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10164393 = 33537103
BaseRepresentation
bin100110110001…
…100010101001
3201010101221000
4212301202221
510100230033
61001505213
7152252541
oct46614251
921111830
1010164393
115812728
1234a2209
13214b645
1414c8321
15d5ba13
hex9b18a9

10164393 has 16 divisors (see below), whose sum is σ = 15344640. Its totient is φ = 6647472.

The previous prime is 10164389. The next prime is 10164409. The reversal of 10164393 is 39346101.

10164393 is a `hidden beast` number, since 10 + 1 + 643 + 9 + 3 = 666.

It is not a de Polignac number, because 10164393 - 22 = 10164389 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 (10164293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121 + ... + 4982.

It is an arithmetic number, because the mean of its divisors is an integer number (959040).

Almost surely, 210164393 is an apocalyptic number.

It is an amenable number.

10164393 is a deficient number, since it is larger than the sum of its proper divisors (5180247).

10164393 is an equidigital number, since it uses as much as digits as its factorization.

10164393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7165 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10164393 is about 3188.1645189670. The cubic root of 10164393 is about 216.6176380845.

The spelling of 10164393 in words is "ten million, one hundred sixty-four thousand, three hundred ninety-three".

Divisors: 1 3 9 27 53 159 477 1431 7103 21309 63927 191781 376459 1129377 3388131 10164393