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13793031 = 3371923167
BaseRepresentation
bin110100100111…
…011100000111
3221221202111000
4310213130013
512012334111
61211344343
7225144630
oct64473407
927852430
1013793031
1178709aa
1247520b3
132b1c175
141b90887
151326c56
hexd27707

13793031 has 64 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 7099488.

The previous prime is 13793027. The next prime is 13793033. The reversal of 13793031 is 13039731.

It is not a de Polignac number, because 13793031 - 22 = 13793027 is a prime.

It is a super-2 number, since 2×137930312 = 380495408333922, 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 = 13792986 and 13793004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793033) 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 63 ways as a sum of consecutive naturals, for example, 82510 + ... + 82676.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 213793031 is an apocalyptic number.

13793031 is a deficient number, since it is larger than the sum of its proper divisors (12011769).

13793031 is a wasteful number, since it uses less digits than its factorization.

13793031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 13793031 is about 3713.8970098806. The cubic root of 13793031 is about 239.8206472525.

The spelling of 13793031 in words is "thirteen million, seven hundred ninety-three thousand, thirty-one".

Divisors: 1 3 7 9 19 21 23 27 57 63 69 133 161 167 171 189 207 399 437 483 501 513 621 1169 1197 1311 1449 1503 3059 3173 3507 3591 3841 3933 4347 4509 9177 9519 10521 11523 11799 22211 26887 27531 28557 31563 34569 66633 72979 80661 82593 85671 103707 199899 218937 241983 510853 599697 656811 725949 1532559 1970433 4597677 13793031