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13815117 = 34170557
BaseRepresentation
bin110100101100…
…110101001101
3221222212210000
4310230311031
512014040432
61212034513
7225266211
oct64546515
927885700
1013815117
117886558
124762a39
132b29234
141b98941
15132d57c
hexd2cd4d

13815117 has 10 divisors (see below), whose sum is σ = 20637518. Its totient is φ = 9210024.

The previous prime is 13815079. The next prime is 13815149. The reversal of 13815117 is 71151831.

It can be written as a sum of positive squares in only one way, i.e., 7733961 + 6081156 = 2781^2 + 2466^2 .

It is not a de Polignac number, because 13815117 - 27 = 13814989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 85198 + ... + 85359.

Almost surely, 213815117 is an apocalyptic number.

It is an amenable number.

13815117 is a deficient number, since it is larger than the sum of its proper divisors (6822401).

13815117 is an equidigital number, since it uses as much as digits as its factorization.

13815117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170569 (or 170560 counting only the distinct ones).

The product of its digits is 840, while the sum is 27.

The square root of 13815117 is about 3716.8692470949. The cubic root of 13815117 is about 239.9485827352.

Adding to 13815117 its reverse (71151831), we get a palindrome (84966948).

The spelling of 13815117 in words is "thirteen million, eight hundred fifteen thousand, one hundred seventeen".

Divisors: 1 3 9 27 81 170557 511671 1535013 4605039 13815117