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14880294 = 23311134147
BaseRepresentation
bin111000110000…
…111000100110
31000222222221000
4320300320212
512302132134
61250534130
7240323532
oct70607046
930888830
1014880294
118443870
124b97346
133110010
141d94bc2
15148de99
hexe30e26

14880294 has 128 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3974400.

The previous prime is 14880293. The next prime is 14880301. The reversal of 14880294 is 49208841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14880293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316579 + ... + 316625.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 214880294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14880294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

14880294 is an abundant number, since it is smaller than the sum of its proper divisors (25762266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14880294 is a wasteful number, since it uses less digits than its factorization.

14880294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14880294 is about 3857.4984121837. The cubic root of 14880294 is about 245.9634091918.

The spelling of 14880294 in words is "fourteen million, eight hundred eighty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 41 47 54 66 78 82 94 99 117 123 141 143 198 234 246 282 286 297 351 369 423 429 451 517 533 594 611 702 738 846 858 902 1034 1066 1107 1222 1269 1287 1353 1551 1599 1833 1927 2214 2538 2574 2706 3102 3198 3666 3854 3861 4059 4653 4797 5499 5781 5863 6721 7722 8118 9306 9594 10998 11562 11726 12177 13442 13959 14391 16497 17343 17589 20163 21197 24354 25051 27918 28782 32994 34686 35178 40326 42394 50102 52029 52767 60489 63591 75153 104058 105534 120978 127182 150306 158301 181467 190773 225459 275561 316602 362934 381546 450918 551122 572319 676377 826683 1144638 1352754 1653366 2480049 4960098 7440147 14880294