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93144105 = 32517313389
BaseRepresentation
bin1011000110101…
…00010000101001
320111021012200200
411203110100221
5142321102410
613124222413
72210466105
oct543242051
9214235620
1093144105
11486395aa
122723aa09
13163b3072
14c528905
15829d3c0
hex58d4429

93144105 has 48 divisors (see below), whose sum is σ = 171933840. Its totient is φ = 46485504.

The previous prime is 93144091. The next prime is 93144109. The reversal of 93144105 is 50144139.

It can be written as a sum of positive squares in 8 ways, for example, as 15139881 + 78004224 = 3891^2 + 8832^2 .

It is not a de Polignac number, because 93144105 - 26 = 93144041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93144109) 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 47 ways as a sum of consecutive naturals, for example, 239251 + ... + 239639.

It is an arithmetic number, because the mean of its divisors is an integer number (3581955).

Almost surely, 293144105 is an apocalyptic number.

It is an amenable number.

93144105 is a deficient number, since it is larger than the sum of its proper divisors (78789735).

93144105 is a wasteful number, since it uses less digits than its factorization.

93144105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 93144105 is about 9651.1193651307. The cubic root of 93144105 is about 453.2993796057.

The spelling of 93144105 in words is "ninety-three million, one hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 313 389 765 939 1167 1565 1945 2817 3501 4695 5321 5835 6613 14085 15963 17505 19839 26605 33065 47889 59517 79815 99195 121757 239445 297585 365271 608785 1095813 1826355 2069869 5479065 6209607 10349345 18628821 31048035 93144105