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67964085 = 3257359601
BaseRepresentation
bin1000000110100…
…00110010110101
311201212221012100
410003100302311
5114344322320
610424412313
71453454010
oct403206265
9151787170
1067964085
1135400472
121a917099
1311107c47
149052377
155e77790
hex40d0cb5

67964085 has 48 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 30931200.

The previous prime is 67964077. The next prime is 67964087. The reversal of 67964085 is 58046976.

It is not a de Polignac number, because 67964085 - 23 = 67964077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 67964085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67964087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112785 + ... + 113385.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 267964085 is an apocalyptic number.

It is an amenable number.

67964085 is a deficient number, since it is larger than the sum of its proper divisors (67269195).

67964085 is a wasteful number, since it uses less digits than its factorization.

67964085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 67964085 is about 8244.0332968760. The cubic root of 67964085 is about 408.0936383982.

The spelling of 67964085 in words is "sixty-seven million, nine hundred sixty-four thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 359 601 1077 1795 1803 2513 3005 3231 4207 5385 5409 7539 9015 12565 12621 16155 21035 22617 27045 37695 37863 63105 113085 189315 215759 647277 1078795 1510313 1941831 3236385 4530939 7551565 9709155 13592817 22654695 67964085