Search a number
-
+
12728937 = 3131773263
BaseRepresentation
bin110000100011…
…101001101001
3212221200211010
4300203221221
511224311222
61132454133
7213123414
oct60435151
925850733
1012728937
117204491
12431a349
132838a20
141994b7b
1511b680c
hexc23a69

12728937 has 32 divisors (see below), whose sum is σ = 19692288. Its totient is φ = 7243776.

The previous prime is 12728927. The next prime is 12728939. The reversal of 12728937 is 73982721.

It is a de Polignac number, because none of the positive numbers 2k-12728937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 12728895 and 12728904.

It is not an unprimeable number, because it can be changed into a prime (12728939) 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 31 ways as a sum of consecutive naturals, for example, 48268 + ... + 48530.

It is an arithmetic number, because the mean of its divisors is an integer number (615384).

Almost surely, 212728937 is an apocalyptic number.

12728937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12728937 is a deficient number, since it is larger than the sum of its proper divisors (6963351).

12728937 is a wasteful number, since it uses less digits than its factorization.

12728937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 42336, while the sum is 39.

The square root of 12728937 is about 3567.7635852169. The cubic root of 12728937 is about 233.4877207280.

The spelling of 12728937 in words is "twelve million, seven hundred twenty-eight thousand, nine hundred thirty-seven".

Divisors: 1 3 13 17 39 51 73 219 221 263 663 789 949 1241 2847 3419 3723 4471 10257 13413 16133 19199 48399 57597 58123 174369 249587 326383 748761 979149 4242979 12728937