Search a number
-
+
12406290 = 2351322447
BaseRepresentation
bin101111010100…
…111000010010
3212100022020020
4233110320102
511134000130
61121524310
7210310641
oct57247022
925308206
1012406290
117004036
1241a3696
132754c00
14190d358
151150e10
hexbd4e12

12406290 has 48 divisors (see below), whose sum is σ = 32254848. Its totient is φ = 3052608.

The previous prime is 12406267. The next prime is 12406307. The reversal of 12406290 is 9260421.

12406290 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12406290.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3847 + ... + 6293.

It is an arithmetic number, because the mean of its divisors is an integer number (671976).

Almost surely, 212406290 is an apocalyptic number.

12406290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12406290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127424).

12406290 is an abundant number, since it is smaller than the sum of its proper divisors (19848558).

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

12406290 is a wasteful number, since it uses less digits than its factorization.

12406290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12406290 is about 3522.2563790843. The cubic root of 12406290 is about 231.4980353025.

The spelling of 12406290 in words is "twelve million, four hundred six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2447 2535 4894 5070 7341 12235 14682 24470 31811 36705 63622 73410 95433 159055 190866 318110 413543 477165 827086 954330 1240629 2067715 2481258 4135430 6203145 12406290