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4105231240 = 2351111382567
BaseRepresentation
bin1111010010110000…
…1101101110001000
3101121002201100120111
43310230031232020
531401414344430
61515205204104
7203505614125
oct36454155610
911532640514
104105231240
111817328aa0
12966a00634
13505677316
142ad30774c
1519060ec2a
hexf4b0db88

4105231240 has 64 divisors (see below), whose sum is σ = 10165772160. Its totient is φ = 1479582720.

The previous prime is 4105231237. The next prime is 4105231243. The reversal of 4105231240 is 421325014.

4105231240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4105231237) and next prime (4105231243).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4105231243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437 + ... + 91003.

It is an arithmetic number, because the mean of its divisors is an integer number (158840190).

Almost surely, 24105231240 is an apocalyptic number.

4105231240 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 4105231240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082886080).

4105231240 is an abundant number, since it is smaller than the sum of its proper divisors (6060540920).

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

4105231240 is a wasteful number, since it uses less digits than its factorization.

4105231240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82702 (or 82698 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4105231240 is about 64072.0784741684. The cubic root of 4105231240 is about 1601.2010825249.

Adding to 4105231240 its reverse (421325014), we get a palindrome (4526556254).

The spelling of 4105231240 in words is "four billion, one hundred five million, two hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 113 220 226 440 452 565 904 1130 1243 2260 2486 4520 4972 6215 9944 12430 24860 49720 82567 165134 330268 412835 660536 825670 908237 1651340 1816474 3302680 3632948 4541185 7265896 9082370 9330071 18164740 18660142 36329480 37320284 46650355 74640568 93300710 102630781 186601420 205261562 373202840 410523124 513153905 821046248 1026307810 2052615620 4105231240