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20957393 = 232173229
BaseRepresentation
bin100111111110…
…0100011010001
31110102202010202
41033330203101
520331114033
62025104545
7343064162
oct117744321
943382122
1020957393
1110914666
127028155
13445a132
142ad7769
151c8e8e8
hex13fc8d1

20957393 has 12 divisors (see below), whose sum is σ = 22131060. Its totient is φ = 19843296.

The previous prime is 20957371. The next prime is 20957407. The reversal of 20957393 is 39375902.

It can be written as a sum of positive squares in 2 ways, for example, as 19298449 + 1658944 = 4393^2 + 1288^2 .

It is not a de Polignac number, because 20957393 - 26 = 20957329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20957303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91403 + ... + 91631.

It is an arithmetic number, because the mean of its divisors is an integer number (1844255).

Almost surely, 220957393 is an apocalyptic number.

20957393 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20957393 is a deficient number, since it is larger than the sum of its proper divisors (1173667).

20957393 is a wasteful number, since it uses less digits than its factorization.

20957393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 38.

The square root of 20957393 is about 4577.9245297405. The cubic root of 20957393 is about 275.7057048270.

The spelling of 20957393 in words is "twenty million, nine hundred fifty-seven thousand, three hundred ninety-three".

Divisors: 1 23 173 229 529 3979 5267 39617 91517 121141 911191 20957393