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13288319 = 112353991
BaseRepresentation
bin110010101100…
…001101111111
3221000010010222
4302230031333
511400211234
61152451555
7220643312
oct62541577
927003128
1013288319
117556790
124549bbb
1329a3515
141a9c979
15127742e
hexcac37f

13288319 has 16 divisors (see below), whose sum is σ = 15427584. Its totient is φ = 11325600.

The previous prime is 13288313. The next prime is 13288343. The reversal of 13288319 is 91388231.

It is not a de Polignac number, because 13288319 - 28 = 13288063 is a prime.

It is a super-2 number, since 2×132883192 = 353158843691522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13288313) 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, 12914 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 213288319 is an apocalyptic number.

13288319 is a deficient number, since it is larger than the sum of its proper divisors (2139265).

13288319 is a wasteful number, since it uses less digits than its factorization.

13288319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078.

The product of its digits is 10368, while the sum is 35.

The square root of 13288319 is about 3645.3146640585. The cubic root of 13288319 is about 236.8590674627.

The spelling of 13288319 in words is "thirteen million, two hundred eighty-eight thousand, three hundred nineteen".

Divisors: 1 11 23 53 253 583 991 1219 10901 13409 22793 52523 250723 577753 1208029 13288319