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13110272 = 21073159
BaseRepresentation
bin110010000000…
…110000000000
3220200001220122
4302000300000
511324012042
61144555412
7216302240
oct62006000
926601818
1013110272
117444a3a
124482b68
132940476
141a53b20
15123e7d2
hexc80c00

13110272 has 88 divisors (see below), whose sum is σ = 31441920. Its totient is φ = 5345280.

The previous prime is 13110269. The next prime is 13110277. The reversal of 13110272 is 27201131.

It is a self number, because there is not a number n which added to its sum of digits gives 13110272.

It is not an unprimeable number, because it can be changed into a prime (13110277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222179 + ... + 222237.

Almost surely, 213110272 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 13110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720960).

13110272 is an abundant number, since it is smaller than the sum of its proper divisors (18331648).

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

13110272 is an equidigital number, since it uses as much as digits as its factorization.

13110272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 13110272 is about 3620.8109588875. The cubic root of 13110272 is about 235.7964346316.

The spelling of 13110272 in words is "thirteen million, one hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 59 62 64 112 118 124 128 217 224 236 248 256 413 434 448 472 496 512 826 868 896 944 992 1024 1652 1736 1792 1829 1888 1984 3304 3472 3584 3658 3776 3968 6608 6944 7168 7316 7552 7936 12803 13216 13888 14632 15104 15872 25606 26432 27776 29264 30208 31744 51212 52864 55552 58528 60416 102424 105728 111104 117056 204848 211456 222208 234112 409696 422912 468224 819392 936448 1638784 1872896 3277568 6555136 13110272