Search a number
-
+
20211345 = 32571119307
BaseRepresentation
bin100110100011…
…0011010010001
31102000211202100
41031012122101
520133230340
62001111013
7333536130
oct115063221
942024670
1020211345
11104550a0
126928469
13425869b
142981917
151b93830
hex1346691

20211345 has 96 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 7931520.

The previous prime is 20211263. The next prime is 20211377. The reversal of 20211345 is 54311202.

It is not a de Polignac number, because 20211345 - 211 = 20209297 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65682 + ... + 65988.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 220211345 is an apocalyptic number.

It is an amenable number.

20211345 is an abundant number, since it is smaller than the sum of its proper divisors (25914735).

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

20211345 is a wasteful number, since it uses less digits than its factorization.

20211345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20211345 is about 4495.7029483719. The cubic root of 20211345 is about 272.3945443867.

Adding to 20211345 its reverse (54311202), we get a palindrome (74522547).

The spelling of 20211345 in words is "twenty million, two hundred eleven thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 19 21 33 35 45 55 57 63 77 95 99 105 133 165 171 209 231 285 307 315 385 399 495 627 665 693 855 921 1045 1155 1197 1463 1535 1881 1995 2149 2763 3135 3377 3465 4389 4605 5833 5985 6447 7315 9405 10131 10745 13167 13815 16885 17499 19341 21945 23639 29165 30393 32235 40831 50655 52497 64163 65835 70917 87495 96705 118195 122493 151965 192489 204155 212751 262485 320815 354585 367479 449141 577467 612465 962445 1063755 1347423 1837395 2245705 2887335 4042269 6737115 20211345