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12505328 = 2411411733
BaseRepresentation
bin101111101101…
…000011110000
3212112100002022
4233231003300
511200132303
61124011012
7211202453
oct57550360
925470068
1012505328
117071490
124230a68
13278b004
14193749a
151170438
hexbed0f0

12505328 has 40 divisors (see below), whose sum is σ = 27092016. Its totient is φ = 5542400.

The previous prime is 12505327. The next prime is 12505331. The reversal of 12505328 is 82350521.

It is a junction number, because it is equal to n+sod(n) for n = 12505297 and 12505306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505327) 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 7 ways as a sum of consecutive naturals, for example, 6350 + ... + 8082.

Almost surely, 212505328 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 12505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13546008).

12505328 is an abundant number, since it is smaller than the sum of its proper divisors (14586688).

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

12505328 is a wasteful number, since it uses less digits than its factorization.

12505328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 12505328 is about 3536.2873186437. The cubic root of 12505328 is about 232.1124108439.

Adding to 12505328 its reverse (82350521), we get a palindrome (94855849).

The spelling of 12505328 in words is "twelve million, five hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1733 1804 3466 3608 6932 7216 13864 19063 27728 38126 71053 76252 142106 152504 284212 305008 568424 781583 1136848 1563166 3126332 6252664 12505328