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20642013 = 337149733
BaseRepresentation
bin100111010111…
…1100011011101
31102211201112000
41032233203131
520241021023
62014232513
7340311540
oct116574335
942751460
1020642013
1110719717
126ab5739
134379712
142a54857
151c2b243
hex13af8dd

20642013 has 32 divisors (see below), whose sum is σ = 35232000. Its totient is φ = 11700288.

The previous prime is 20642009. The next prime is 20642023. The reversal of 20642013 is 31024602.

It is a happy number.

20642013 is a `hidden beast` number, since 20 + 642 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 20642013 - 22 = 20642009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20642023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27795 + ... + 28527.

It is an arithmetic number, because the mean of its divisors is an integer number (1101000).

Almost surely, 220642013 is an apocalyptic number.

It is an amenable number.

20642013 is a deficient number, since it is larger than the sum of its proper divisors (14589987).

20642013 is a wasteful number, since it uses less digits than its factorization.

20642013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20642013 is about 4543.3482146981. The cubic root of 20642013 is about 274.3157113538.

Adding to 20642013 its reverse (31024602), we get a palindrome (51666615).

The spelling of 20642013 in words is "twenty million, six hundred forty-two thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 149 189 447 733 1043 1341 2199 3129 4023 5131 6597 9387 15393 19791 28161 46179 109217 138537 327651 764519 982953 2293557 2948859 6880671 20642013