Search a number
-
+
4105040 = 24523297
BaseRepresentation
bin1111101010001101010000
321201120001112
433222031100
52022330130
6223552452
746615022
oct17521520
97646045
104105040
1123541a5
12145b728
13b09624
1478c012
15561495
hex3ea350

4105040 has 60 divisors (see below), whose sum is σ = 10080084. Its totient is φ = 1554432.

The previous prime is 4105033. The next prime is 4105069. The reversal of 4105040 is 405014.

4105040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 2446096 = 1288^2 + 1564^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 42272 + ... + 42368.

Almost surely, 24105040 is an apocalyptic number.

4105040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040042).

4105040 is an abundant number, since it is smaller than the sum of its proper divisors (5975044).

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

4105040 is a wasteful number, since it uses less digits than its factorization.

4105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4105040 is about 2026.0898301902. The cubic root of 4105040 is about 160.1176218440.

The spelling of 4105040 in words is "four million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 97 115 184 194 230 368 388 460 485 529 776 920 970 1058 1552 1840 1940 2116 2231 2645 3880 4232 4462 5290 7760 8464 8924 10580 11155 17848 21160 22310 35696 42320 44620 51313 89240 102626 178480 205252 256565 410504 513130 821008 1026260 2052520 4105040