Search a number
-
+
20617983 = 341913397
BaseRepresentation
bin100111010100…
…1101011111111
31102210111120000
41032221223333
520234233413
62013525343
7340151511
oct116515377
942714500
1020617983
1110702661
126aa3853
13436b7b9
142a49bb1
151c24073
hex13a9aff

20617983 has 20 divisors (see below), whose sum is σ = 32423160. Its totient is φ = 13020912.

The previous prime is 20617981. The next prime is 20617999. The reversal of 20617983 is 38971602.

It is not a de Polignac number, because 20617983 - 21 = 20617981 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20617981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5160 + ... + 8237.

It is an arithmetic number, because the mean of its divisors is an integer number (1621158).

Almost surely, 220617983 is an apocalyptic number.

20617983 is a deficient number, since it is larger than the sum of its proper divisors (11805177).

20617983 is a wasteful number, since it uses less digits than its factorization.

20617983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13428 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20617983 is about 4540.7029191525. The cubic root of 20617983 is about 274.2092235788.

The spelling of 20617983 in words is "twenty million, six hundred seventeen thousand, nine hundred eighty-three".

Divisors: 1 3 9 19 27 57 81 171 513 1539 13397 40191 120573 254543 361719 763629 1085157 2290887 6872661 20617983