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13206460240 = 2451371204969
BaseRepresentation
bin11000100110010101…
…01001011101010000
31021002101021200200001
430103022221131100
5204021323211430
610022244135344
7645161026351
oct142312513520
937071250601
1013206460240
115667780056
122686997554
1313260ab61c
148d3d4dd28
155246353ca
hex3132a9750

13206460240 has 40 divisors (see below), whose sum is σ = 30929169960. Its totient is φ = 5244020736.

The previous prime is 13206460237. The next prime is 13206460247. The reversal of 13206460240 is 4206460231.

It can be written as a sum of positive squares in 4 ways, for example, as 2237668416 + 10968791824 = 47304^2 + 104732^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13206460199 and 13206460208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13206460247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591525 + ... + 613444.

It is an arithmetic number, because the mean of its divisors is an integer number (773229249).

Almost surely, 213206460240 is an apocalyptic number.

13206460240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13206460240 is an abundant number, since it is smaller than the sum of its proper divisors (17722709720).

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

13206460240 is a wasteful number, since it uses less digits than its factorization.

13206460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205119 (or 1205113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Subtracting from 13206460240 its reverse (4206460231), we obtain a palindrome (9000000009).

The spelling of 13206460240 in words is "thirteen billion, two hundred six million, four hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 1204969 2409938 4819876 6024845 9639752 12049690 19279504 24099380 48198760 96397520 165080753 330161506 660323012 825403765 1320646024 1650807530 2641292048 3301615060 6603230120 13206460240