Search a number
-
+
1323135 = 375112
BaseRepresentation
bin101000011000001111111
32111020000000
411003001333
5314320020
644205343
714150352
oct5030177
92436000
101323135
11824100
12539853
13374328
14266299
151b2090
hex14307f

1323135 has 48 divisors (see below), whose sum is σ = 2617440. Its totient is φ = 641520.

The previous prime is 1323131. The next prime is 1323137. The reversal of 1323135 is 5313231.

It is not a de Polignac number, because 1323135 - 22 = 1323131 is a prime.

1323135 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323131) 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 47 ways as a sum of consecutive naturals, for example, 120280 + ... + 120290.

It is an arithmetic number, because the mean of its divisors is an integer number (54530).

21323135 is an apocalyptic number.

1323135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1323135 is a deficient number, since it is larger than the sum of its proper divisors (1294305).

1323135 is an frugal number, since it uses more digits than its factorization.

1323135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 19 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 1323135 is about 1150.2760538236. The cubic root of 1323135 is about 109.7829051591.

Adding to 1323135 its reverse (5313231), we get a palindrome (6636366).

The spelling of 1323135 in words is "one million, three hundred twenty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 121 135 165 243 297 363 405 495 605 729 891 1089 1215 1485 1815 2187 2673 3267 3645 4455 5445 8019 9801 10935 13365 16335 24057 29403 40095 49005 88209 120285 147015 264627 441045 1323135