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13506235420 = 22513716330241
BaseRepresentation
bin11001001010000100…
…01100110000011100
31021212021100211220111
430211002030300130
5210130044013140
610112113255404
7655461051436
oct144502146034
937767324814
1013506235420
115800a10637
12274b264564
13137322aca2
14921aa5656
15540aec7ea
hex32508cc1c

13506235420 has 48 divisors (see below), whose sum is σ = 28746351648. Its totient is φ = 5329981440.

The previous prime is 13506235411. The next prime is 13506235423. The reversal of 13506235420 is 2453260531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506235423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431500 + ... + 461740.

It is an arithmetic number, because the mean of its divisors is an integer number (598882326).

Almost surely, 213506235420 is an apocalyptic number.

13506235420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13506235420 is an abundant number, since it is smaller than the sum of its proper divisors (15240116228).

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

13506235420 is a wasteful number, since it uses less digits than its factorization.

13506235420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30550 (or 30548 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 13506235420 its reverse (2453260531), we get a palindrome (15959495951).

The spelling of 13506235420 in words is "thirteen billion, five hundred six million, two hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 163 274 326 548 652 685 815 1370 1630 2740 3260 22331 30241 44662 60482 89324 111655 120964 151205 223310 302410 446620 604820 4143017 4929283 8286034 9858566 16572068 19717132 20715085 24646415 41430170 49292830 82860340 98585660 675311771 1350623542 2701247084 3376558855 6753117710 13506235420