Search a number
-
+
1919133 = 34192943
BaseRepresentation
bin111010100100010011101
310121111120000
413110202131
5442403013
6105044513
722212066
oct7244235
93544500
101919133
1110a0967
12786739
135226a8
1437d56d
1527d973
hex1d489d

1919133 has 40 divisors (see below), whose sum is σ = 3194400. Its totient is φ = 1143072.

The previous prime is 1919123. The next prime is 1919149. The reversal of 1919133 is 3319191.

It is not a de Polignac number, because 1919133 - 213 = 1910941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 1919097 and 1919106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1919123) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 44610 + ... + 44652.

It is an arithmetic number, because the mean of its divisors is an integer number (79860).

21919133 is an apocalyptic number.

It is an amenable number.

1919133 is a deficient number, since it is larger than the sum of its proper divisors (1275267).

1919133 is a wasteful number, since it uses less digits than its factorization.

1919133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its digits is 729, while the sum is 27.

The square root of 1919133 is about 1385.3277590520. The cubic root of 1919133 is about 124.2705892924.

The spelling of 1919133 in words is "one million, nine hundred nineteen thousand, one hundred thirty-three".

Divisors: 1 3 9 19 27 29 43 57 81 87 129 171 261 387 513 551 783 817 1161 1247 1539 1653 2349 2451 3483 3741 4959 7353 11223 14877 22059 23693 33669 44631 66177 71079 101007 213237 639711 1919133