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13288995 = 335173569
BaseRepresentation
bin110010101100…
…011000100011
3221000011002000
4302230120203
511400221440
61152455043
7220645266
oct62543043
927004060
1013288995
117557245
12454a483
1329a3915
141a9ccdd
151277730
hexcac623

13288995 has 32 divisors (see below), whose sum is σ = 23803200. Its totient is φ = 7034112.

The previous prime is 13288973. The next prime is 13289039. The reversal of 13288995 is 59988231.

It is a happy number.

It is not a de Polignac number, because 13288995 - 27 = 13288867 is a prime.

It is a super-2 number, since 2×132889952 = 353194776220050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13288995.

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 31 ways as a sum of consecutive naturals, for example, 23071 + ... + 23639.

It is an arithmetic number, because the mean of its divisors is an integer number (743850).

Almost surely, 213288995 is an apocalyptic number.

13288995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13288995 is a deficient number, since it is larger than the sum of its proper divisors (10514205).

13288995 is a wasteful number, since it uses less digits than its factorization.

13288995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 13288995 is about 3645.4073846417. The cubic root of 13288995 is about 236.8630838727.

The spelling of 13288995 in words is "thirteen million, two hundred eighty-eight thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 135 173 519 569 865 1557 1707 2595 2845 4671 5121 7785 8535 15363 23355 25605 76815 98437 295311 492185 885933 1476555 2657799 4429665 13288995