Search a number
-
+
19379085 = 3511257457
BaseRepresentation
bin100100111101…
…1001110001101
31100110120002220
41021323032031
514430112320
61531205553
7323501535
oct111731615
940416086
1019379085
11aa36880
1265a68b9
13402691b
1428064c5
151a7be40
hex127b38d

19379085 has 32 divisors (see below), whose sum is σ = 34031232. Its totient is φ = 9338880.

The previous prime is 19379039. The next prime is 19379093. The reversal of 19379085 is 58097391.

It is a happy number.

It is not a de Polignac number, because 19379085 - 26 = 19379021 is a prime.

It is a super-3 number, since 3×193790853 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42177 + ... + 42633.

It is an arithmetic number, because the mean of its divisors is an integer number (1063476).

Almost surely, 219379085 is an apocalyptic number.

19379085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19379085 is a deficient number, since it is larger than the sum of its proper divisors (14652147).

19379085 is a wasteful number, since it uses less digits than its factorization.

19379085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733.

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 19379085 is about 4402.1682157773. The cubic root of 19379085 is about 268.6031424076.

The spelling of 19379085 in words is "nineteen million, three hundred seventy-nine thousand, eighty-five".

Divisors: 1 3 5 11 15 33 55 165 257 457 771 1285 1371 2285 2827 3855 5027 6855 8481 14135 15081 25135 42405 75405 117449 352347 587245 1291939 1761735 3875817 6459695 19379085