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390093 = 31111821
BaseRepresentation
bin1011111001111001101
3201211002220
41133033031
544440333
612205553
73213204
oct1371715
9654086
10390093
112470a0
121698b9
13108732
14a223b
157a8b3
hex5f3cd

390093 has 8 divisors (see below), whose sum is σ = 567456. Its totient is φ = 236400.

The previous prime is 390083. The next prime is 390097.

390093 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 390093 - 24 = 390077 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 390093.

It is not an unprimeable number, because it can be changed into a prime (390097) 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 7 ways as a sum of consecutive naturals, for example, 5878 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (70932).

2390093 is an apocalyptic number.

390093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

390093 is a deficient number, since it is larger than the sum of its proper divisors (177363).

390093 is a wasteful number, since it uses less digits than its factorization.

390093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 390093 is about 624.5742549930. The cubic root of 390093 is about 73.0672427265.

It can be divided in two parts, 3900 and 93, that added together give a palindrome (3993).

The spelling of 390093 in words is "three hundred ninety thousand, ninety-three".

Divisors: 1 3 11 33 11821 35463 130031 390093