Search a number
-
+
13678965 = 3251717881
BaseRepresentation
bin110100001011…
…100101110101
3221201222000100
4310023211311
512000211330
61205104313
7224161236
oct64134565
927658010
1013678965
1177a3233
1246b8099
132aac281
141b6108d
151303060
hexd0b975

13678965 has 24 divisors (see below), whose sum is σ = 25106328. Its totient is φ = 6865920.

The previous prime is 13678963. The next prime is 13678969. The reversal of 13678965 is 56987631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 11553201 = 1458^2 + 3399^2 .

It is not a de Polignac number, because 13678965 - 21 = 13678963 is a prime.

It is a super-2 number, since 2×136789652 = 374228166942450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13678965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678961) 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 23 ways as a sum of consecutive naturals, for example, 8176 + ... + 9705.

It is an arithmetic number, because the mean of its divisors is an integer number (1046097).

Almost surely, 213678965 is an apocalyptic number.

13678965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13678965 is a deficient number, since it is larger than the sum of its proper divisors (11427363).

13678965 is a wasteful number, since it uses less digits than its factorization.

13678965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17909 (or 17906 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 13678965 is about 3698.5084831591. The cubic root of 13678965 is about 239.1577245919.

The spelling of 13678965 in words is "thirteen million, six hundred seventy-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 17881 53643 89405 160929 268215 303977 804645 911931 1519885 2735793 4559655 13678965