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21470820 = 22357267109
BaseRepresentation
bin101000111100…
…1111001100100
31111101211102120
41101321321210
520444031240
62044105540
7350333100
oct121717144
944354376
1021470820
1111135388
1272352b0
1345a9a37
142bcc900
151d41ad0
hex1479e64

21470820 has 144 divisors (see below), whose sum is σ = 71628480. Its totient is φ = 4790016.

The previous prime is 21470809. The next prime is 21470821. The reversal of 21470820 is 2807412.

It is a super-2 number, since 2×214708202 = 921992222944800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21470821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196926 + ... + 197034.

It is an arithmetic number, because the mean of its divisors is an integer number (497420).

Almost surely, 221470820 is an apocalyptic number.

21470820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21470820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35814240).

21470820 is an abundant number, since it is smaller than the sum of its proper divisors (50157660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21470820 is a wasteful number, since it uses less digits than its factorization.

21470820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 21470820 is about 4633.6616190654. The cubic root of 21470820 is about 277.9390339543.

The spelling of 21470820 in words is "twenty-one million, four hundred seventy thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 109 134 140 147 196 201 210 218 245 268 294 327 335 402 420 436 469 490 545 588 654 670 735 763 804 938 980 1005 1090 1308 1340 1407 1470 1526 1635 1876 2010 2180 2289 2345 2814 2940 3052 3270 3283 3815 4020 4578 4690 5341 5628 6540 6566 7035 7303 7630 9156 9380 9849 10682 11445 13132 14070 14606 15260 16023 16415 19698 21364 21909 22890 26705 28140 29212 32046 32830 36515 39396 43818 45780 49245 51121 53410 64092 65660 73030 80115 87636 98490 102242 106820 109545 146060 153363 160230 196980 204484 219090 255605 306726 320460 357847 438180 511210 613452 715694 766815 1022420 1073541 1431388 1533630 1789235 2147082 3067260 3578470 4294164 5367705 7156940 10735410 21470820