Search a number
-
+
1828101 = 311311787
BaseRepresentation
bin110111110010100000101
310102212200110
412332110011
5431444401
6103103233
721352512
oct6762405
93385613
101828101
111039530
12741b19
134c0122
14358309
152619d6
hex1be505

1828101 has 16 divisors (see below), whose sum is σ = 2746368. Its totient is φ = 1071600.

The previous prime is 1828093. The next prime is 1828117. The reversal of 1828101 is 1018281.

It is not a de Polignac number, because 1828101 - 23 = 1828093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828121) 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 15 ways as a sum of consecutive naturals, for example, 130 + ... + 1916.

It is an arithmetic number, because the mean of its divisors is an integer number (171648).

21828101 is an apocalyptic number.

1828101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1828101 is a deficient number, since it is larger than the sum of its proper divisors (918267).

1828101 is a wasteful number, since it uses less digits than its factorization.

1828101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 1828101 is about 1352.0728530667. The cubic root of 1828101 is about 122.2737960795.

The spelling of 1828101 in words is "one million, eight hundred twenty-eight thousand, one hundred one".

Divisors: 1 3 11 31 33 93 341 1023 1787 5361 19657 55397 58971 166191 609367 1828101