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541417068 = 223322392
BaseRepresentation
bin100000010001010…
…101111001101100
31101201202211121000
4200101111321230
52102100321233
6125420240300
716262653263
oct4021257154
91351684530
10541417068
11258685725
121313a0090
138822693a
1451c975da
15327e9d13
hex20455e6c

541417068 has 36 divisors (see below), whose sum is σ = 1404301080. Its totient is φ = 180391752.

The previous prime is 541417049. The next prime is 541417069. The reversal of 541417068 is 860714145.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

541417068 is a `hidden beast` number, since 541 + 41 + 70 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (541417069) 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 11 ways as a sum of consecutive naturals, for example, 240693 + ... + 242931.

Almost surely, 2541417068 is an apocalyptic number.

It is an amenable number.

541417068 is an abundant number, since it is smaller than the sum of its proper divisors (862884012).

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

541417068 is an equidigital number, since it uses as much as digits as its factorization.

541417068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 541417068 is about 23268.3705488803. The cubic root of 541417068 is about 815.0369802684.

The spelling of 541417068 in words is "five hundred forty-one million, four hundred seventeen thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2239 4478 6717 8956 13434 20151 26868 40302 60453 80604 120906 241812 5013121 10026242 15039363 20052484 30078726 45118089 60157452 90236178 135354267 180472356 270708534 541417068