Search a number
-
+
14892 = 2231773
BaseRepresentation
bin11101000101100
3202102120
43220230
5434032
6152540
761263
oct35054
922376
1014892
1110209
128750
136a17
1455da
15462c
hex3a2c

14892 has 24 divisors (see below), whose sum is σ = 37296. Its totient is φ = 4608.

The previous prime is 14891. The next prime is 14897. The reversal of 14892 is 29841.

14892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14892.

It is not an unprimeable number, because it can be changed into a prime (14891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (1554).

214892 is an apocalyptic number.

14892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648).

14892 is an abundant number, since it is smaller than the sum of its proper divisors (22404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14892 is a wasteful number, since it uses less digits than its factorization.

14892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 14892 is about 122.0327824808. The cubic root of 14892 is about 24.6027890287.

The spelling of 14892 in words is "fourteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 1241 2482 3723 4964 7446 14892