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213420393 = 3367117977
BaseRepresentation
bin11001011100010…
…00100101101001
3112212120212202000
430232020211221
5414113423033
633102201213
75201020614
oct1456104551
9485525660
10213420393
11aa51999a
125b583209
13352a5974
14204b717b
1513b0aa13
hexcb88969

213420393 has 16 divisors (see below), whose sum is σ = 320900160. Its totient is φ = 140155488.

The previous prime is 213420341. The next prime is 213420413. The reversal of 213420393 is 393024312.

It is a happy number.

It is not a de Polignac number, because 213420393 - 224 = 196643177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213420323) 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 15 ways as a sum of consecutive naturals, for example, 57180 + ... + 60797.

It is an arithmetic number, because the mean of its divisors is an integer number (20056260).

Almost surely, 2213420393 is an apocalyptic number.

It is an amenable number.

213420393 is a deficient number, since it is larger than the sum of its proper divisors (107479767).

213420393 is a wasteful number, since it uses less digits than its factorization.

213420393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118053 (or 118047 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 213420393 is about 14608.9148467639. The cubic root of 213420393 is about 597.6019029874.

The spelling of 213420393 in words is "two hundred thirteen million, four hundred twenty thousand, three hundred ninety-three".

Divisors: 1 3 9 27 67 201 603 1809 117977 353931 1061793 3185379 7904459 23713377 71140131 213420393