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13782142 = 211256951
BaseRepresentation
bin110100100100…
…110001111110
3221221012112201
4310210301332
512012012032
61211222114
7225101113
oct64446176
927835481
1013782142
117863800
12474793a
132b1721a
141b8a90a
1513238e7
hexd24c7e

13782142 has 12 divisors (see below), whose sum is σ = 22723848. Its totient is φ = 6264500.

The previous prime is 13782137. The next prime is 13782149. The reversal of 13782142 is 24128731.

It is a self number, because there is not a number n which added to its sum of digits gives 13782142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782149) 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 5 ways as a sum of consecutive naturals, for example, 28234 + ... + 28717.

It is an arithmetic number, because the mean of its divisors is an integer number (1893654).

Almost surely, 213782142 is an apocalyptic number.

13782142 is a deficient number, since it is larger than the sum of its proper divisors (8941706).

13782142 is a wasteful number, since it uses less digits than its factorization.

13782142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56975 (or 56964 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 13782142 is about 3712.4307400947. The cubic root of 13782142 is about 239.7575213032.

It can be divided in two parts, 13782 and 142, that added together give a square (13924 = 1182).

The spelling of 13782142 in words is "thirteen million, seven hundred eighty-two thousand, one hundred forty-two".

Divisors: 1 2 11 22 121 242 56951 113902 626461 1252922 6891071 13782142