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4135005 = 325713127
BaseRepresentation
bin1111110001100001011101
321210002011100
433301201131
52024310010
6224343313
750101260
oct17614135
97702140
104135005
112374766
121474b39
13b1a164
14798cd7
1556a2c0
hex3f185d

4135005 has 24 divisors (see below), whose sum is σ = 8191872. Its totient is φ = 1890144.

The previous prime is 4135003. The next prime is 4135037. The reversal of 4135005 is 5005314.

It is not a de Polignac number, because 4135005 - 21 = 4135003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4135003) 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 23 ways as a sum of consecutive naturals, for example, 6249 + ... + 6878.

It is an arithmetic number, because the mean of its divisors is an integer number (341328).

Almost surely, 24135005 is an apocalyptic number.

4135005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4135005 is a deficient number, since it is larger than the sum of its proper divisors (4056867).

4135005 is a wasteful number, since it uses less digits than its factorization.

4135005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 4135005 is about 2033.4711701915. The cubic root of 4135005 is about 160.5062739563.

The spelling of 4135005 in words is "four million, one hundred thirty-five thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 13127 39381 65635 91889 118143 196905 275667 459445 590715 827001 1378335 4135005