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13295120 = 245166189
BaseRepresentation
bin110010101101…
…111000010000
3221000110110212
4302231320100
511400420440
61152543252
7221002166
oct62557020
927013425
1013295120
117560903
124551b28
1329a6647
141aa1236
151279465
hexcade10

13295120 has 20 divisors (see below), whose sum is σ = 30911340. Its totient is φ = 5318016.

The previous prime is 13295101. The next prime is 13295123. The reversal of 13295120 is 2159231.

It can be written as a sum of positive squares in 2 ways, for example, as 4343056 + 8952064 = 2084^2 + 2992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13295123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 83015 + ... + 83174.

It is an arithmetic number, because the mean of its divisors is an integer number (1545567).

Almost surely, 213295120 is an apocalyptic number.

13295120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13295120 is an abundant number, since it is smaller than the sum of its proper divisors (17616220).

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

13295120 is a wasteful number, since it uses less digits than its factorization.

13295120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166202 (or 166196 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 13295120 is about 3646.2473860121. The cubic root of 13295120 is about 236.8994689556.

The spelling of 13295120 in words is "thirteen million, two hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 166189 332378 664756 830945 1329512 1661890 2659024 3323780 6647560 13295120