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13393512 = 2334111879
BaseRepresentation
bin110011000101…
…111001101000
3221012110110000
4303011321220
511412043022
61155023000
7221562066
oct63057150
927173400
1013393512
117618820
12459aa60
132a0c372
141ac9036
1512986ac
hexcc5e68

13393512 has 80 divisors (see below), whose sum is σ = 40946400. Its totient is φ = 4056480.

The previous prime is 13393483. The next prime is 13393517. The reversal of 13393512 is 21539331.

It is a happy number.

13393512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13393517) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6189 + ... + 8067.

It is an arithmetic number, because the mean of its divisors is an integer number (511830).

Almost surely, 213393512 is an apocalyptic number.

13393512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13393512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473200).

13393512 is an abundant number, since it is smaller than the sum of its proper divisors (27552888).

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

13393512 is a wasteful number, since it uses less digits than its factorization.

13393512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1895 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 13393512 is about 3659.7147429820. The cubic root of 13393512 is about 237.4824334191.

It can be divided in two parts, 1339 and 3512, that added together give a triangular number (4851 = T98).

The spelling of 13393512 in words is "thirteen million, three hundred ninety-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 1879 2376 3564 3758 5637 7128 7516 11274 15032 16911 20669 22548 33822 41338 45096 50733 62007 67644 82676 101466 124014 135288 152199 165352 186021 202932 248028 304398 372042 405864 496056 558063 608796 744084 1116126 1217592 1488168 1674189 2232252 3348378 4464504 6696756 13393512