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13784082 = 23131971131
BaseRepresentation
bin110100100101…
…010000010010
3221221022012120
4310211100102
512012042312
61211235110
7225106554
oct64452022
927838176
1013784082
117865204
124748a96
132b18080
141b8b4d4
15132428c
hexd25412

13784082 has 64 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3931200.

The previous prime is 13784051. The next prime is 13784087. The reversal of 13784082 is 28048731.

It is not an unprimeable number, because it can be changed into a prime (13784087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105157 + ... + 105287.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 213784082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13784082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

13784082 is an abundant number, since it is smaller than the sum of its proper divisors (18149358).

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

13784082 is a wasteful number, since it uses less digits than its factorization.

13784082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13784082 is about 3712.6920152364. The cubic root of 13784082 is about 239.7687703473.

It can be divided in two parts, 1378 and 4082, that added together give a triangular number (5460 = T104).

The spelling of 13784082 in words is "thirteen million, seven hundred eighty-four thousand, eighty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 131 142 213 247 262 393 426 494 741 786 923 1349 1482 1703 1846 2489 2698 2769 3406 4047 4978 5109 5538 7467 8094 9301 10218 14934 17537 18602 27903 32357 35074 52611 55806 64714 97071 105222 120913 176719 194142 241826 353438 362739 530157 725478 1060314 2297347 4594694 6892041 13784082