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67680160 = 255423001
BaseRepresentation
bin1000000100010…
…11011110100000
311201100111201121
410002023132200
5114311231120
610414342024
71451162152
oct402133640
9151314647
1067680160
1135227119
121a7ba914
1311038942
148dbaad2
155e1d5aa
hex408b7a0

67680160 has 24 divisors (see below), whose sum is σ = 159894756. Its totient is φ = 27072000.

The previous prime is 67680133. The next prime is 67680199. The reversal of 67680160 is 6108676.

It can be written as a sum of positive squares in 2 ways, for example, as 67305616 + 374544 = 8204^2 + 612^2 .

It is a super-4 number, since 4×676801604 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211341 + ... + 211660.

Almost surely, 267680160 is an apocalyptic number.

It is an amenable number.

67680160 is an abundant number, since it is smaller than the sum of its proper divisors (92214596).

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

67680160 is a wasteful number, since it uses less digits than its factorization.

67680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423016 (or 423008 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 67680160 is about 8226.7952448083. The cubic root of 67680160 is about 407.5245647430.

The spelling of 67680160 in words is "sixty-seven million, six hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 423001 846002 1692004 2115005 3384008 4230010 6768016 8460020 13536032 16920040 33840080 67680160