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12414675 = 35271317107
BaseRepresentation
bin101111010110…
…111011010011
3212100201201210
4233112323103
511134232200
61122031203
7210344250
oct57267323
925321653
1012414675
11700a369
1241a8503
132758980
141912427
151153650
hexbd6ed3

12414675 has 96 divisors (see below), whose sum is σ = 26998272. Its totient is φ = 4884480.

The previous prime is 12414643. The next prime is 12414679. The reversal of 12414675 is 57641421.

12414675 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12414675 - 25 = 12414643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414679) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115972 + ... + 116078.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 212414675 is an apocalyptic number.

12414675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12414675 is an abundant number, since it is smaller than the sum of its proper divisors (14583597).

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

12414675 is a wasteful number, since it uses less digits than its factorization.

12414675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 12414675 is about 3523.4464661748. The cubic root of 12414675 is about 231.5501775056.

The spelling of 12414675 in words is "twelve million, four hundred fourteen thousand, six hundred seventy-five".

Divisors: 1 3 5 7 13 15 17 21 25 35 39 51 65 75 85 91 105 107 119 175 195 221 255 273 321 325 357 425 455 525 535 595 663 749 975 1105 1275 1365 1391 1547 1605 1785 1819 2247 2275 2675 2975 3315 3745 4173 4641 5457 5525 6825 6955 7735 8025 8925 9095 9737 11235 12733 16575 18725 20865 23205 23647 27285 29211 34775 38199 38675 45475 48685 56175 63665 70941 104325 116025 118235 136425 146055 165529 190995 243425 318325 354705 496587 591175 730275 827645 954975 1773525 2482935 4138225 12414675