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67001985 = 345165437
BaseRepresentation
bin1111111110010…
…1111010000001
311200002001110000
43333211322001
5114123030420
610352030213
71442336031
oct377457201
9150061400
1067001985
1134903646
121a532369
1310b5c05b
148c818c1
155d37690
hex3fe5e81

67001985 has 20 divisors (see below), whose sum is σ = 120107988. Its totient is φ = 35734176.

The previous prime is 67001969. The next prime is 67001989. The reversal of 67001985 is 58910076.

It can be written as a sum of positive squares in 2 ways, for example, as 38229489 + 28772496 = 6183^2 + 5364^2 .

It is not a de Polignac number, because 67001985 - 24 = 67001969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (67001989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82314 + ... + 83123.

Almost surely, 267001985 is an apocalyptic number.

It is an amenable number.

67001985 is a deficient number, since it is larger than the sum of its proper divisors (53106003).

67001985 is a wasteful number, since it uses less digits than its factorization.

67001985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165454 (or 165445 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 67001985 is about 8185.4740241479. The cubic root of 67001985 is about 406.1588210363.

The spelling of 67001985 in words is "sixty-seven million, one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 165437 496311 827185 1488933 2481555 4466799 7444665 13400397 22333995 67001985