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14820393 = 372412459
BaseRepresentation
bin111000100010…
…010000101001
31000212221202110
4320202100221
512243223033
61245352533
7236654100
oct70422051
930787673
1014820393
118402865
124b68749
1330bb983
141d7b037
15147b363
hexe22429

14820393 has 24 divisors (see below), whose sum is σ = 23556960. Its totient is φ = 8258880.

The previous prime is 14820389. The next prime is 14820401. The reversal of 14820393 is 39302841.

It is not a de Polignac number, because 14820393 - 22 = 14820389 is a prime.

It is a super-3 number, since 3×148203933 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14820393.

It is not an unprimeable number, because it can be changed into a prime (14820293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4798 + ... + 7256.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 214820393 is an apocalyptic number.

It is an amenable number.

14820393 is a deficient number, since it is larger than the sum of its proper divisors (8736567).

14820393 is a wasteful number, since it uses less digits than its factorization.

14820393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 14820393 is about 3849.7263539114. The cubic root of 14820393 is about 245.6329213562.

The spelling of 14820393 in words is "fourteen million, eight hundred twenty thousand, three hundred ninety-three".

Divisors: 1 3 7 21 41 49 123 147 287 861 2009 2459 6027 7377 17213 51639 100819 120491 302457 361473 705733 2117199 4940131 14820393