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13680927 = 331338977
BaseRepresentation
bin110100001100…
…000100011111
3221202001201000
4310030010133
512000242202
61205121343
7224200041
oct64140437
927661630
1013680927
1177a4757
1246b9253
132ab0130
141b61a91
15130391c
hexd0c11f

13680927 has 16 divisors (see below), whose sum is σ = 21827680. Its totient is φ = 8418816.

The previous prime is 13680911. The next prime is 13680941. The reversal of 13680927 is 72908631.

It is not a de Polignac number, because 13680927 - 24 = 13680911 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13680891 and 13680900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680907) 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 15 ways as a sum of consecutive naturals, for example, 19138 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (1364230).

Almost surely, 213680927 is an apocalyptic number.

13680927 is a deficient number, since it is larger than the sum of its proper divisors (8146753).

13680927 is a wasteful number, since it uses less digits than its factorization.

13680927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38999 (or 38993 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13680927 is about 3698.7737157063. The cubic root of 13680927 is about 239.1691583278.

The spelling of 13680927 in words is "thirteen million, six hundred eighty thousand, nine hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 351 38977 116931 350793 506701 1052379 1520103 4560309 13680927