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13680645 = 351182913
BaseRepresentation
bin110100001100…
…000000000101
3221202001022120
4310030000011
512000240040
61205120153
7224166156
oct64140005
927661276
1013680645
1177a4520
1246b9059
132aacc74
141b6192d
1513037d0
hexd0c005

13680645 has 16 divisors (see below), whose sum is σ = 23879232. Its totient is φ = 6632960.

The previous prime is 13680643. The next prime is 13680647. The reversal of 13680645 is 54608631.

It is an interprime number because it is at equal distance from previous prime (13680643) and next prime (13680647).

It is not a de Polignac number, because 13680645 - 21 = 13680643 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41292 + ... + 41621.

It is an arithmetic number, because the mean of its divisors is an integer number (1492452).

Almost surely, 213680645 is an apocalyptic number.

13680645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13680645 is a deficient number, since it is larger than the sum of its proper divisors (10198587).

13680645 is a wasteful number, since it uses less digits than its factorization.

13680645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82932.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 13680645 is about 3698.7355947675. The cubic root of 13680645 is about 239.1675150141.

The spelling of 13680645 in words is "thirteen million, six hundred eighty thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 82913 248739 414565 912043 1243695 2736129 4560215 13680645