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66060036 = 2235721973
BaseRepresentation
bin1111101111111…
…1111100000100
311121022012100000
43323333330010
5113402410121
610315521300
71431333600
oct373777404
9147265300
1066060036
113431a979
121a159230
13108bc3a3
148ab8500
155bed526
hex3efff04

66060036 has 216 divisors, whose sum is σ = 214949280. Its totient is φ = 17635968.

The previous prime is 66060031. The next prime is 66060053. The reversal of 66060036 is 63006066.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66059991 and 66060009.

It is not an unprimeable number, because it can be changed into a prime (66060031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 904896 + ... + 904968.

Almost surely, 266060036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66060036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107474640).

66060036 is an abundant number, since it is smaller than the sum of its proper divisors (148889244).

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

66060036 is a wasteful number, since it uses less digits than its factorization.

66060036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 66060036 is about 8127.7325251265. The cubic root of 66060036 is about 404.2465002227.

The spelling of 66060036 in words is "sixty-six million, sixty thousand, thirty-six", and thus it is an eban number.