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13369216 = 27743347
BaseRepresentation
bin110010111111…
…111110000000
3221011020010011
4302333332000
511410303331
61154314304
7221431210
oct62777600
927136104
1013369216
117601543
124588994
132a012a3
141ac0240
1512913b1
hexcbff80

13369216 has 64 divisors (see below), whose sum is σ = 31236480. Its totient is φ = 5580288.

The previous prime is 13369211. The next prime is 13369231. The reversal of 13369216 is 61296331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13369211) 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, 38355 + ... + 38701.

It is an arithmetic number, because the mean of its divisors is an integer number (488070).

Almost surely, 213369216 is an apocalyptic number.

13369216 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 13369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618240).

13369216 is an abundant number, since it is smaller than the sum of its proper divisors (17867264).

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

13369216 is an equidigital number, since it uses as much as digits as its factorization.

13369216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 13369216 is about 3656.3938518710. The cubic root of 13369216 is about 237.3387477899.

The spelling of 13369216 in words is "thirteen million, three hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 347 448 602 688 694 896 1204 1376 1388 2408 2429 2752 2776 4816 4858 5504 5552 9632 9716 11104 14921 19264 19432 22208 29842 38528 38864 44416 59684 77728 104447 119368 155456 208894 238736 310912 417788 477472 835576 954944 1671152 1909888 3342304 6684608 13369216