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4114096 = 247109337
BaseRepresentation
bin1111101100011010110000
321202000110221
433230122300
52023122341
6224102424
746653310
oct17543260
97660427
104114096
11235aa88
121464a14
13b1079c
14791440
15563ed1
hex3ec6b0

4114096 has 40 divisors (see below), whose sum is σ = 9220640. Its totient is φ = 1741824.

The previous prime is 4114087. The next prime is 4114133. The reversal of 4114096 is 6904114.

4114096 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

4114096 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 4114096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12040 + ... + 12376.

It is an arithmetic number, because the mean of its divisors is an integer number (230516).

Almost surely, 24114096 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 4114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610320).

4114096 is an abundant number, since it is smaller than the sum of its proper divisors (5106544).

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

4114096 is a wasteful number, since it uses less digits than its factorization.

4114096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4114096 is about 2028.3234456072. The cubic root of 4114096 is about 160.2352788545.

The spelling of 4114096 in words is "four million, one hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 218 337 436 674 763 872 1348 1526 1744 2359 2696 3052 4718 5392 6104 9436 12208 18872 36733 37744 73466 146932 257131 293864 514262 587728 1028524 2057048 4114096