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13345937 = 11337271
BaseRepresentation
bin110010111010…
…010010010001
3221010001011222
4302322102101
511404032222
61154014425
7221303303
oct62722221
927101158
1013345937
117596000
124577415
1329c3807
141ab5973
151289542
hexcba491

13345937 has 16 divisors (see below), whose sum is σ = 15131904. Its totient is φ = 11761200.

The previous prime is 13345889. The next prime is 13345987. The reversal of 13345937 is 73954331.

13345937 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13345937 - 26 = 13345873 is a prime.

It is a super-2 number, since 2×133459372 = 356228068815938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13345897 and 13345906.

It is not an unprimeable number, because it can be changed into a prime (13345987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49112 + ... + 49382.

It is an arithmetic number, because the mean of its divisors is an integer number (945744).

Almost surely, 213345937 is an apocalyptic number.

It is an amenable number.

13345937 is a deficient number, since it is larger than the sum of its proper divisors (1785967).

13345937 is an equidigital number, since it uses as much as digits as its factorization.

13345937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its digits is 34020, while the sum is 35.

The square root of 13345937 is about 3653.2091371834. The cubic root of 13345937 is about 237.2009132651.

The spelling of 13345937 in words is "thirteen million, three hundred forty-five thousand, nine hundred thirty-seven".

Divisors: 1 11 37 121 271 407 1331 2981 4477 10027 32791 49247 110297 360701 1213267 13345937