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13782231 = 35431319
BaseRepresentation
bin110100100100…
…110011010111
3221221012200000
4310210303113
512012012411
61211222343
7225101301
oct64446327
927835600
1013782231
117863881
1247479b3
132b17288
141b8a971
151323956
hexd24cd7

13782231 has 24 divisors (see below), whose sum is σ = 21141120. Its totient is φ = 8967672.

The previous prime is 13782229. The next prime is 13782269. The reversal of 13782231 is 13228731.

It is not a de Polignac number, because 13782231 - 21 = 13782229 is a prime.

It is a super-2 number, since 2×137822312 = 379899782674722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13782195 and 13782204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782211) 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, 9790 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (880880).

Almost surely, 213782231 is an apocalyptic number.

13782231 is a deficient number, since it is larger than the sum of its proper divisors (7358889).

13782231 is an equidigital number, since it uses as much as digits as its factorization.

13782231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1365 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13782231 is about 3712.4427268309. The cubic root of 13782231 is about 239.7580373907.

The spelling of 13782231 in words is "thirteen million, seven hundred eighty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 1319 3483 3957 10449 11871 35613 56717 106839 170151 320517 510453 1531359 4594077 13782231