Search a number
-
+
19693332 = 2232547037
BaseRepresentation
bin100101100011…
…1111100010100
31101001112011200
41023013330110
520020141312
61542032500
7326250651
oct113077424
941045150
1019693332
111013098a
126718730
134106979
142888c28
151ae00dc
hex12c7f14

19693332 has 18 divisors (see below), whose sum is σ = 49780458. Its totient is φ = 6564432.

The previous prime is 19693319. The next prime is 19693337. The reversal of 19693332 is 23339691.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 298116 = 4404^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 547037 = 19693332 / (1 + 9 + 6 + 9 + 3 + 3 + 3 + 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19693337) 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 5 ways as a sum of consecutive naturals, for example, 273483 + ... + 273554.

It is an arithmetic number, because the mean of its divisors is an integer number (2765581).

Almost surely, 219693332 is an apocalyptic number.

19693332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19693332 is an abundant number, since it is smaller than the sum of its proper divisors (30087126).

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

19693332 is a wasteful number, since it uses less digits than its factorization.

19693332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547047 (or 547042 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 19693332 is about 4437.7169806106. The cubic root of 19693332 is about 270.0472345345.

It can be divided in two parts, 196 and 93332, that added together give a triangular number (93528 = T432).

The spelling of 19693332 in words is "nineteen million, six hundred ninety-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 547037 1094074 1641111 2188148 3282222 4923333 6564444 9846666 19693332