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13798638 = 2327971129
BaseRepresentation
bin110100101000…
…110011101110
3221222001011200
4310220303232
512013024023
61211430330
7225200160
oct64506356
927861150
1013798638
117875137
1247553a6
132b21899
141b92930
151328743
hexd28cee

13798638 has 48 divisors (see below), whose sum is σ = 34550880. Its totient is φ = 3898368.

The previous prime is 13798621. The next prime is 13798639. The reversal of 13798638 is 83689731.

It is a happy number.

13798638 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 8 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13798593 and 13798602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13798639) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11658 + ... + 12786.

It is an arithmetic number, because the mean of its divisors is an integer number (719810).

Almost surely, 213798638 is an apocalyptic number.

13798638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13798638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275440).

13798638 is an abundant number, since it is smaller than the sum of its proper divisors (20752242).

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

13798638 is a wasteful number, since it uses less digits than its factorization.

13798638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1238 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13798638 is about 3714.6518006403. The cubic root of 13798638 is about 239.8531393181.

The spelling of 13798638 in words is "thirteen million, seven hundred ninety-eight thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1129 1358 1746 2037 2258 3387 4074 6111 6774 7903 10161 12222 15806 20322 23709 47418 71127 109513 142254 219026 328539 657078 766591 985617 1533182 1971234 2299773 4599546 6899319 13798638