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210120393 = 3783120551
BaseRepresentation
bin11001000011000…
…10111011001001
3112122101012222210
430201202323021
5412242323033
632503335333
75130664620
oct1441427311
9478335883
10210120393
11a867561a
125a451549
13346bb8c2
141dc986b7
15136a7d63
hexc862ec9

210120393 has 16 divisors (see below), whose sum is σ = 324043776. Its totient is φ = 118621200.

The previous prime is 210120389. The next prime is 210120413. The reversal of 210120393 is 393021012.

It is a happy number.

It is not a de Polignac number, because 210120393 - 22 = 210120389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (210120193) 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, 58533 + ... + 62018.

It is an arithmetic number, because the mean of its divisors is an integer number (20252736).

Almost surely, 2210120393 is an apocalyptic number.

It is an amenable number.

210120393 is a deficient number, since it is larger than the sum of its proper divisors (113923383).

210120393 is a wasteful number, since it uses less digits than its factorization.

210120393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120644.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 210120393 is about 14495.5301041390. The cubic root of 210120393 is about 594.5057619250.

The spelling of 210120393 in words is "two hundred ten million, one hundred twenty thousand, three hundred ninety-three".

Divisors: 1 3 7 21 83 249 581 1743 120551 361653 843857 2531571 10005733 30017199 70040131 210120393