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13640393 = 1361103167
BaseRepresentation
bin110100000010…
…001011001001
3221200000002202
4310002023021
511442443033
61204205545
7223640624
oct64021311
927600082
1013640393
117777258
1246998b5
132a97850
141b50dbb
1512e68e8
hexd022c9

13640393 has 16 divisors (see below), whose sum is σ = 15165696. Its totient is φ = 12191040.

The previous prime is 13640381. The next prime is 13640401. The reversal of 13640393 is 39304631.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13640393 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (13640593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81596 + ... + 81762.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 213640393 is an apocalyptic number.

13640393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13640393 is a deficient number, since it is larger than the sum of its proper divisors (1525303).

13640393 is a wasteful number, since it uses less digits than its factorization.

13640393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 13640393 is about 3693.2902674986. The cubic root of 13640393 is about 238.9327203350.

The spelling of 13640393 in words is "thirteen million, six hundred forty thousand, three hundred ninety-three".

Divisors: 1 13 61 103 167 793 1339 2171 6283 10187 17201 81679 132431 223613 1049261 13640393