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3905064 = 2333101179
BaseRepresentation
bin1110111001011000101000
321100101202000
432321120220
51444430224
6215411000
745123012
oct16713050
97311660
103905064
112227a29
121383a60
13a695b7
147391b2
155220c9
hex3b9628

3905064 has 64 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1281600.

The previous prime is 3905059. The next prime is 3905107. The reversal of 3905064 is 4605093.

It is a happy number.

3905064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21727 + ... + 21905.

It is an arithmetic number, because the mean of its divisors is an integer number (172125).

Almost surely, 23905064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3905064 is an abundant number, since it is smaller than the sum of its proper divisors (7110936).

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

3905064 is a wasteful number, since it uses less digits than its factorization.

3905064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3905064 is about 1976.1234779234. The cubic root of 3905064 is about 157.4741907823.

The spelling of 3905064 in words is "three million, nine hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 179 202 216 303 358 404 537 606 716 808 909 1074 1212 1432 1611 1818 2148 2424 2727 3222 3636 4296 4833 5454 6444 7272 9666 10908 12888 18079 19332 21816 36158 38664 54237 72316 108474 144632 162711 216948 325422 433896 488133 650844 976266 1301688 1952532 3905064