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102392 = 2312799
BaseRepresentation
bin11000111111111000
312012110022
4120333320
511234032
62110012
7604343
oct307770
9165408
10102392
116aa24
124b308
13377b4
142945a
1520512
hex18ff8

102392 has 8 divisors (see below), whose sum is σ = 192000. Its totient is φ = 51192.

The previous prime is 102367. The next prime is 102397. The reversal of 102392 is 293201.

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102392.

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 102392.

It is not an unprimeable number, because it can be changed into a prime (102397) 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 as a sum of consecutive naturals, namely, 6392 + ... + 6407.

It is an arithmetic number, because the mean of its divisors is an integer number (24000).

102392 is a Friedman number, since it can be written as 320^2-9+1, using all its digits and the basic arithmetic operations.

2102392 is an apocalyptic number.

It is an amenable number.

102392 is a deficient number, since it is larger than the sum of its proper divisors (89608).

102392 is a wasteful number, since it uses less digits than its factorization.

102392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12805 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 102392 is about 319.9874997558. The cubic root of 102392 is about 46.7830654390.

Adding to 102392 its reverse (293201), we get a palindrome (395593).

It can be divided in two parts, 102 and 392, that added together give a palindrome (494).

The spelling of 102392 in words is "one hundred two thousand, three hundred ninety-two".

Divisors: 1 2 4 8 12799 25598 51196 102392