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14954401 = 7112937181
BaseRepresentation
bin111001000010…
…111110100001
31001010202120201
4321002332201
512312020101
61252305201
7241052560
oct71027641
931122521
1014954401
118494510
125012201
133137977
141db3bd7
1514a5e01
hexe42fa1

14954401 has 32 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 10886400.

The previous prime is 14954383. The next prime is 14954417. The reversal of 14954401 is 10445941.

14954401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14954401 - 213 = 14946209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14954401.

It is not an unprimeable number, because it can be changed into a prime (14954461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82531 + ... + 82711.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 214954401 is an apocalyptic number.

14954401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14954401 is the 2233-rd octagonal number.

It is an amenable number.

14954401 is a deficient number, since it is larger than the sum of its proper divisors (4963679).

14954401 is a wasteful number, since it uses less digits than its factorization.

14954401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 14954401 is about 3867.0920599334. The cubic root of 14954401 is about 246.3710497643.

The spelling of 14954401 in words is "fourteen million, nine hundred fifty-four thousand, four hundred one".

Divisors: 1 7 11 29 37 77 181 203 259 319 407 1073 1267 1991 2233 2849 5249 6697 7511 11803 13937 36743 46879 57739 73667 82621 194213 404173 515669 1359491 2136343 14954401