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13296288 = 253433221
BaseRepresentation
bin110010101110…
…001010100000
3221000112002010
4302232022200
511400440123
61152552520
7221005455
oct62561240
927015063
1013296288
117561775
124552740
1329a7035
141aa182c
151279993
hexcae2a0

13296288 has 48 divisors (see below), whose sum is σ = 35725536. Its totient is φ = 4327680.

The previous prime is 13296251. The next prime is 13296289. The reversal of 13296288 is 88269231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (13296289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2518 + ... + 5738.

It is an arithmetic number, because the mean of its divisors is an integer number (744282).

Almost surely, 213296288 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 13296288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862768).

13296288 is an abundant number, since it is smaller than the sum of its proper divisors (22429248).

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

13296288 is a wasteful number, since it uses less digits than its factorization.

13296288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3269 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 13296288 is about 3646.4075471620. The cubic root of 13296288 is about 236.9064060994.

The spelling of 13296288 in words is "thirteen million, two hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3221 4128 6442 9663 12884 19326 25768 38652 51536 77304 103072 138503 154608 277006 309216 415509 554012 831018 1108024 1662036 2216048 3324072 4432096 6648144 13296288