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14768325 = 3552111317
BaseRepresentation
bin111000010101…
…100011000101
31000210022100000
4320111203011
512240041300
61244311513
7236346225
oct70254305
930708300
1014768325
118377730
124b42599
1330a1070
141d66085
15146ac00
hexe158c5

14768325 has 144 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 6220800.

The previous prime is 14768317. The next prime is 14768329. The reversal of 14768325 is 52386741.

It is not a de Polignac number, because 14768325 - 23 = 14768317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14768325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768329) 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 143 ways as a sum of consecutive naturals, for example, 868717 + ... + 868733.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 214768325 is an apocalyptic number.

14768325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14768325 is an abundant number, since it is smaller than the sum of its proper divisors (19354491).

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

14768325 is a wasteful number, since it uses less digits than its factorization.

14768325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 14768325 is about 3842.9578452021. The cubic root of 14768325 is about 245.3449257988.

It can be divided in two parts, 1476 and 8325, that added together give a square (9801 = 992).

The spelling of 14768325 in words is "fourteen million, seven hundred sixty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 17 25 27 33 39 45 51 55 65 75 81 85 99 117 135 143 153 165 187 195 221 225 243 255 275 297 325 351 405 425 429 459 495 561 585 663 675 715 765 825 891 935 975 1053 1105 1215 1275 1287 1377 1485 1683 1755 1989 2025 2145 2295 2431 2475 2673 2805 2925 3159 3315 3575 3825 3861 4131 4455 4675 5049 5265 5525 5967 6075 6435 6885 7293 7425 8415 8775 9945 10725 11475 11583 12155 13365 14025 15147 15795 16575 17901 19305 20655 21879 22275 25245 26325 29835 32175 34425 34749 36465 42075 45441 49725 53703 57915 60775 65637 66825 75735 78975 89505 96525 103275 109395 126225 149175 173745 182325 196911 227205 268515 289575 328185 378675 447525 546975 590733 868725 984555 1136025 1342575 1640925 2953665 4922775 14768325