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14288967 = 347112979
BaseRepresentation
bin110110100000…
…100001000111
3222212221210000
4312200201013
512124221332
61230132343
7232311540
oct66404107
928787700
1014288967
11807a570
1249510b3
132c63b14
141c7d4c7
1513c3b7c
hexda0847

14288967 has 80 divisors (see below), whose sum is σ = 27878400. Its totient is φ = 7076160.

The previous prime is 14288941. The next prime is 14288971. The reversal of 14288967 is 76988241.

It is not a de Polignac number, because 14288967 - 26 = 14288903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288917) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180834 + ... + 180912.

It is an arithmetic number, because the mean of its divisors is an integer number (348480).

Almost surely, 214288967 is an apocalyptic number.

14288967 is a deficient number, since it is larger than the sum of its proper divisors (13589433).

14288967 is a wasteful number, since it uses less digits than its factorization.

14288967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14288967 is about 3780.0749992560. The cubic root of 14288967 is about 242.6611646987.

The spelling of 14288967 in words is "fourteen million, two hundred eighty-eight thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 79 81 87 99 189 203 231 237 261 297 319 553 567 609 693 711 783 869 891 957 1659 1827 2079 2133 2233 2291 2349 2607 2871 4977 5481 6083 6237 6399 6699 6873 7821 8613 14931 16037 16443 18249 20097 20619 23463 25201 25839 44793 48111 54747 60291 61857 70389 75603 144333 164241 176407 180873 185571 226809 432999 492723 529221 680427 1298997 1587663 2041281 4762989 14288967