Search a number
-
+
13828941 = 337193851
BaseRepresentation
bin110100110000…
…001101001101
3222000120202000
4310300031031
512020011231
61212222513
7225354420
oct64601515
928016660
1013828941
117895985
12476aa39
132b32609
141b9d9b7
1513326e6
hexd3034d

13828941 has 32 divisors (see below), whose sum is σ = 24652800. Its totient is φ = 7484400.

The previous prime is 13828937. The next prime is 13828949. The reversal of 13828941 is 14982831.

It is not a de Polignac number, because 13828941 - 22 = 13828937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13828896 and 13828905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828949) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1666 + ... + 5516.

It is an arithmetic number, because the mean of its divisors is an integer number (770400).

Almost surely, 213828941 is an apocalyptic number.

It is an amenable number.

13828941 is a deficient number, since it is larger than the sum of its proper divisors (10823859).

13828941 is a wasteful number, since it uses less digits than its factorization.

13828941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3880 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13828941 is about 3718.7284117020. The cubic root of 13828941 is about 240.0285903440.

The spelling of 13828941 in words is "thirteen million, eight hundred twenty-eight thousand, nine hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 3851 11553 26957 34659 73169 80871 103977 219507 242613 512183 658521 727839 1536549 1975563 4609647 13828941