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126070056 = 23327318069
BaseRepresentation
bin1111000001110…
…10110100101000
322210020000121100
413200322310220
5224233220211
620302041400
73060402120
oct740726450
9283200540
10126070056
1165188332
1236279260
1320170a88
1412a59c80
15b104156
hex783ad28

126070056 has 96 divisors (see below), whose sum is σ = 402854400. Its totient is φ = 34853760.

The previous prime is 126070031. The next prime is 126070057. The reversal of 126070056 is 650070621.

126070056 is a `hidden beast` number, since 1 + 2 + 607 + 0 + 0 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126070057) 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 23 ways as a sum of consecutive naturals, for example, 11590 + ... + 19658.

It is an arithmetic number, because the mean of its divisors is an integer number (4196400).

Almost surely, 2126070056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126070056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201427200).

126070056 is an abundant number, since it is smaller than the sum of its proper divisors (276784344).

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

126070056 is a wasteful number, since it uses less digits than its factorization.

126070056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 126070056 is about 11228.0922689476. The cubic root of 126070056 is about 501.4226894036.

The spelling of 126070056 in words is "one hundred twenty-six million, seventy thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 8069 15624 16138 24207 32276 48414 56483 64552 72621 96828 112966 145242 169449 193656 225932 250139 290484 338898 451864 500278 508347 580968 677796 750417 1000556 1016694 1355592 1500834 1750973 2001112 2033388 2251251 3001668 3501946 4066776 4502502 5252919 6003336 7003892 9005004 10505838 14007784 15758757 18010008 21011676 31517514 42023352 63035028 126070056