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66426930 = 2325898293
BaseRepresentation
bin1111110101100…
…1100000110010
311121222211121200
43331121200302
5114001130210
610331432030
71434422343
oct375314062
9147884550
1066426930
1134550599
121a2b5616
13109ba39b
148b720ca
155c720c0
hex3f59832

66426930 has 48 divisors (see below), whose sum is σ = 174671640. Its totient is φ = 17512704.

The previous prime is 66426923. The next prime is 66426931. The reversal of 66426930 is 3962466.

66426930 is a `hidden beast` number, since 6 + 642 + 6 + 9 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33628401 + 32798529 = 5799^2 + 5727^2 .

It is a super-3 number, since 3×664269303 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66426931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3864 + ... + 12156.

Almost surely, 266426930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66426930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87335820).

66426930 is an abundant number, since it is smaller than the sum of its proper divisors (108244710).

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

66426930 is a wasteful number, since it uses less digits than its factorization.

66426930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66426930 is about 8150.2717746097. The cubic root of 66426930 is about 404.9935069832.

The spelling of 66426930 in words is "sixty-six million, four hundred twenty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 8293 16586 24879 41465 49758 74637 82930 124395 149274 248790 373185 738077 746370 1476154 2214231 3690385 4428462 6642693 7380770 11071155 13285386 22142310 33213465 66426930