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13214208 = 29371229
BaseRepresentation
bin110010011010…
…001000000000
3220212100111010
4302122020000
511340323313
61151120520
7220214250
oct62321000
926770433
1013214208
117506037
124513140
132978877
141a7d960
1512604c3
hexc9a200

13214208 has 80 divisors (see below), whose sum is σ = 40265280. Its totient is φ = 3772416.

The previous prime is 13214207. The next prime is 13214221. The reversal of 13214208 is 80241231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10138 + ... + 11366.

It is an arithmetic number, because the mean of its divisors is an integer number (503316).

Almost surely, 213214208 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 13214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132640).

13214208 is an abundant number, since it is smaller than the sum of its proper divisors (27051072).

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

13214208 is an equidigital number, since it uses as much as digits as its factorization.

13214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 13214208 is about 3635.1352106902. The cubic root of 13214208 is about 236.4179131584.

Adding to 13214208 its reverse (80241231), we get a palindrome (93455439).

The spelling of 13214208 in words is "thirteen million, two hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1229 1344 1536 1792 2458 2688 3584 3687 4916 5376 7374 8603 9832 10752 14748 17206 19664 25809 29496 34412 39328 51618 58992 68824 78656 103236 117984 137648 157312 206472 235968 275296 314624 412944 471936 550592 629248 825888 943872 1101184 1651776 1887744 2202368 3303552 4404736 6607104 13214208