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19786914 = 2327532963
BaseRepresentation
bin100101101111…
…0110010100010
31101020021112200
41023132302202
520031140124
61544034030
7330120540
oct113366242
941207480
1019786914
1110195224
126762916
13413a444
1428b0d90
151b0cbc9
hex12deca2

19786914 has 48 divisors (see below), whose sum is σ = 49937472. Its totient is φ = 5544864.

The previous prime is 19786901. The next prime is 19786927. The reversal of 19786914 is 41968791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19786901) and next prime (19786927).

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 19786914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5197 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (1040364).

Almost surely, 219786914 is an apocalyptic number.

19786914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19786914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24968736).

19786914 is an abundant number, since it is smaller than the sum of its proper divisors (30150558).

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

19786914 is a wasteful number, since it uses less digits than its factorization.

19786914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3028 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 19786914 is about 4448.2484193219. The cubic root of 19786914 is about 270.4743103217.

The spelling of 19786914 in words is "nineteen million, seven hundred eighty-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 2963 3339 5926 6678 8889 17778 20741 26667 41482 53334 62223 124446 157039 186669 314078 373338 471117 942234 1099273 1413351 2198546 2826702 3297819 6595638 9893457 19786914