Search a number
-
+
13568214 = 231131699
BaseRepresentation
bin110011110000…
…100011010110
3221112100002110
4303300203112
511433140324
61202451450
7223220322
oct63604326
927470073
1013568214
117728000
124663b86
132a70a3a
141b32982
1512d0329
hexcf08d6

13568214 has 32 divisors (see below), whose sum is σ = 29865600. Its totient is φ = 4109160.

The previous prime is 13568213. The next prime is 13568221. The reversal of 13568214 is 41286531.

13568214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135682142 = 368192862299592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13568213) 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, 7137 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (933300).

Almost surely, 213568214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13568214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932800).

13568214 is an abundant number, since it is smaller than the sum of its proper divisors (16297386).

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

13568214 is a wasteful number, since it uses less digits than its factorization.

13568214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1715 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 13568214 is about 3683.5056671600. The cubic root of 13568214 is about 238.5105322582.

The spelling of 13568214 in words is "thirteen million, five hundred sixty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 1699 2662 3398 3993 5097 7986 10194 18689 37378 56067 112134 205579 411158 616737 1233474 2261369 4522738 6784107 13568214