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20648313 = 327487673
BaseRepresentation
bin100111011000…
…1000101111001
31102212001011100
41032301011321
520241221223
62014322013
7340336110
oct116610571
942761140
1020648313
1110723424
126ab9309
13437c54a
142a56c77
151c2d043
hex13b1179

20648313 has 24 divisors (see below), whose sum is σ = 34206848. Its totient is φ = 11757312.

The previous prime is 20648279. The next prime is 20648321. The reversal of 20648313 is 31384602.

It is a happy number.

20648313 is a `hidden beast` number, since 2 + 0 + 648 + 3 + 13 = 666.

It is not a de Polignac number, because 20648313 - 28 = 20648057 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20648333) 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 23 ways as a sum of consecutive naturals, for example, 30345 + ... + 31017.

Almost surely, 220648313 is an apocalyptic number.

It is an amenable number.

20648313 is a deficient number, since it is larger than the sum of its proper divisors (13558535).

20648313 is a wasteful number, since it uses less digits than its factorization.

20648313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20648313 is about 4544.0414830853. The cubic root of 20648313 is about 274.3436158221.

The spelling of 20648313 in words is "twenty million, six hundred forty-eight thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 487 673 1461 2019 3409 4383 4711 6057 10227 14133 30681 42399 327751 983253 2294257 2949759 6882771 20648313