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13063792 = 247219877
BaseRepresentation
bin110001110101…
…011001110000
3220120201011011
4301311121300
511321020132
61144000304
7216016600
oct61653160
926521134
1013063792
117413025
124460094
132925271
141a40c00
151230b47
hexc75670

13063792 has 60 divisors (see below), whose sum is σ = 31028520. Its totient is φ = 5298048.

The previous prime is 13063783. The next prime is 13063807. The reversal of 13063792 is 29736031.

13063792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130637922 = 341325322838528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14458 + ... + 15334.

It is an arithmetic number, because the mean of its divisors is an integer number (517142).

Almost surely, 213063792 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 13063792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514260).

13063792 is an abundant number, since it is smaller than the sum of its proper divisors (17964728).

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

13063792 is a wasteful number, since it uses less digits than its factorization.

13063792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 13063792 is about 3614.3868082982. The cubic root of 13063792 is about 235.5174473906.

The spelling of 13063792 in words is "thirteen million, sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 877 931 1064 1754 1862 2128 3508 3724 6139 7016 7448 12278 14032 14896 16663 24556 33326 42973 49112 66652 85946 98224 116641 133304 171892 233282 266608 343784 466564 687568 816487 933128 1632974 1866256 3265948 6531896 13063792