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13276288 = 271953103
BaseRepresentation
bin110010101001…
…010010000000
3220222111122101
4302221102000
511344320123
61152320144
7220563244
oct62512200
926874571
1013276288
117548743
124543054
13299abbc
141a98424
151273aad
hexca9480

13276288 has 64 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 6110208.

The previous prime is 13276283. The next prime is 13276297. The reversal of 13276288 is 88267231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (13276283) 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, 128845 + ... + 128947.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 213276288 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 13276288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

13276288 is an abundant number, since it is smaller than the sum of its proper divisors (15365312).

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

13276288 is a wasteful number, since it uses less digits than its factorization.

13276288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 13276288 is about 3643.6640898963. The cubic root of 13276288 is about 236.7875632621.

The spelling of 13276288 in words is "thirteen million, two hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 103 106 128 152 206 212 304 412 424 608 824 848 1007 1216 1648 1696 1957 2014 2432 3296 3392 3914 4028 5459 6592 6784 7828 8056 10918 13184 15656 16112 21836 31312 32224 43672 62624 64448 87344 103721 125248 128896 174688 207442 250496 349376 414884 698752 829768 1659536 3319072 6638144 13276288