Search a number
-
+
126403866 = 232291032351
BaseRepresentation
bin1111000100011…
…00010100011010
322210211222111200
413202030110122
5224324410431
620313135030
73063262251
oct742142432
9283758450
10126403866
1165396106
12363ba476
13202599b4
1412b05798
15b16cee6
hex788c51a

126403866 has 48 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 40269600.

The previous prime is 126403841. The next prime is 126403867. The reversal of 126403866 is 668304621.

126403866 is a `hidden beast` number, since 1 + 2 + 640 + 3 + 8 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 126403866.

It is not an unprimeable number, because it can be changed into a prime (126403867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52591 + ... + 54941.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2126403866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126403866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

126403866 is an abundant number, since it is smaller than the sum of its proper divisors (159787494).

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

126403866 is a wasteful number, since it uses less digits than its factorization.

126403866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 126403866 is about 11242.9473893637. The cubic root of 126403866 is about 501.8648573006.

The spelling of 126403866 in words is "one hundred twenty-six million, four hundred three thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 103 174 206 261 309 522 618 927 1854 2351 2987 4702 5974 7053 8961 14106 17922 21159 26883 42318 53766 68179 136358 204537 242153 409074 484306 613611 726459 1227222 1452918 2179377 4358754 7022437 14044874 21067311 42134622 63201933 126403866