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13288119 = 3132931379
BaseRepresentation
bin110010101100…
…001010110111
3221000002212120
4302230022313
511400204434
61152451023
7220642605
oct62541267
927002776
1013288119
117556619
124549a73
1329a33c0
141a9c875
151277349
hexcac2b7

13288119 has 32 divisors (see below), whose sum is σ = 20428800. Its totient is φ = 7620480.

The previous prime is 13288109. The next prime is 13288139. The reversal of 13288119 is 91188231.

It is not a de Polignac number, because 13288119 - 24 = 13288103 is a prime.

It is a super-2 number, since 2×132881192 = 353148213116322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13288119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13288109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34872 + ... + 35250.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 213288119 is an apocalyptic number.

13288119 is a deficient number, since it is larger than the sum of its proper divisors (7140681).

13288119 is a wasteful number, since it uses less digits than its factorization.

13288119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its digits is 3456, while the sum is 33.

The square root of 13288119 is about 3645.2872314812. The cubic root of 13288119 is about 236.8578791496.

The spelling of 13288119 in words is "thirteen million, two hundred eighty-eight thousand, one hundred nineteen".

Divisors: 1 3 13 29 31 39 87 93 377 379 403 899 1131 1137 1209 2697 4927 10991 11687 11749 14781 32973 35061 35247 142883 152737 340721 428649 458211 1022163 4429373 13288119