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13350816 = 2532151307
BaseRepresentation
bin110010111011…
…011110100000
3221010021212200
4302323132200
511404211231
61154053200
7221323443
oct62733640
927107780
1013350816
117599736
12457a200
1329c5abb
141ab765a
15128abe6
hexcbb7a0

13350816 has 72 divisors (see below), whose sum is σ = 38342304. Its totient is φ = 4406400.

The previous prime is 13350803. The next prime is 13350823. The reversal of 13350816 is 61805331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13350816.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43335 + ... + 43641.

It is an arithmetic number, because the mean of its divisors is an integer number (532532).

Almost surely, 213350816 is an apocalyptic number.

13350816 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 13350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171152).

13350816 is an abundant number, since it is smaller than the sum of its proper divisors (24991488).

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

13350816 is a wasteful number, since it uses less digits than its factorization.

13350816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13350816 is about 3653.8768452152. The cubic root of 13350816 is about 237.2298150014.

The spelling of 13350816 in words is "thirteen million, three hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 307 453 604 614 906 921 1208 1228 1359 1812 1842 2416 2456 2718 2763 3624 3684 4832 4912 5436 5526 7248 7368 9824 10872 11052 14496 14736 21744 22104 29472 43488 44208 46357 88416 92714 139071 185428 278142 370856 417213 556284 741712 834426 1112568 1483424 1668852 2225136 3337704 4450272 6675408 13350816