Search a number
-
+
126266020 = 225192291451
BaseRepresentation
bin1111000011010…
…10101010100100
322210120222102021
413201222222210
5224311003040
620310152524
73062146336
oct741525244
9283528367
10126266020
1165301591
1236352744
132020c02a
1412aab456
15b14224a
hex786aaa4

126266020 has 48 divisors (see below), whose sum is σ = 280526400. Its totient is φ = 47606400.

The previous prime is 126266009. The next prime is 126266033. The reversal of 126266020 is 20662621.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86295 + ... + 87745.

It is an arithmetic number, because the mean of its divisors is an integer number (5844300).

Almost surely, 2126266020 is an apocalyptic number.

126266020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140263200).

126266020 is an abundant number, since it is smaller than the sum of its proper divisors (154260380).

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

126266020 is a wasteful number, since it uses less digits than its factorization.

126266020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 126266020 is about 11236.8153851525. The cubic root of 126266020 is about 501.6823596498.

The spelling of 126266020 in words is "one hundred twenty-six million, two hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 380 458 916 1145 1451 2290 2902 4351 4580 5804 7255 8702 14510 17404 21755 27569 29020 43510 55138 87020 110276 137845 275690 332279 551380 664558 1329116 1661395 3322790 6313301 6645580 12626602 25253204 31566505 63133010 126266020