Search a number
-
+
1809129 = 37231397
BaseRepresentation
bin110111001101011101001
310101220122210
412321223221
5430343004
6102435333
721243300
oct6715351
93356583
101809129
111026253
12732b49
134b45ba
14351437
1525b089
hex1b9ae9

1809129 has 24 divisors (see below), whose sum is σ = 2903808. Its totient is φ = 997920.

The previous prime is 1809121. The next prime is 1809133. The reversal of 1809129 is 9219081.

It is not a de Polignac number, because 1809129 - 23 = 1809121 is a prime.

It is an Ulam number.

It is a Curzon number.

1809129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1809096 and 1809105.

It is not an unprimeable number, because it can be changed into a prime (1809121) 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 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 4755.

It is an arithmetic number, because the mean of its divisors is an integer number (120992).

21809129 is an apocalyptic number.

It is an amenable number.

1809129 is a deficient number, since it is larger than the sum of its proper divisors (1094679).

1809129 is a wasteful number, since it uses less digits than its factorization.

1809129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 1809129 is about 1345.0386611544. The cubic root of 1809129 is about 121.8493392392.

The spelling of 1809129 in words is "one million, eight hundred nine thousand, one hundred twenty-nine".

Divisors: 1 3 7 21 31 49 93 147 217 397 651 1191 1519 2779 4557 8337 12307 19453 36921 58359 86149 258447 603043 1809129