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13288266 = 233534643
BaseRepresentation
bin110010101100…
…001101001010
3221000010002000
4302230031022
511400211031
61152451430
7220643205
oct62541512
927003060
1013288266
117556742
124549b76
1329a34a4
141a9c93c
1512773e6
hexcac34a

13288266 has 32 divisors (see below), whose sum is σ = 30093120. Its totient is φ = 4344912.

The previous prime is 13288259. The next prime is 13288307. The reversal of 13288266 is 66288231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13288266.

It is an unprimeable number.

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, 541 + ... + 5183.

It is an arithmetic number, because the mean of its divisors is an integer number (940410).

Almost surely, 213288266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046560).

13288266 is an abundant number, since it is smaller than the sum of its proper divisors (16804854).

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

13288266 is a wasteful number, since it uses less digits than its factorization.

13288266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4701 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 13288266 is about 3645.3073944456. The cubic root of 13288266 is about 236.8587525609.

The spelling of 13288266 in words is "thirteen million, two hundred eighty-eight thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 4643 9286 13929 27858 41787 83574 125361 246079 250722 492158 738237 1476474 2214711 4429422 6644133 13288266