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67216064 = 267314387
BaseRepresentation
bin1000000000110…
…10001011000000
311200110221002212
410000122023000
5114201403224
610400401252
71444220126
oct400321300
9150427085
1067216064
1134a3a473
121a616228
1310c05626
148cd9916
155d7ad0e
hex401a2c0

67216064 has 28 divisors (see below), whose sum is σ = 135218424. Its totient is φ = 33145344.

The previous prime is 67216057. The next prime is 67216067. The reversal of 67216064 is 46061276.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 67216064.

It is not an unprimeable number, because it can be changed into a prime (67216067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2522 + ... + 11865.

Almost surely, 267216064 is an apocalyptic number.

67216064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67216064 is an abundant number, since it is smaller than the sum of its proper divisors (68002360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67216064 is a wasteful number, since it uses less digits than its factorization.

67216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 67216064 is about 8198.5403578930. The cubic root of 67216064 is about 406.5909357621.

The spelling of 67216064 in words is "sixty-seven million, two hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 2336 4672 14387 28774 57548 115096 230192 460384 920768 1050251 2100502 4201004 8402008 16804016 33608032 67216064