Search a number
-
+
12766390 = 2571314029
BaseRepresentation
bin110000101100…
…110010110110
3220000121012021
4300230302312
511232011030
61133343354
7213340540
oct60546266
926017167
1012766390
11722a63a
124337b5a
13284caa0
1419a4690
1511c297a
hexc2ccb6

12766390 has 32 divisors (see below), whose sum is σ = 28284480. Its totient is φ = 4040064.

The previous prime is 12766373. The next prime is 12766393. The reversal of 12766390 is 9366721.

12766390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12766393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6105 + ... + 7924.

It is an arithmetic number, because the mean of its divisors is an integer number (883890).

Almost surely, 212766390 is an apocalyptic number.

12766390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12766390 is an abundant number, since it is smaller than the sum of its proper divisors (15518090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12766390 is a wasteful number, since it uses less digits than its factorization.

12766390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14056.

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 12766390 is about 3573.0085362339. The cubic root of 12766390 is about 233.7164974337.

The spelling of 12766390 in words is "twelve million, seven hundred sixty-six thousand, three hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 14029 28058 70145 98203 140290 182377 196406 364754 491015 911885 982030 1276639 1823770 2553278 6383195 12766390