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13680147 = 31323101151
BaseRepresentation
bin110100001011…
…111000010011
3221202000122010
4310023320103
512000231042
61205114003
7224164545
oct64137023
927660563
1013680147
1177a4108
1246b8903
132aac980
141b61695
15130359c
hexd0be13

13680147 has 32 divisors (see below), whose sum is σ = 20837376. Its totient is φ = 7920000.

The previous prime is 13680113. The next prime is 13680167. The reversal of 13680147 is 74108631.

It is a happy number.

13680147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13680147 - 214 = 13663763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13680167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90522 + ... + 90672.

It is an arithmetic number, because the mean of its divisors is an integer number (651168).

Almost surely, 213680147 is an apocalyptic number.

13680147 is a deficient number, since it is larger than the sum of its proper divisors (7157229).

13680147 is a wasteful number, since it uses less digits than its factorization.

13680147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13680147 is about 3698.6682738521. The cubic root of 13680147 is about 239.1646129368.

Adding to 13680147 its reverse (74108631), we get a palindrome (87788778).

The spelling of 13680147 in words is "thirteen million, six hundred eighty thousand, one hundred forty-seven".

Divisors: 1 3 13 23 39 69 101 151 299 303 453 897 1313 1963 2323 3473 3939 5889 6969 10419 15251 30199 45149 45753 90597 135447 198263 350773 594789 1052319 4560049 13680147