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2413240240 = 24585935117
BaseRepresentation
bin1000111111010111…
…0001111110110000
320020011221022021011
42033311301332300
514420242141430
61035244040304
7113542126555
oct21765617660
96204838234
102413240240
111029236124
12574233094
132c5c73308
1418c708a2c
15e1cde22a
hex8fd71fb0

2413240240 has 40 divisors (see below), whose sum is σ = 5617475280. Its totient is φ = 964144896.

The previous prime is 2413240223. The next prime is 2413240261. The reversal of 2413240240 is 420423142.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51162 + ... + 86278.

It is an arithmetic number, because the mean of its divisors is an integer number (140436882).

Almost surely, 22413240240 is an apocalyptic number.

2413240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413240240 is an abundant number, since it is smaller than the sum of its proper divisors (3204235040).

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

2413240240 is a wasteful number, since it uses less digits than its factorization.

2413240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35989 (or 35983 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2413240240 is about 49124.7416278193. The cubic root of 2413240240 is about 1341.3234566906.

Adding to 2413240240 its reverse (420423142), we get a palindrome (2833663382).

The spelling of 2413240240 in words is "two billion, four hundred thirteen million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 859 1718 3436 4295 6872 8590 13744 17180 34360 35117 68720 70234 140468 175585 280936 351170 561872 702340 1404680 2809360 30165503 60331006 120662012 150827515 241324024 301655030 482648048 603310060 1206620120 2413240240