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13932401 = 71727197
BaseRepresentation
bin110101001001…
…011101110001
3222012211122212
4311021131301
512031314101
61214341505
7226265150
oct65113561
928184585
1013932401
11795668a
1247ba895
132b6a732
141bc9597
1513531bb
hexd49771

13932401 has 24 divisors (see below), whose sum is σ = 17329536. Its totient is φ = 10967040.

The previous prime is 13932389. The next prime is 13932403. The reversal of 13932401 is 10423931.

It is not a de Polignac number, because 13932401 - 214 = 13916017 is a prime.

It is a super-3 number, since 3×139324013 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13932403) 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, 143585 + ... + 143681.

It is an arithmetic number, because the mean of its divisors is an integer number (722064).

Almost surely, 213932401 is an apocalyptic number.

It is an amenable number.

13932401 is a deficient number, since it is larger than the sum of its proper divisors (3397135).

13932401 is an equidigital number, since it uses as much as digits as its factorization.

13932401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13932401 is about 3732.6131597046. The cubic root of 13932401 is about 240.6256879949.

The spelling of 13932401 in words is "thirteen million, nine hundred thirty-two thousand, four hundred one".

Divisors: 1 7 17 71 97 119 289 497 679 1207 1649 2023 6887 8449 11543 20519 28033 48209 117079 143633 196231 819553 1990343 13932401