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13143216 = 243833299
BaseRepresentation
bin110010001000…
…110010110000
3220201202002210
4302020302300
511331040331
61145412120
7216500262
oct62106260
926652083
1013143216
117467769
12449a040
132952468
141a61b32
151249446
hexc88cb0

13143216 has 40 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 4326976.

The previous prime is 13143211. The next prime is 13143217. The reversal of 13143216 is 61234131.

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

It is a junction number, because it is equal to n+sod(n) for n = 13143192 and 13143201.

It is not an unprimeable number, because it can be changed into a prime (13143211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335 + ... + 5633.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 213143216 is an apocalyptic number.

13143216 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 13143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

13143216 is an abundant number, since it is smaller than the sum of its proper divisors (21229584).

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

13143216 is a wasteful number, since it uses less digits than its factorization.

13143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3387 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 13143216 is about 3625.3573616955. The cubic root of 13143216 is about 235.9937755708.

Adding to 13143216 its reverse (61234131), we get a palindrome (74377347).

The spelling of 13143216 in words is "thirteen million, one hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3299 3984 6598 9897 13196 19794 26392 39588 52784 79176 158352 273817 547634 821451 1095268 1642902 2190536 3285804 4381072 6571608 13143216