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19743696 = 243376529
BaseRepresentation
bin100101101010…
…0001111010000
31101011002021000
41023110033100
520023244241
61543102000
7326550540
oct113241720
941132230
1019743696
1110165805
126741900
13412387b
14289d320
151aeeeb6
hex12d43d0

19743696 has 80 divisors (see below), whose sum is σ = 64777600. Its totient is φ = 5640192.

The previous prime is 19743677. The next prime is 19743767. The reversal of 19743696 is 69634791.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241 + ... + 6288.

It is an arithmetic number, because the mean of its divisors is an integer number (809720).

Almost surely, 219743696 is an apocalyptic number.

19743696 is a gapful number since it is divisible by the number (16) 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 19743696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32388800).

19743696 is an abundant number, since it is smaller than the sum of its proper divisors (45033904).

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

19743696 is a wasteful number, since it uses less digits than its factorization.

19743696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6541 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 19743696 is about 4443.3878966392. The cubic root of 19743696 is about 270.2772460801.

The spelling of 19743696 in words is "nineteen million, seven hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 6529 13058 19587 26116 39174 45703 52232 58761 78348 91406 104464 117522 137109 156696 176283 182812 235044 274218 313392 352566 365624 411327 470088 548436 705132 731248 822654 940176 1096872 1233981 1410264 1645308 2193744 2467962 2820528 3290616 4935924 6581232 9871848 19743696