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13802096 = 2471117659
BaseRepresentation
bin110100101001…
…101001110000
3221222012220202
4310221221300
512013131341
61211454332
7225213230
oct64515160
927865822
1013802096
1178777a0
1247573a8
132b23329
141b93cc0
15132979b
hexd29a70

13802096 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 5053440.

The previous prime is 13802083. The next prime is 13802123. The reversal of 13802096 is 69020831.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20615 + ... + 21273.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 213802096 is an apocalyptic number.

13802096 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 13802096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

13802096 is an abundant number, since it is smaller than the sum of its proper divisors (21552784).

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

13802096 is a wasteful number, since it uses less digits than its factorization.

13802096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 13802096 is about 3715.1172256068. The cubic root of 13802096 is about 239.8731737321.

The spelling of 13802096 in words is "thirteen million, eight hundred two thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 659 748 952 1232 1309 1318 1496 1904 2618 2636 2992 4613 5236 5272 7249 9226 10472 10544 11203 14498 18452 20944 22406 28996 36904 44812 50743 57992 73808 78421 89624 101486 115984 123233 156842 179248 202972 246466 313684 405944 492932 627368 811888 862631 985864 1254736 1725262 1971728 3450524 6901048 13802096