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4134105 = 335113271
BaseRepresentation
bin1111110001010011011001
321210000221000
433301103121
52024242410
6224335213
750065533
oct17612331
97700830
104134105
112374018
121474509
13b19921
14798853
15569dc0
hex3f14d9

4134105 has 32 divisors (see below), whose sum is σ = 7441920. Its totient is φ = 2177280.

The previous prime is 4134061. The next prime is 4134107. The reversal of 4134105 is 5014314.

It is a happy number.

It is not a de Polignac number, because 4134105 - 29 = 4133593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4134107) 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 31 ways as a sum of consecutive naturals, for example, 15120 + ... + 15390.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 24134105 is an apocalyptic number.

4134105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4134105 is the 1017-th decagonal number.

It is an amenable number.

4134105 is a deficient number, since it is larger than the sum of its proper divisors (3307815).

4134105 is a wasteful number, since it uses less digits than its factorization.

4134105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4134105 is about 2033.2498616747. The cubic root of 4134105 is about 160.4946281720.

Adding to 4134105 its reverse (5014314), we get a palindrome (9148419).

The spelling of 4134105 in words is "four million, one hundred thirty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 113 135 271 339 565 813 1017 1355 1695 2439 3051 4065 5085 7317 12195 15255 30623 36585 91869 153115 275607 459345 826821 1378035 4134105