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68083967 = 729312349
BaseRepresentation
bin1000000111011…
…10000011111111
311202010000122102
410003232003333
5114412141332
610431135315
71454463350
oct403560377
9152100572
1068083967
1135482546
121a97453b
131114a693
149083d27
155e9d062
hex40ee0ff

68083967 has 24 divisors (see below), whose sum is σ = 83412000. Its totient is φ = 54371520.

The previous prime is 68083957. The next prime is 68084039. The reversal of 68083967 is 76938086.

It is not a de Polignac number, because 68083967 - 28 = 68083711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68083957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194909 + ... + 195257.

It is an arithmetic number, because the mean of its divisors is an integer number (3475500).

Almost surely, 268083967 is an apocalyptic number.

68083967 is a deficient number, since it is larger than the sum of its proper divisors (15328033).

68083967 is a wasteful number, since it uses less digits than its factorization.

68083967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 68083967 is about 8251.3009277325. The cubic root of 68083967 is about 408.3334432134. Note that the first 3 decimals are identical.

The spelling of 68083967 in words is "sixty-eight million, eighty-three thousand, nine hundred sixty-seven".

Divisors: 1 7 29 31 203 217 349 899 961 2443 6293 6727 10121 10819 27869 70847 75733 195083 313751 335389 2196257 2347723 9726281 68083967