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126006661 = 11311632267
BaseRepresentation
bin1111000001010…
…11010110000101
322210002210122101
413200223112011
5224224203121
620300432101
73060016234
oct740532605
9283083571
10126006661
1165144740
1236248631
132014ac71
1412a40b1b
15b0e0491
hex782b585

126006661 has 16 divisors (see below), whose sum is σ = 142829568. Its totient is φ = 110127600.

The previous prime is 126006649. The next prime is 126006667. The reversal of 126006661 is 166600621.

It is not a de Polignac number, because 126006661 - 219 = 125482373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126006667) by changing a digit.

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, 54450 + ... + 56716.

It is an arithmetic number, because the mean of its divisors is an integer number (8926848).

Almost surely, 2126006661 is an apocalyptic number.

126006661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126006661 is a deficient number, since it is larger than the sum of its proper divisors (16822907).

126006661 is a wasteful number, since it uses less digits than its factorization.

126006661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 126006661 is about 11225.2688609227. The cubic root of 126006661 is about 501.3386276206.

The spelling of 126006661 in words is "one hundred twenty-six million, six thousand, six hundred sixty-one".

Divisors: 1 11 31 163 341 1793 2267 5053 24937 55583 70277 369521 773047 4064731 11455151 126006661