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13955085 = 34534457
BaseRepresentation
bin110101001111…
…000000001101
3222020222210000
4311033000031
512033030320
61215034513
7226421244
oct65170015
928228700
1013955085
117971731
12480ba39
132b77b61
141bd395b
151359c90
hexd4f00d

13955085 has 20 divisors (see below), whose sum is σ = 25016508. Its totient is φ = 7442496.

The previous prime is 13955083. The next prime is 13955107. The reversal of 13955085 is 58055931.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6953769 + 7001316 = 2637^2 + 2646^2 .

It is not a de Polignac number, because 13955085 - 21 = 13955083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13955083) 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 19 ways as a sum of consecutive naturals, for example, 16824 + ... + 17633.

Almost surely, 213955085 is an apocalyptic number.

13955085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13955085 is a deficient number, since it is larger than the sum of its proper divisors (11061423).

13955085 is an equidigital number, since it uses as much as digits as its factorization.

13955085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34474 (or 34465 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 13955085 is about 3735.6505457550. The cubic root of 13955085 is about 240.7562085335.

The spelling of 13955085 in words is "thirteen million, nine hundred fifty-five thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 34457 103371 172285 310113 516855 930339 1550565 2791017 4651695 13955085