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120076060 = 225136167113
BaseRepresentation
bin1110010100000…
…11011100011100
322100221111101111
413022003130130
5221214413220
615525351404
72655425656
oct712033434
9270844344
10120076060
1161863a15
1234268564
131bb52730
1411d396d6
15a81d15a
hex728371c

120076060 has 96 divisors (see below), whose sum is σ = 282606912. Its totient is φ = 42577920.

The previous prime is 120076057. The next prime is 120076079. The reversal of 120076060 is 60670021.

It is a congruent 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, 1062564 + ... + 1062676.

It is an arithmetic number, because the mean of its divisors is an integer number (2943822).

Almost surely, 2120076060 is an apocalyptic number.

120076060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120076060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141303456).

120076060 is an abundant number, since it is smaller than the sum of its proper divisors (162530852).

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

120076060 is a wasteful number, since it uses less digits than its factorization.

120076060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 120076060 is about 10957.9222483097. The cubic root of 120076060 is about 493.3466040177.

The spelling of 120076060 in words is "one hundred twenty million, seventy-six thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 67 113 122 130 134 226 244 260 268 305 335 452 565 610 670 793 871 1130 1220 1340 1469 1586 1742 2260 2938 3172 3484 3965 4087 4355 5876 6893 7345 7571 7930 8174 8710 13786 14690 15142 15860 16348 17420 20435 27572 29380 30284 34465 37855 40870 53131 68930 75710 81740 89609 98423 106262 137860 151420 179218 196846 212524 265655 358436 393692 448045 461831 492115 531310 896090 923662 984230 1062620 1792180 1847324 1968460 2309155 4618310 6003803 9236620 12007606 24015212 30019015 60038030 120076060