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4105340240 = 245261719609
BaseRepresentation
bin1111010010110010…
…1000010101010000
3101121002220220002112
43310230220111100
531401431341430
61515211404452
7203506546661
oct36454502520
911532826075
104105340240
1118173a2981
12966a53728
135056b4b11
142ad335368
15190632195
hexf4b28550

4105340240 has 40 divisors (see below), whose sum is σ = 9549050280. Its totient is φ = 1641424896.

The previous prime is 4105340237. The next prime is 4105340257. The reversal of 4105340240 is 420435014.

It can be written as a sum of positive squares in 4 ways, for example, as 2934605584 + 1170734656 = 54172^2 + 34216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 199556 + ... + 219164.

It is an arithmetic number, because the mean of its divisors is an integer number (238726257).

Almost surely, 24105340240 is an apocalyptic number.

4105340240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105340240 is an abundant number, since it is smaller than the sum of its proper divisors (5443710040).

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

4105340240 is a wasteful number, since it uses less digits than its factorization.

4105340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22239 (or 22233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4105340240 is about 64072.9290730493. The cubic root of 4105340240 is about 1601.2152538235.

Adding to 4105340240 its reverse (420435014), we get a palindrome (4525775254).

The spelling of 4105340240 in words is "four billion, one hundred five million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2617 5234 10468 13085 19609 20936 26170 39218 41872 52340 78436 98045 104680 156872 196090 209360 313744 392180 784360 1568720 51316753 102633506 205267012 256583765 410534024 513167530 821068048 1026335060 2052670120 4105340240