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13486928 = 2471359157
BaseRepresentation
bin110011011100…
…101101010000
3221101012120212
4303130231100
511423040203
61201023252
7222431330
oct63345520
927335525
1013486928
117681a24
124624b28
132a42a40
141b110c0
1512b61d8
hexcdcb50

13486928 has 80 divisors (see below), whose sum is σ = 32914560. Its totient is φ = 5211648.

The previous prime is 13486927. The next prime is 13486937. The reversal of 13486928 is 82968431.

13486928 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 not an unprimeable number, because it can be changed into a prime (13486927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85826 + ... + 85982.

It is an arithmetic number, because the mean of its divisors is an integer number (411432).

Almost surely, 213486928 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 13486928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457280).

13486928 is an abundant number, since it is smaller than the sum of its proper divisors (19427632).

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

13486928 is a wasteful number, since it uses less digits than its factorization.

13486928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 13486928 is about 3672.4553094626. The cubic root of 13486928 is about 238.0332792482.

The spelling of 13486928 in words is "thirteen million, four hundred eighty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 59 91 104 112 118 157 182 208 236 314 364 413 472 628 728 767 826 944 1099 1256 1456 1534 1652 2041 2198 2512 3068 3304 4082 4396 5369 6136 6608 8164 8792 9263 10738 12272 14287 16328 17584 18526 21476 28574 32656 37052 42952 57148 64841 74104 85904 114296 120419 129682 148208 228592 240838 259364 481676 518728 842933 963352 1037456 1685866 1926704 3371732 6743464 13486928