Search a number
-
+
4095104 = 271323107
BaseRepresentation
bin1111100111110010000000
321201001102112
433213302000
52022020404
6223434452
746544036
oct17476200
97631375
104095104
112347792
121455a28
13b04c50
14788556
1555d56e
hex3e7c80

4095104 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 1790976.

The previous prime is 4095103. The next prime is 4095109. The reversal of 4095104 is 4015904.

It is a happy number.

4095104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 4095104.

It is not an unprimeable number, because it can be changed into a prime (4095103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38219 + ... + 38325.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 24095104 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 4095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

4095104 is an abundant number, since it is smaller than the sum of its proper divisors (5158336).

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

4095104 is a wasteful number, since it uses less digits than its factorization.

4095104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4095104 is about 2023.6363309646. The cubic root of 4095104 is about 159.9883324825.

The spelling of 4095104 in words is "four million, ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 107 128 184 208 214 299 368 416 428 598 736 832 856 1196 1391 1472 1664 1712 2392 2461 2782 2944 3424 4784 4922 5564 6848 9568 9844 11128 13696 19136 19688 22256 31993 38272 39376 44512 63986 78752 89024 127972 157504 178048 255944 315008 511888 1023776 2047552 4095104