Search a number
-
+
13681823 = 293741311
BaseRepresentation
bin110100001100…
…010010011111
3221202002221012
4310030102133
512000304243
61205125435
7224202461
oct64142237
927662835
1013681823
1177a53a1
1246b987b
132ab066c
141b62131
151303d18
hexd0c49f

13681823 has 16 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 12499200.

The previous prime is 13681813. The next prime is 13681853. The reversal of 13681823 is 32818631.

It is a happy number.

13681823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13681823 - 24 = 13681807 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13681823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43838 + ... + 44148.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 213681823 is an apocalyptic number.

13681823 is a deficient number, since it is larger than the sum of its proper divisors (1256737).

13681823 is a wasteful number, since it uses less digits than its factorization.

13681823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418.

The product of its digits is 6912, while the sum is 32.

The square root of 13681823 is about 3698.8948349473. The cubic root of 13681823 is about 239.1743794869.

The spelling of 13681823 in words is "thirteen million, six hundred eighty-one thousand, eight hundred twenty-three".

Divisors: 1 29 37 41 311 1073 1189 1517 9019 11507 12751 43993 333703 369779 471787 13681823