Search a number
-
+
12833145 = 3251321937
BaseRepresentation
bin110000111101…
…000101111001
3220010222202200
4300331011321
511241130040
61135020413
7214036263
oct60750571
926128680
1012833145
117275806
12436a709
1328742a0
1419c0b33
1511d7630
hexc3d179

12833145 has 24 divisors (see below), whose sum is σ = 23956296. Its totient is φ = 6317568.

The previous prime is 12833137. The next prime is 12833159. The reversal of 12833145 is 54133821.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45369 + 12787776 = 213^2 + 3576^2 .

It is not a de Polignac number, because 12833145 - 23 = 12833137 is a prime.

It is a super-2 number, since 2×128331452 = 329379221182050, which contains 22 as substring.

It is an unprimeable number.

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, 10384 + ... + 11553.

It is an arithmetic number, because the mean of its divisors is an integer number (998179).

Almost surely, 212833145 is an apocalyptic number.

12833145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12833145 is a deficient number, since it is larger than the sum of its proper divisors (11123151).

12833145 is a wasteful number, since it uses less digits than its factorization.

12833145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21961 (or 21958 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12833145 is about 3582.3379237587. The cubic root of 12833145 is about 234.1231545454.

Adding to 12833145 its reverse (54133821), we get a palindrome (66966966).

The spelling of 12833145 in words is "twelve million, eight hundred thirty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 21937 65811 109685 197433 285181 329055 855543 987165 1425905 2566629 4277715 12833145