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120090329 = 177396769
BaseRepresentation
bin1110010100001…
…10111011011001
322100222012221222
413022012323121
5221220342304
615525541425
72655515402
oct712067331
9270865858
10120090329
1161873707
1234274875
131bb59088
1411d409a9
15a8224be
hex7286ed9

120090329 has 8 divisors (see below), whose sum is σ = 128897640. Its totient is φ = 111476736.

The previous prime is 120090307. The next prime is 120090359. The reversal of 120090329 is 923090021.

It can be written as a sum of positive squares in 4 ways, for example, as 35081929 + 85008400 = 5923^2 + 9220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120090329 - 212 = 120086233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120090298 and 120090307.

It is not an unprimeable number, because it can be changed into a prime (120090359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47144 + ... + 49625.

It is an arithmetic number, because the mean of its divisors is an integer number (16112205).

Almost surely, 2120090329 is an apocalyptic number.

It is an amenable number.

120090329 is a deficient number, since it is larger than the sum of its proper divisors (8807311).

120090329 is an equidigital number, since it uses as much as digits as its factorization.

120090329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96859.

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 120090329 is about 10958.5733104269. The cubic root of 120090329 is about 493.3661451981.

The spelling of 120090329 in words is "one hundred twenty million, ninety thousand, three hundred twenty-nine".

Divisors: 1 17 73 1241 96769 1645073 7064137 120090329