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4102045240 = 235315362417
BaseRepresentation
bin1111010010000000…
…0011111000111000
3101120212201111012111
43310200003320320
531400110421430
61515013022104
7203436544366
oct36440037070
911525644174
104102045240
111815552337
12965924934
13504b00107
142acb18636
151901d0c2a
hexf4803e38

4102045240 has 64 divisors (see below), whose sum is σ = 9707247360. Its totient is φ = 1557903360.

The previous prime is 4102045237. The next prime is 4102045247. The reversal of 4102045240 is 425402014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102045247) 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, 34512 + ... + 96928.

It is an arithmetic number, because the mean of its divisors is an integer number (151675740).

Almost surely, 24102045240 is an apocalyptic number.

4102045240 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 4102045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853623680).

4102045240 is an abundant number, since it is smaller than the sum of its proper divisors (5605202120).

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

4102045240 is a wasteful number, since it uses less digits than its factorization.

4102045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62512 (or 62508 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4102045240 is about 64047.2110243686. The cubic root of 4102045240 is about 1600.7867536982.

Adding to 4102045240 its reverse (425402014), we get a palindrome (4527447254).

The spelling of 4102045240 in words is "four billion, one hundred two million, forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 53 62 106 124 155 212 248 265 310 424 530 620 1060 1240 1643 2120 3286 6572 8215 13144 16430 32860 62417 65720 124834 249668 312085 499336 624170 1248340 1934927 2496680 3308101 3869854 6616202 7739708 9674635 13232404 15479416 16540505 19349270 26464808 33081010 38698540 66162020 77397080 102551131 132324040 205102262 410204524 512755655 820409048 1025511310 2051022620 4102045240