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13540095 = 335100297
BaseRepresentation
bin110011101001…
…101011111111
3221110220112000
4303221223333
511431240340
61202113343
7223042332
oct63515377
927426460
1013540095
117708968
12464b853
132a60cba
141b26619
1512c6d30
hexce9aff

13540095 has 16 divisors (see below), whose sum is σ = 24071520. Its totient is φ = 7221312.

The previous prime is 13540091. The next prime is 13540117. The reversal of 13540095 is 59004531.

13540095 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13540095 - 22 = 13540091 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50014 + ... + 50283.

It is an arithmetic number, because the mean of its divisors is an integer number (1504470).

Almost surely, 213540095 is an apocalyptic number.

13540095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13540095 is a deficient number, since it is larger than the sum of its proper divisors (10531425).

13540095 is a wasteful number, since it uses less digits than its factorization.

13540095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100311 (or 100305 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13540095 is about 3679.6868073248. The cubic root of 13540095 is about 238.3456538640.

The spelling of 13540095 in words is "thirteen million, five hundred forty thousand, ninety-five".

Divisors: 1 3 5 9 15 27 45 135 100297 300891 501485 902673 1504455 2708019 4513365 13540095