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67117105 = 51117233121
BaseRepresentation
bin1000000000000…
…10000000110001
311200021220100201
410000002000301
5114140221410
610354315201
71443325456
oct400020061
9150256321
1067117105
1134982090
121a588b01
1310b9c583
148cb182d
155d5b83a
hex4002031

67117105 has 32 divisors (see below), whose sum is σ = 97106688. Its totient is φ = 43929600.

The previous prime is 67117097. The next prime is 67117117. The reversal of 67117105 is 50171176.

It is not a de Polignac number, because 67117105 - 23 = 67117097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19945 + ... + 23065.

It is an arithmetic number, because the mean of its divisors is an integer number (3034584).

Almost surely, 267117105 is an apocalyptic number.

It is an amenable number.

67117105 is a deficient number, since it is larger than the sum of its proper divisors (29989583).

67117105 is a wasteful number, since it uses less digits than its factorization.

67117105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177.

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 67117105 is about 8192.5029752817. The cubic root of 67117105 is about 406.3913029564.

The spelling of 67117105 in words is "sixty-seven million, one hundred seventeen thousand, one hundred five".

Divisors: 1 5 11 17 23 55 85 115 187 253 391 935 1265 1955 3121 4301 15605 21505 34331 53057 71783 171655 265285 358915 583627 789613 1220311 2918135 3948065 6101555 13423421 67117105