Search a number
-
+
19283985 = 3257292111
BaseRepresentation
bin100100110010…
…0000000010001
31100021201122200
41021210000101
514414041420
61525153413
7322624350
oct111440021
940251580
1019283985
11a981386
12655b869
133cc2556
1427bd997
151a5db90
hex1264011

19283985 has 48 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 8507520.

The previous prime is 19283963. The next prime is 19283989. The reversal of 19283985 is 58938291.

It is a happy number.

It is not a de Polignac number, because 19283985 - 27 = 19283857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 19283985.

It is not an unprimeable number, because it can be changed into a prime (19283989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8080 + ... + 10190.

It is an arithmetic number, because the mean of its divisors is an integer number (823680).

Almost surely, 219283985 is an apocalyptic number.

19283985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19283985 is an abundant number, since it is smaller than the sum of its proper divisors (20252655).

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

19283985 is a wasteful number, since it uses less digits than its factorization.

19283985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2155 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 19283985 is about 4391.3534360149. The cubic root of 19283985 is about 268.1630449544.

The spelling of 19283985 in words is "nineteen million, two hundred eighty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 2111 3045 6333 9135 10555 14777 18999 31665 44331 61219 73885 94995 132993 183657 221655 306095 428533 550971 664965 918285 1285599 2142665 2754855 3856797 6427995 19283985