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13420007540 = 2256718735347
BaseRepresentation
bin11000111111110010…
…10001000001110100
31021122021010000111022
430133321101001310
5204441010220130
610055353200312
7653363116262
oct143771210164
937567100438
1013420007540
115767276325
122726400098
13135b3c9c84
1491445b432
155382687e5
hex31fe51074

13420007540 has 48 divisors (see below), whose sum is σ = 28623266112. Its totient is φ = 5284071936.

The previous prime is 13420007509. The next prime is 13420007617. The reversal of 13420007540 is 4570002431.

13420007540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2507147 + ... + 2512493.

It is an arithmetic number, because the mean of its divisors is an integer number (596318044).

Almost surely, 213420007540 is an apocalyptic number.

13420007540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13420007540 is an abundant number, since it is smaller than the sum of its proper divisors (15203258572).

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

13420007540 is a wasteful number, since it uses less digits than its factorization.

13420007540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

Adding to 13420007540 its reverse (4570002431), we get a palindrome (17990009971).

The spelling of 13420007540 in words is "thirteen billion, four hundred twenty million, seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 1873 3746 5347 7492 9365 10694 18730 21388 26735 37460 53470 106940 125491 250982 358249 501964 627455 716498 1254910 1432996 1791245 2509820 3582490 7164980 10014931 20029862 40059724 50074655 100149310 200298620 671000377 1342000754 2684001508 3355001885 6710003770 13420007540