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13405308 = 2237295503
BaseRepresentation
bin110011001000…
…110001111100
3221020001121220
4303020301330
511412432213
61155153340
7221641350
oct63106174
927201556
1013405308
117626674
1245a5850
132a14847
141acd460
15129be23
hexcc8c7c

13405308 has 48 divisors (see below), whose sum is σ = 36986880. Its totient is φ = 3697344.

The previous prime is 13405307. The next prime is 13405309. The reversal of 13405308 is 80350431.

13405308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13405307) and next prime (13405309).

It is a super-3 number, since 3×134053083 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405307) 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, 316 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (770560).

Almost surely, 213405308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493440).

13405308 is an abundant number, since it is smaller than the sum of its proper divisors (23581572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13405308 is a wasteful number, since it uses less digits than its factorization.

13405308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13405308 is about 3661.3259893104. The cubic root of 13405308 is about 237.5521318617.

Adding to 13405308 its reverse (80350431), we get a palindrome (93755739).

The spelling of 13405308 in words is "thirteen million, four hundred five thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 5503 11006 16509 22012 33018 38521 66036 77042 115563 154084 159587 231126 319174 462252 478761 638348 957522 1117109 1915044 2234218 3351327 4468436 6702654 13405308