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126044970 = 235171012447
BaseRepresentation
bin1111000001101…
…00101100101010
322210011202012020
413200310230222
5224231414340
620301325310
73060236022
oct740645452
9283152166
10126044970
11651704a7
1236266836
132016252c
1412a50a82
15b0eb9d0
hex7834b2a

126044970 has 64 divisors (see below), whose sum is σ = 323606016. Its totient is φ = 31308800.

The previous prime is 126044969. The next prime is 126044981. The reversal of 126044970 is 79440621.

It is a happy number.

It is a Curzon number.

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, 50287 + ... + 52733.

It is an arithmetic number, because the mean of its divisors is an integer number (5056344).

Almost surely, 2126044970 is an apocalyptic number.

126044970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126044970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161803008).

126044970 is an abundant number, since it is smaller than the sum of its proper divisors (197561046).

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

126044970 is a wasteful number, since it uses less digits than its factorization.

126044970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 126044970 is about 11226.9751046308. The cubic root of 126044970 is about 501.3894287325.

The spelling of 126044970 in words is "one hundred twenty-six million, forty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 101 102 170 202 255 303 505 510 606 1010 1515 1717 2447 3030 3434 4894 5151 7341 8585 10302 12235 14682 17170 24470 25755 36705 41599 51510 73410 83198 124797 207995 247147 249594 415990 494294 623985 741441 1235735 1247970 1482882 2471470 3707205 4201499 7414410 8402998 12604497 21007495 25208994 42014990 63022485 126044970