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13328145 = 34532909
BaseRepresentation
bin110010110101…
…111100010001
3221002010210000
4302311330101
511403000040
61153400213
7221200365
oct62657421
927063700
1013328145
1175836a6
124569069
1329b869c
141aad2a5
151284130
hexcb5f11

13328145 has 20 divisors (see below), whose sum is σ = 23892660. Its totient is φ = 7108128.

The previous prime is 13328141. The next prime is 13328149. The reversal of 13328145 is 54182331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13328141) and next prime (13328149).

It can be written as a sum of positive squares in 2 ways, for example, as 8346321 + 4981824 = 2889^2 + 2232^2 .

It is not a de Polignac number, because 13328145 - 22 = 13328141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13328141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16050 + ... + 16859.

It is an arithmetic number, because the mean of its divisors is an integer number (1194633).

Almost surely, 213328145 is an apocalyptic number.

13328145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13328145 is a deficient number, since it is larger than the sum of its proper divisors (10564515).

13328145 is an equidigital number, since it uses as much as digits as its factorization.

13328145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32926 (or 32917 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13328145 is about 3650.7732057744. The cubic root of 13328145 is about 237.0954590622.

The spelling of 13328145 in words is "thirteen million, three hundred twenty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 32909 98727 164545 296181 493635 888543 1480905 2665629 4442715 13328145