Search a number
-
+
4105320 = 233534211
BaseRepresentation
bin1111101010010001101000
321201120102220
433222101220
52022332240
6223554040
746615602
oct17522150
97646386
104105320
11235442a
12145b920
13b097ab
1478c172
155615d0
hex3ea468

4105320 has 32 divisors (see below), whose sum is σ = 12316320. Its totient is φ = 1094720.

The previous prime is 4105319. The next prime is 4105333. The reversal of 4105320 is 235014.

4105320 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4105320.

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 7 ways as a sum of consecutive naturals, for example, 16986 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (384885).

Almost surely, 24105320 is an apocalyptic number.

4105320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105320 is an abundant number, since it is smaller than the sum of its proper divisors (8211000).

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

4105320 is a wasteful number, since it uses less digits than its factorization.

4105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34225 (or 34221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4105320 is about 2026.1589276264. The cubic root of 4105320 is about 160.1212622401.

The spelling of 4105320 in words is "four million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34211 68422 102633 136844 171055 205266 273688 342110 410532 513165 684220 821064 1026330 1368440 2052660 4105320