Search a number
-
+
20353047 = 31121319227
BaseRepresentation
bin100110110100…
…1000000010111
31102022001010120
41031221000113
520202244142
62004123023
7334666221
oct115510027
942261116
1020353047
1110541600
126996473
1342a8030
1429bb411
151bc07ec
hex1369017

20353047 has 48 divisors (see below), whose sum is σ = 33962880. Its totient is φ = 10739520.

The previous prime is 20353043. The next prime is 20353049. The reversal of 20353047 is 74035302.

20353047 = 3042 + 3052 + ... + 4462.

It is not a de Polignac number, because 20353047 - 22 = 20353043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20353043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 89548 + ... + 89774.

It is an arithmetic number, because the mean of its divisors is an integer number (707560).

Almost surely, 220353047 is an apocalyptic number.

20353047 is a deficient number, since it is larger than the sum of its proper divisors (13609833).

20353047 is a wasteful number, since it uses less digits than its factorization.

20353047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 20353047 is about 4511.4351375144. The cubic root of 20353047 is about 273.0296496665.

Adding to 20353047 its reverse (74035302), we get a palindrome (94388349).

The spelling of 20353047 in words is "twenty million, three hundred fifty-three thousand, forty-seven".

Divisors: 1 3 11 13 19 33 39 57 121 143 209 227 247 363 429 627 681 741 1573 2299 2497 2717 2951 4313 4719 6897 7491 8151 8853 12939 27467 29887 32461 47443 56069 82401 89661 97383 142329 168207 357071 521873 616759 1071213 1565619 1850277 6784349 20353047