Search a number
-
+
1331919 = 32197789
BaseRepresentation
bin101000101001011001111
32111200001100
411011023033
5320110134
644314143
714215101
oct5051317
92450040
101331919
1182a766
12542953
13378324
14269571
151b4999
hex1452cf

1331919 has 12 divisors (see below), whose sum is σ = 2025400. Its totient is φ = 841104.

The previous prime is 1331857. The next prime is 1331921. The reversal of 1331919 is 9191331.

It is not a de Polignac number, because 1331919 - 28 = 1331663 is a prime.

It is a super-2 number, since 2×13319192 = 3548016445122, which contains 22 as substring.

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

1331919 is a modest number, since divided by 1919 gives 133 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1331892 and 1331901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331929) 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 11 ways as a sum of consecutive naturals, for example, 3724 + ... + 4065.

21331919 is an apocalyptic number.

1331919 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1331919 is a deficient number, since it is larger than the sum of its proper divisors (693481).

1331919 is a wasteful number, since it uses less digits than its factorization.

1331919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7811 counting only the distinct ones).

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

The square root of 1331919 is about 1154.0879515877. The cubic root of 1331919 is about 110.0253109799.

The spelling of 1331919 in words is "one million, three hundred thirty-one thousand, nine hundred nineteen".

Divisors: 1 3 9 19 57 171 7789 23367 70101 147991 443973 1331919