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67066986 = 23721491531
BaseRepresentation
bin1111111111010…
…1110001101010
311200012100121110
43333311301222
5114132120421
610353251150
71443026400
oct377656152
9150170543
1067066986
1134948468
121a563ab6
1310b8280c
148c9b470
155d4ba76
hex3ff5c6a

67066986 has 48 divisors (see below), whose sum is σ = 157183200. Its totient is φ = 19020960.

The previous prime is 67066973. The next prime is 67067029. The reversal of 67066986 is 68966076.

It is a happy number.

It is a super-2 number, since 2×670669862 = 8995961222248392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43041 + ... + 44571.

It is an arithmetic number, because the mean of its divisors is an integer number (3274650).

Almost surely, 267066986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67066986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78591600).

67066986 is an abundant number, since it is smaller than the sum of its proper divisors (90116214).

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

67066986 is a wasteful number, since it uses less digits than its factorization.

67066986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 67066986 is about 8189.4435708417. The cubic root of 67066986 is about 406.2901216074.

The spelling of 67066986 in words is "sixty-seven million, sixty-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 447 894 1043 1531 2086 3062 3129 4593 6258 7301 9186 10717 14602 21434 21903 32151 43806 64302 75019 150038 225057 228119 450114 456238 684357 1368714 1596833 3193666 4790499 9580998 11177831 22355662 33533493 67066986