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13212496 = 2411411831
BaseRepresentation
bin110010011001…
…101101010000
3220212021010201
4302121231100
511340244441
61151104544
7220206253
oct62315520
926767121
1013212496
117504820
124512154
132977b5b
141a7d09a
15125ec31
hexc99b50

13212496 has 40 divisors (see below), whose sum is σ = 28623168. Its totient is φ = 5856000.

The previous prime is 13212491. The next prime is 13212523. The reversal of 13212496 is 69421231.

13212496 is nontrivially palindromic in base 12.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6301 + ... + 8131.

Almost surely, 213212496 is an apocalyptic number.

13212496 is a gapful number since it is divisible by the number (16) 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 13212496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311584).

13212496 is an abundant number, since it is smaller than the sum of its proper divisors (15410672).

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

13212496 is a wasteful number, since it uses less digits than its factorization.

13212496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1885 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 13212496 is about 3634.8997235137. The cubic root of 13212496 is about 236.4077028114.

The spelling of 13212496 in words is "thirteen million, two hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 1831 3608 3662 7216 7324 14648 20141 29296 40282 75071 80564 150142 161128 300284 322256 600568 825781 1201136 1651562 3303124 6606248 13212496