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126393234 = 231123531571
BaseRepresentation
bin1111000100010…
…01101110010010
322210211102220220
413202021232102
5224324040414
620313013510
73063216252
oct742115622
9283742826
10126393234
1165389120
12363b4296
1320254bc6
1412b01962
15b169ca9
hex7889b92

126393234 has 64 divisors (see below), whose sum is σ = 293372928. Its totient is φ = 35921600.

The previous prime is 126393227. The next prime is 126393247. The reversal of 126393234 is 432393621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 126393195 and 126393204.

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 31 ways as a sum of consecutive naturals, for example, 79669 + ... + 81239.

It is an arithmetic number, because the mean of its divisors is an integer number (4583952).

Almost surely, 2126393234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126393234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146686464).

126393234 is an abundant number, since it is smaller than the sum of its proper divisors (166979694).

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

126393234 is a wasteful number, since it uses less digits than its factorization.

126393234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663.

The product of its digits is 23328, while the sum is 33.

The square root of 126393234 is about 11242.4745496710. The cubic root of 126393234 is about 501.8507860623.

The spelling of 126393234 in words is "one hundred twenty-six million, three hundred ninety-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 53 66 69 106 138 159 253 318 506 583 759 1166 1219 1518 1571 1749 2438 3142 3498 3657 4713 7314 9426 13409 17281 26818 34562 36133 40227 51843 72266 80454 83263 103686 108399 166526 216798 249789 397463 499578 794926 915893 1192389 1831786 1915049 2384778 2747679 3830098 5495358 5745147 11490294 21065539 42131078 63196617 126393234