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120028729 = 5379109263
BaseRepresentation
bin1110010011101…
…11111000111001
322100212002110111
413021313320321
5221211404404
615524344321
72655140662
oct711677071
9270762414
10120028729
11618313a7
12342450a1
131bb37022
1411d26369
15a80e104
hex7277e39

120028729 has 16 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 114768576.

The previous prime is 120028723. The next prime is 120028801. The reversal of 120028729 is 927820021.

It is a cyclic number.

It is not a de Polignac number, because 120028729 - 29 = 120028217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120028729.

It is not an unprimeable number, because it can be changed into a prime (120028723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 456252 + ... + 456514.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2120028729 is an apocalyptic number.

It is an amenable number.

120028729 is a deficient number, since it is larger than the sum of its proper divisors (5424071).

120028729 is a wasteful number, since it uses less digits than its factorization.

120028729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 120028729 is about 10955.7623650753. The cubic root of 120028729 is about 493.2817738401.

It can be divided in two parts, 1200 and 28729, that added together give a square (29929 = 1732).

The spelling of 120028729 in words is "one hundred twenty million, twenty-eight thousand, seven hundred twenty-nine".

Divisors: 1 53 79 109 263 4187 5777 8611 13939 20777 28667 456383 1101181 1519351 2264693 120028729