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13331032 = 23111343271
BaseRepresentation
bin110010110110…
…101001011000
3221002021201221
4302312221120
511403043112
61153421424
7221211661
oct62665130
927067657
1013331032
117585890
12456a874
1329b9ab0
141ab0368
151284e07
hexcb6a58

13331032 has 64 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 5443200.

The previous prime is 13331011. The next prime is 13331047. The reversal of 13331032 is 23013331.

13331032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13330997 and 13331015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49057 + ... + 49327.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 213331032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

13331032 is an abundant number, since it is smaller than the sum of its proper divisors (16828328).

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

13331032 is a wasteful number, since it uses less digits than its factorization.

13331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 13331032 is about 3651.1685800576. The cubic root of 13331032 is about 237.1125768525.

Adding to 13331032 its reverse (23013331), we get a palindrome (36344363).

The spelling of 13331032 in words is "thirteen million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 86 88 104 143 172 271 286 344 473 542 559 572 946 1084 1118 1144 1892 2168 2236 2981 3523 3784 4472 5962 6149 7046 11653 11924 12298 14092 23306 23848 24596 28184 38753 46612 49192 77506 93224 128183 151489 155012 256366 302978 310024 512732 605956 1025464 1211912 1666379 3332758 6665516 13331032