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13305015 = 3253761131
BaseRepresentation
bin110010110000…
…010010110111
3221000222001100
4302300102313
511401230030
61153101143
7221043063
oct62602267
927028040
1013305015
117568289
1245577b3
1329aacb9
141aa4aa3
15127c360
hexcb04b7

13305015 has 48 divisors (see below), whose sum is σ = 24257376. Its totient is φ = 6739200.

The previous prime is 13305013. The next prime is 13305041. The reversal of 13305015 is 51050331.

It is a happy number.

13305015 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 13305015 - 21 = 13305013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13305013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101500 + ... + 101630.

It is an arithmetic number, because the mean of its divisors is an integer number (505362).

Almost surely, 213305015 is an apocalyptic number.

13305015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13305015 is a deficient number, since it is larger than the sum of its proper divisors (10952361).

13305015 is a wasteful number, since it uses less digits than its factorization.

13305015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13305015 is about 3647.6040081127. The cubic root of 13305015 is about 236.9582258263.

Adding to 13305015 its reverse (51050331), we get a palindrome (64355346).

The spelling of 13305015 in words is "thirteen million, three hundred five thousand, fifteen".

Divisors: 1 3 5 9 15 37 45 61 111 131 183 185 305 333 393 549 555 655 915 1179 1665 1965 2257 2745 4847 5895 6771 7991 11285 14541 20313 23973 24235 33855 39955 43623 71919 72705 101565 119865 218115 295667 359595 887001 1478335 2661003 4435005 13305015