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126050166 = 232112389311
BaseRepresentation
bin1111000001101…
…01111101110110
322210012000022200
413200311331312
5224232101131
620301405330
73060260124
oct740657566
9283160280
10126050166
11651743a0
1236269846
13201649c8
1412a52914
15b0ed2e6
hex7835f76

126050166 has 96 divisors (see below), whose sum is σ = 315394560. Its totient is φ = 36009600.

The previous prime is 126050159. The next prime is 126050201. The reversal of 126050166 is 661050621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405151 + ... + 405461.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 2126050166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126050166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157697280).

126050166 is an abundant number, since it is smaller than the sum of its proper divisors (189344394).

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

126050166 is a wasteful number, since it uses less digits than its factorization.

126050166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 126050166 is about 11227.2065091901. The cubic root of 126050166 is about 501.3963182939.

The spelling of 126050166 in words is "one hundred twenty-six million, fifty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 89 99 138 178 198 207 253 267 311 414 506 534 622 759 801 933 979 1518 1602 1866 1958 2047 2277 2799 2937 3421 4094 4554 5598 5874 6141 6842 7153 8811 10263 12282 14306 17622 18423 20526 21459 22517 27679 30789 36846 42918 45034 55358 61578 64377 67551 78683 83037 128754 135102 157366 166074 202653 236049 249111 304469 405306 472098 498222 608938 636617 708147 913407 1273234 1416294 1826814 1909851 2740221 3819702 5480442 5729553 7002787 11459106 14005574 21008361 42016722 63025083 126050166