Search a number
-
+
12889935 = 3551032
BaseRepresentation
bin110001001010…
…111101001111
3220020212200000
4301022331033
511244434220
61140135343
7214363662
oct61127517
926225600
1012889935
117304443
124397553
1328940a6
1419d76d9
1511e9390
hexc4af4f

12889935 has 36 divisors (see below), whose sum is σ = 23397192. Its totient is φ = 6807888.

The previous prime is 12889909. The next prime is 12889939. The reversal of 12889935 is 53998821.

It is a happy number.

It is not a de Polignac number, because 12889935 - 29 = 12889423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12889939) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125094 + ... + 125196.

It is an arithmetic number, because the mean of its divisors is an integer number (649922).

Almost surely, 212889935 is an apocalyptic number.

12889935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12889935 is a deficient number, since it is larger than the sum of its proper divisors (10507257).

12889935 is an frugal number, since it uses more digits than its factorization.

12889935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 111 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 12889935 is about 3590.2555619343. The cubic root of 12889935 is about 234.4679982941.

It can be divided in two parts, 12889 and 935, that added together give a cube (13824 = 243).

The spelling of 12889935 in words is "twelve million, eight hundred eighty-nine thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 103 135 243 309 405 515 927 1215 1545 2781 4635 8343 10609 13905 25029 31827 41715 53045 95481 125145 159135 286443 477405 859329 1432215 2577987 4296645 12889935