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126666666 = 23872197
BaseRepresentation
bin1111000110011…
…00011110101010
322211100100000000
413203030132222
5224411313131
620322523430
73065435400
oct743143652
9284310000
10126666666
11655555a5
1236506576
132031c4b9
1412b73470
15b1c0ce6
hex78cc7aa

126666666 has 108 divisors (see below), whose sum is σ = 333196578. Its totient is φ = 36006768.

The previous prime is 126666641. The next prime is 126666667. The reversal of 126666666 is 666666621.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 54331641 = 8505^2 + 7371^2 .

It is a nude number because it is divisible by every one of its digits.

126666666 is a modest number, since divided by 66666 gives 1266 as remainder.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (126666667) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 642880 + ... + 643076.

Almost surely, 2126666666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126666666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166598289).

126666666 is an abundant number, since it is smaller than the sum of its proper divisors (206529912).

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

126666666 is an frugal number, since it uses more digits than its factorization.

126666666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 126666666 is about 11254.6286478053. The cubic root of 126666666 is about 502.2124173135.

Subtracting from 126666666 its sum of digits (45), we obtain a palindrome (126666621).

The spelling of 126666666 in words is "one hundred twenty-six million, six hundred sixty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 197 243 294 378 394 441 486 567 591 729 882 1134 1182 1323 1379 1458 1701 1773 2187 2646 2758 3402 3546 3969 4137 4374 5103 5319 6561 7938 8274 9653 10206 10638 11907 12411 13122 15309 15957 19306 23814 24822 28959 30618 31914 35721 37233 45927 47871 57918 71442 74466 86877 91854 95742 107163 111699 143613 173754 214326 223398 260631 287226 321489 335097 430839 521262 642978 670194 781893 861678 1005291 1292517 1563786 2010582 2345679 2585034 3015873 4691358 6031746 7037037 9047619 14074074 18095238 21111111 42222222 63333333 126666666