Search a number
-
+
814392 = 233211311
BaseRepresentation
bin11000110110100111000
31112101010200
43012310320
5202030032
625242200
76631215
oct3066470
91471120
10814392
11506957
12333360
132268b7
14172b0c
1511147c
hexc6d38

814392 has 24 divisors (see below), whose sum is σ = 2205840. Its totient is φ = 271440.

The previous prime is 814381. The next prime is 814393. The reversal of 814392 is 293418.

814392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 15.

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 814392.

It is not an unprimeable number, because it can be changed into a prime (814393) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5584 + ... + 5727.

It is an arithmetic number, because the mean of its divisors is an integer number (91910).

2814392 is an apocalyptic number.

It is an amenable number.

814392 is an abundant number, since it is smaller than the sum of its proper divisors (1391448).

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

814392 is a wasteful number, since it uses less digits than its factorization.

814392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323 (or 11316 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 814392 is about 902.4367013813. The cubic root of 814392 is about 93.3851526301.

It can be divided in two parts, 8 and 14392, that added together give a square (14400 = 1202).

The spelling of 814392 in words is "eight hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 11311 22622 33933 45244 67866 90488 101799 135732 203598 271464 407196 814392