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120075683 = 7132101501
BaseRepresentation
bin1110010100000…
…11010110100011
322100221110212112
413022003112203
5221214410213
615525345535
72655424610
oct712032643
9270843775
10120075683
1161863702
12342682ab
131bb52500
1411d39507
15a81cea8
hex72835a3

120075683 has 12 divisors (see below), whose sum is σ = 148598928. Its totient is φ = 95004000.

The previous prime is 120075671. The next prime is 120075701. The reversal of 120075683 is 386570021.

It is a happy number.

It is not a de Polignac number, because 120075683 - 210 = 120074659 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120075623) 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 11 ways as a sum of consecutive naturals, for example, 49568 + ... + 51933.

It is an arithmetic number, because the mean of its divisors is an integer number (12383244).

Almost surely, 2120075683 is an apocalyptic number.

120075683 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120075683 is a deficient number, since it is larger than the sum of its proper divisors (28523245).

120075683 is a wasteful number, since it uses less digits than its factorization.

120075683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101534 (or 101521 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 120075683 is about 10957.9050461299. The cubic root of 120075683 is about 493.3460877009.

The spelling of 120075683 in words is "one hundred twenty million, seventy-five thousand, six hundred eighty-three".

Divisors: 1 7 13 91 169 1183 101501 710507 1319513 9236591 17153669 120075683