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14382564 = 2237473643
BaseRepresentation
bin110110110111…
…010111100100
31000001201011120
4312313113210
512140220224
61232133540
7233151450
oct66672744
930051146
1014382564
118133919
1249972b0
132c975c1
141ca5660
1513e1779
hexdb75e4

14382564 has 48 divisors (see below), whose sum is σ = 39180288. Its totient is φ = 4020768.

The previous prime is 14382559. The next prime is 14382569. The reversal of 14382564 is 46528341.

It is an interprime number because it is at equal distance from previous prime (14382559) and next prime (14382569).

It is not an unprimeable number, because it can be changed into a prime (14382569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127 + ... + 5769.

It is an arithmetic number, because the mean of its divisors is an integer number (816256).

Almost surely, 214382564 is an apocalyptic number.

14382564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14382564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19590144).

14382564 is an abundant number, since it is smaller than the sum of its proper divisors (24797724).

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

14382564 is a wasteful number, since it uses less digits than its factorization.

14382564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3702 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 14382564 is about 3792.4351016201. The cubic root of 14382564 is about 243.1898463919.

The spelling of 14382564 in words is "fourteen million, three hundred eighty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 3643 3948 7286 10929 14572 21858 25501 43716 51002 76503 102004 153006 171221 306012 342442 513663 684884 1027326 1198547 2054652 2397094 3595641 4794188 7191282 14382564