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19813485 = 351923659
BaseRepresentation
bin100101110010…
…1010001101101
31101021121222210
41023211101231
520033012420
61544401033
7330261156
oct113452155
941247883
1019813485
111020318a
126776179
134149573
1428ba92d
151b159e0
hex12e546d

19813485 has 24 divisors (see below), whose sum is σ = 33467040. Its totient is φ = 10008288.

The previous prime is 19813459. The next prime is 19813487. The reversal of 19813485 is 58431891.

19813485 = T134 + T135 + ... + T494.

It is not a de Polignac number, because 19813485 - 26 = 19813421 is a prime.

It is a super-3 number, since 3×198134853 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19813487) by changing a digit.

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, 3586 + ... + 7244.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 219813485 is an apocalyptic number.

19813485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19813485 is a deficient number, since it is larger than the sum of its proper divisors (13653555).

19813485 is a wasteful number, since it uses less digits than its factorization.

19813485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3686 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 19813485 is about 4451.2340985394. The cubic root of 19813485 is about 270.5953256278.

The spelling of 19813485 in words is "nineteen million, eight hundred thirteen thousand, four hundred eighty-five".

Divisors: 1 3 5 15 19 57 95 285 361 1083 1805 3659 5415 10977 18295 54885 69521 208563 347605 1042815 1320899 3962697 6604495 19813485