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13214448 = 2433132181
BaseRepresentation
bin110010011010…
…001011110000
3220212100211000
4302122023300
511340330243
61151122000
7220215042
oct62321360
926770730
1013214448
117506235
124513300
132978a00
141a7da92
1512605d3
hexc9a2f0

13214448 has 120 divisors (see below), whose sum is σ = 41299440. Its totient is φ = 4043520.

The previous prime is 13214447. The next prime is 13214471. The reversal of 13214448 is 84441231.

13214448 is a `hidden beast` number, since 1 + 3 + 214 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214447) 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 23 ways as a sum of consecutive naturals, for example, 72918 + ... + 73098.

It is an arithmetic number, because the mean of its divisors is an integer number (344162).

Almost surely, 213214448 is an apocalyptic number.

13214448 is a gapful number since it is divisible by the number (18) 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 13214448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20649720).

13214448 is an abundant number, since it is smaller than the sum of its proper divisors (28084992).

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

13214448 is a wasteful number, since it uses less digits than its factorization.

13214448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 13214448 is about 3635.1682216921. The cubic root of 13214448 is about 236.4193444450.

Adding to 13214448 its reverse (84441231), we get a palindrome (97655679).

The spelling of 13214448 in words is "thirteen million, two hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 181 208 216 234 312 338 351 362 432 468 507 543 624 676 702 724 936 1014 1086 1352 1404 1448 1521 1629 1872 2028 2172 2353 2704 2808 2896 3042 3258 4056 4344 4563 4706 4887 5616 6084 6516 7059 8112 8688 9126 9412 9774 12168 13032 14118 18252 18824 19548 21177 24336 26064 28236 30589 36504 37648 39096 42354 56472 61178 63531 73008 78192 84708 91767 112944 122356 127062 169416 183534 244712 254124 275301 338832 367068 489424 508248 550602 734136 825903 1016496 1101204 1468272 1651806 2202408 3303612 4404816 6607224 13214448