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93119 = 1321929
BaseRepresentation
bin10110101110111111
311201201212
4112232333
510434434
61555035
7535325
oct265677
9151655
1093119
1163a64
1245a7b
1333500
1425d15
151c8ce
hex16bbf

93119 has 12 divisors (see below), whose sum is σ = 109800. Its totient is φ = 78624.

The previous prime is 93113. The next prime is 93131. The reversal of 93119 is 91139.

It is not a de Polignac number, because 93119 - 24 = 93103 is a prime.

It is a super-2 number, since 2×931192 = 17342296322, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 93094 and 93103.

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 93119.

It is not an unprimeable number, because it can be changed into a prime (93113) 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 11 ways as a sum of consecutive naturals, for example, 3197 + ... + 3225.

It is an arithmetic number, because the mean of its divisors is an integer number (9150).

293119 is an apocalyptic number.

93119 is a deficient number, since it is larger than the sum of its proper divisors (16681).

93119 is a wasteful number, since it uses less digits than its factorization.

93119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 61 counting only the distinct ones).

The product of its digits is 243, while the sum is 23.

The square root of 93119 is about 305.1540594519. The cubic root of 93119 is about 45.3258650231.

Subtracting from 93119 its sum of digits (23), we obtain a triangular number (93096 = T431).

It can be divided in two parts, 931 and 19, that multiplied together give a square (17689 = 1332).

The spelling of 93119 in words is "ninety-three thousand, one hundred nineteen".

Divisors: 1 13 19 29 169 247 377 551 3211 4901 7163 93119