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120986047 = 731343631
BaseRepresentation
bin1110011011000…
…01100110111111
322102122201122201
413031201212333
5221433023142
620001052331
72666236000
oct715414677
9272581581
10120986047
1162325676
12346270a7
131c0b09a0
14120d51a7
15a94cab7
hex73619bf

120986047 has 32 divisors (see below), whose sum is σ = 155724800. Its totient is φ = 93350880.

The previous prime is 120986027. The next prime is 120986069. The reversal of 120986047 is 740689021.

It is not a de Polignac number, because 120986047 - 27 = 120985919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120985997 and 120986015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120986027) 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 31 ways as a sum of consecutive naturals, for example, 191422 + ... + 192052.

It is an arithmetic number, because the mean of its divisors is an integer number (4866400).

Almost surely, 2120986047 is an apocalyptic number.

120986047 is a deficient number, since it is larger than the sum of its proper divisors (34738753).

120986047 is an equidigital number, since it uses as much as digits as its factorization.

120986047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 120986047 is about 10999.3657544424. The cubic root of 120986047 is about 494.5897318150.

It can be divided in two parts, 12098 and 6047, that added together give a triangular number (18145 = T190).

The spelling of 120986047 in words is "one hundred twenty million, nine hundred eighty-six thousand, forty-seven".

Divisors: 1 7 13 43 49 91 301 343 559 631 637 2107 3913 4417 4459 8203 14749 27133 27391 30919 57421 189931 191737 216433 352729 401947 1329517 2469103 2813629 9306619 17283721 120986047