Search a number
-
+
13642213 = 131278263
BaseRepresentation
bin110100000010…
…100111100101
3221200002121011
4310002213211
511443022323
61204222221
7223646134
oct64024745
927602534
1013642213
117778662
12469a971
132a98620
141b5191b
1512e720d
hexd029e5

13642213 has 8 divisors (see below), whose sum is σ = 14809088. Its totient is φ = 12492144.

The previous prime is 13642207. The next prime is 13642219. The reversal of 13642213 is 31224631.

13642213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13642207) and next prime (13642219).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13642213 is a prime.

It is a super-2 number, since 2×136422132 = 372219951074738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642219) 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 in 7 ways as a sum of consecutive naturals, for example, 2481 + ... + 5782.

It is an arithmetic number, because the mean of its divisors is an integer number (1851136).

Almost surely, 213642213 is an apocalyptic number.

13642213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13642213 is a deficient number, since it is larger than the sum of its proper divisors (1166875).

13642213 is a wasteful number, since it uses less digits than its factorization.

13642213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8403.

The product of its digits is 864, while the sum is 22.

The square root of 13642213 is about 3693.5366520450. The cubic root of 13642213 is about 238.9433465736.

Adding to 13642213 its reverse (31224631), we get a palindrome (44866844).

It can be divided in two parts, 1364221 and 3, that added together give a square (1364224 = 11682).

The spelling of 13642213 in words is "thirteen million, six hundred forty-two thousand, two hundred thirteen".

Divisors: 1 13 127 1651 8263 107419 1049401 13642213