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66058740 = 22345112337
BaseRepresentation
bin1111101111111…
…1100111110100
311121022010120000
43323333213310
5113402334430
610315511300
71431330036
oct373774764
9147263500
1066058740
1134319a00
121a158530
13108bb917
148ab7c56
155bece60
hex3eff9f4

66058740 has 180 divisors, whose sum is σ = 228456228. Its totient is φ = 15966720.

The previous prime is 66058721. The next prime is 66058757. The reversal of 66058740 is 4785066.

It is a happy number.

66058740 is a `hidden beast` number, since 6 + 605 + 8 + 7 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 45319824 = 4554^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66058695 and 66058704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195852 + ... + 196188.

Almost surely, 266058740 is an apocalyptic number.

66058740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66058740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114228114).

66058740 is an abundant number, since it is smaller than the sum of its proper divisors (162397488).

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

66058740 is a wasteful number, since it uses less digits than its factorization.

66058740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 66058740 is about 8127.6527977024. The cubic root of 66058740 is about 404.2438566330.

The spelling of 66058740 in words is "sixty-six million, fifty-eight thousand, seven hundred forty".