence

As consecutive integers: 7,139 + 7,140 + 7,141 4,282 + 4,283 + 4,284 + 4,285 + 4,286 3,057 + 3,058 + … + 3,063 2,674 + 2,675 + … + 2,681
Aliquot sequence: 21,420 57,204 108,780 255,108 425,404 425,460 937,356 1,562,484 3,275,916 5,621,364 10,618,860 23,798,292 40,549,740 104,215,188 198,958,956 392,454,804 709,177,196 — unresolved within range

Representations

In words
twenty-one thousand four hundred twenty
Ordinal
21420th
Binary
101001110101100
Octal
51654
Hexadecimal
0x53AC
Base64
U6w=
One's complement
44,115 (16-bit)
In other bases
ternary (3) 1002101100
quaternary (4) 11032230
quinary (5) 1141140
senary (6) 243100
septenary (7) 116310
nonary (9) 32340
undecimal (11) 15103
duodecimal (12) 10490
tridecimal (13) 9999
tetradecimal (14) 7b40
pentadecimal (15) 6530

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵καυκʹ
Mayan (base 20)
𝋢·𝋭·𝋫·𝋠
Chinese
二萬一千四百二十
Chinese (financial)
貳萬壹仟肆佰貳拾
In other modern scripts
Eastern Arabic ٢١٤٢٠ Devanagari २१४२० Bengali ২১৪২০ Tamil ௨௧௪௨௦ Thai ๒๑๔๒๐ Tibetan ༢༡༤༢༠ Khmer ២១៤២០ Lao ໒໑໔໒໐ Burmese ၂၁၄၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,420 = 9
e — Euler's number (e)
Digit 21,420 = 8
φ — Golden ratio (φ)
Digit 21,420 = 8
√2 — Pythagoras's (√2)
Digit 21,420 = 9
ln 2 — Natural log of 2
Digit 21,420 = 7
γ — Euler-Mascheroni (γ)
Digit 21,420 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21420, here are decompositions:

  • 13 + 21407 = 21420
  • 19 + 21401 = 21420
  • 23 + 21397 = 21420
  • 29 + 21391 = 21420
  • 37 + 21383 = 21420
  • 41 + 21379 = 21420
  • 43 + 21377 = 21420
  • 73 + 21347 = 21420

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-53Ac
U+53AC
Other letter (Lo)

UTF-8 encoding: E5 8E AC (3 bytes).

Hex color
#0053AC
RGB(0, 83, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.172.

Address
0.0.83.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.172

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

Position in π

The digit sequence 21420 first appears in π at position 89,007 of the decimal expansion (the 89,007ordinal-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.